1bcb2dfaeSJed Brown# Changes/Release Notes 2bcb2dfaeSJed Brown 3f374d6a3SJeremy L ThompsonOn this page we provide a summary of the main API changes, new features and examples for each release of libCEED. 4bcb2dfaeSJed Brown 5bcb2dfaeSJed Brown(main)= 6bcb2dfaeSJed Brown 7bcb2dfaeSJed Brown## Current `main` branch 8bcb2dfaeSJed Brown 97e7773b5SJeremy L Thompson### Interface changes 107e7773b5SJeremy L Thompson 11*ea6b5821SJeremy L Thompson- Added {c:func}`CeedOperatorSetName` for more readable {c:func}`CeedOperatorView` output. 12*ea6b5821SJeremy L Thompson 13f374d6a3SJeremy L Thompson(v0-10-1)= 14f374d6a3SJeremy L Thompson 15f374d6a3SJeremy L Thompson## v0.10.1 (Apr 11, 2022) 16f374d6a3SJeremy L Thompson 17f374d6a3SJeremy L Thompson### Interface changes 18f374d6a3SJeremy L Thompson 196e15d496SJeremy L Thompson- Added {c:func}`CeedQFunctionSetUserFlopsEstimate` and {c:func}`CeedOperatorGetFlopsEstimate` to facilitate estimating FLOPs in operator application. 206e15d496SJeremy L Thompson 215766aa57SJeremy L Thompson### Bugfix 225766aa57SJeremy L Thompson 235766aa57SJeremy L Thompson- Install JiT source files in install directory to fix GPU functionality for installed libCEED. 245766aa57SJeremy L Thompson 25667e613fSJeremy L Thompson(v0-10)= 26667e613fSJeremy L Thompson 273ed90579SJeremy L Thompson## v0.10 (Mar 21, 2022) 28667e613fSJeremy L Thompson 29667e613fSJeremy L Thompson### Interface changes 30667e613fSJeremy L Thompson 317e7773b5SJeremy L Thompson- Update {c:func}`CeedQFunctionGetFields` and {c:func}`CeedOperatorGetFields` to include number of fields. 32ce4822f6SJeremy L Thompson- Promote to the public API: QFunction and Operator field objects, `CeedQFunctionField` and `CeedOperatorField`, and associated getters, {c:func}`CeedQFunctionGetFields`; {c:func}`CeedQFunctionFieldGetName`; {c:func}`CeedQFunctionFieldGetSize`; {c:func}`CeedQFunctionFieldGetEvalMode`; {c:func}`CeedOperatorGetFields`; {c:func}`CeedOperatorFieldGetElemRestriction`; {c:func}`CeedOperatorFieldGetBasis`; and {c:func}`CeedOperatorFieldGetVector`. 33f04ea552SJeremy L Thompson- Clarify and document conditions where `CeedQFunction` and `CeedOperator` become immutable and no further fields or suboperators can be added. 3470a7ffb3SJeremy L Thompson- Add {c:func}`CeedOperatorLinearAssembleQFunctionBuildOrUpdate` to reduce object creation overhead in assembly of CeedOperator preconditioning ingredients. 354db537f9SJeremy L Thompson- Promote {c:func}`CeedOperatorCheckReady`to the public API to facilitate interactive interfaces. 36dcc1e3ecSJeremy L Thompson- Warning added when compiling OCCA backend to alert users that this backend is experimental. 379a1d3511SJeremy L Thompson- `ceed-backend.h`, `ceed-hash.h`, and `ceed-khash.h` removed. Users should use `ceed/backend.h`, `ceed/hash.h`, and `ceed/khash.h`. 3843e1b16fSJeremy L Thompson- Added {c:func}`CeedQFunctionGetKernelName`; refactored {c:func}`CeedQFunctionGetSourcePath` to exclude function kernel name. 399c774eddSJeremy L Thompson- Clarify documentation for {c:func}`CeedVectorTakeArray`; this function will error if {c:func}`CeedVectorSetArray` with `copy_mode == CEED_USE_POINTER` was not previously called for the corresponding `CeedMemType`. 409c774eddSJeremy L Thompson- Added {c:func}`CeedVectorGetArrayWrite` that allows access to uninitalized arrays; require initalized data for {c:func}`CeedVectorGetArray`. 41c38440baSJed Brown- Added {c:func}`CeedQFunctionContextRegisterDouble` and {c:func}`CeedQFunctionContextRegisterInt32` with {c:func}`CeedQFunctionContextSetDouble` and {c:func}`CeedQFunctionContextSetInt32` to facilitate easy updating of {c:struct}`CeedQFunctionContext` data by user defined field names. 42cdf32b93SJeremy L Thompson- Added {c:func}`CeedQFunctionContextGetFieldDescriptions` to retreive user defined descriptions of fields that are registered with `CeedQFunctionContextRegister*`. 437a06ec9fSJeremy L Thompson- Renamed `CeedElemTopology` entries for clearer namespacing between libCEED enums. 44f4f98f9dSJeremy L Thompson- Added type `CeedSize` equivalent to `ptrdiff_t` for array sizes in {c:func}`CeedVectorCreate`, {c:func}`CeedVectorGetLength`, `CeedElemRestrictionCreate*`, {c:func}`CeedElemRestrictionGetLVectorSize`, and {c:func}`CeedOperatorLinearAssembleSymbolic`. This is a breaking change. 458b919e6bSJeremy L Thompson- Added {c:func}`CeedOperatorSetQFunctionUpdated` to facilitate QFunction data re-use between operators sharing the same quadrature space, such as in a multigrid hierarchy. 46c9366a6bSJeremy L Thompson- Added {c:func}`CeedOperatorGetActiveVectorLengths` to get shape of CeedOperator. 477e7773b5SJeremy L Thompson 48f479eb23SJeremy L Thompson### New features 49f479eb23SJeremy L Thompson 50f479eb23SJeremy L Thompson- `CeedScalar` can now be set as `float` or `double` at compile time. 5130601ac0SJeremy L Thompson- Added JiT utilities in `ceed/jit-tools.h` to reduce duplicated code in GPU backends. 52fb3c7d02SJeremy L Thompson- Added support for JiT of QFunctions with `#include "relative/path/local-file.h"` statements for additional local files. Note that files included with `""` are searched relative to the current file first, then by compiler paths (as with `<>` includes). To use this feature, one should adhere to relative paths only, not compiler flags like `-I`, which the JiT will not be aware of. 5323dfbf5bSJeremy L Thompson- Remove need to guard library headers in QFunction source for code generation backends. 543f21f6b1SJeremy L Thompson- `CeedDebugEnv()` macro created to provide debugging outputs when Ceed context is not present. 55f7e22acaSJeremy L Thompson- Added {c:func}`CeedStringAllocCopy` to reduce repeated code for copying strings internally. 563451974fSJeremy L Thompson- Added {c:func}`CeedPathConcatenate` to facilitate loading kernel source files with a path relative to the current file. 577a06ec9fSJeremy L Thompson- Added support for non-tensor H(div) elements, to include CPU backend implementations and {c:func}`CeedBasisCreateHdiv` convenience constructor. 58d34e270fSJeremy L Thompson- Added {c:func}`CeedQFunctionSetContextWritable` and read-only access to `CeedQFunctionContext` data as an optional feature to improve GPU performance. By default, calling the `CeedQFunctionUser` during {c:func}`CeedQFunctionApply` is assumed to write into the `CeedQFunctionContext` data, consistent with the previous behavior. Note that if a user asserts that their `CeedQFunctionUser` does not write into the `CeedQFunctionContext` data, they are responsible for the validity of this assertion. 5959ad764aSnbeams- Added support for element matrix assembly in GPU backends. 60f479eb23SJeremy L Thompson 61bcb2dfaeSJed Brown### Maintainability 62bcb2dfaeSJed Brown 63bcb2dfaeSJed Brown- Refactored preconditioner support internally to facilitate future development and improve GPU completeness/test coverage. 64db52d626SJeremy L Thompson- `Include-what-you-use` makefile target added as `make iwyu`. 65bf4cb664SJeremy L Thompson- Create backend constant `CEED_FIELD_MAX` to reduce magic numbers in codebase. 663451974fSJeremy L Thompson- Put GPU JiTed kernel source code into separate files. 67f9996dfdSJeremy L Thompson- Dropped legacy version support in PETSc based examples to better utilize PETSc DMPlex and Mat updates to support libCEED; current minimum PETSc version for the examples is v3.17. 68bcb2dfaeSJed Brown 69bcb2dfaeSJed Brown(v0-9)= 70bcb2dfaeSJed Brown 71bcb2dfaeSJed Brown## v0.9 (Jul 6, 2021) 72bcb2dfaeSJed Brown 73bcb2dfaeSJed Brown### Interface changes 74bcb2dfaeSJed Brown 75bcb2dfaeSJed Brown- Minor modification in error handling macro to silence pedantic warnings when compiling with Clang, but no functional impact. 76bcb2dfaeSJed Brown 77bcb2dfaeSJed Brown### New features 78bcb2dfaeSJed Brown 79bcb2dfaeSJed Brown- Add {c:func}`CeedVectorAXPY` and {c:func}`CeedVectorPointwiseMult` as a convenience for stand-alone testing and internal use. 80bcb2dfaeSJed Brown- Add `CEED_QFUNCTION_HELPER` macro to properly annotate QFunction helper functions for code generation backends. 81bcb2dfaeSJed Brown- Add `CeedPragmaOptimizeOff` macro for code that is sensitive to floating point errors from fast math optimizations. 82bcb2dfaeSJed Brown- Rust support: split `libceed-sys` crate out of `libceed` and [publish both on crates.io](https://crates.io/crates/libceed). 83bcb2dfaeSJed Brown 84bcb2dfaeSJed Brown### Performance improvements 85bcb2dfaeSJed Brown 86bcb2dfaeSJed Brown### Examples 87bcb2dfaeSJed Brown 88bcb2dfaeSJed Brown- Solid mechanics mini-app updated to explore the performance impacts of various formulations in the initial and current configurations. 89bcb2dfaeSJed Brown- Fluid mechanics example adds GPU support and improves modularity. 90bcb2dfaeSJed Brown 91bcb2dfaeSJed Brown### Deprecated backends 92bcb2dfaeSJed Brown 93bcb2dfaeSJed Brown- The `/cpu/self/tmpl` and `/cpu/self/tmpl/sub` backends have been removed. These backends were intially added to test the backend inheritance mechanism, but this mechanism is now widely used and tested in multiple backends. 94bcb2dfaeSJed Brown 95bcb2dfaeSJed Brown(v0-8)= 96bcb2dfaeSJed Brown 97bcb2dfaeSJed Brown## v0.8 (Mar 31, 2021) 98bcb2dfaeSJed Brown 99bcb2dfaeSJed Brown### Interface changes 100bcb2dfaeSJed Brown 101bcb2dfaeSJed Brown- Error handling improved to include enumerated error codes for C interface return values. 102bcb2dfaeSJed Brown- Installed headers that will follow semantic versioning were moved to {code}`include/ceed` directory. These headers have been renamed from {code}`ceed-*.h` to {code}`ceed/*.h`. Placeholder headers with the old naming schema are currently provided, but these headers will be removed in the libCEED v0.9 release. 103bcb2dfaeSJed Brown 104bcb2dfaeSJed Brown### New features 105bcb2dfaeSJed Brown 106bcb2dfaeSJed Brown- Julia and Rust interfaces added, providing a nearly 1-1 correspondence with the C interface, plus some convenience features. 107bcb2dfaeSJed Brown- Static libraries can be built with `make STATIC=1` and the pkg-config file is installed accordingly. 108bcb2dfaeSJed Brown- Add {c:func}`CeedOperatorLinearAssembleSymbolic` and {c:func}`CeedOperatorLinearAssemble` to support full assembly of libCEED operators. 109bcb2dfaeSJed Brown 110bcb2dfaeSJed Brown### Performance improvements 111bcb2dfaeSJed Brown 112bcb2dfaeSJed Brown- New HIP MAGMA backends for hipMAGMA library users: `/gpu/hip/magma` and `/gpu/hip/magma/det`. 113bcb2dfaeSJed Brown- New HIP backends for improved tensor basis performance: `/gpu/hip/shared` and `/gpu/hip/gen`. 114bcb2dfaeSJed Brown 115bcb2dfaeSJed Brown### Examples 116bcb2dfaeSJed Brown 117bcb2dfaeSJed Brown- {ref}`example-petsc-elasticity` example updated with traction boundary conditions and improved Dirichlet boundary conditions. 118bcb2dfaeSJed Brown- {ref}`example-petsc-elasticity` example updated with Neo-Hookean hyperelasticity in current configuration as well as improved Neo-Hookean hyperelasticity exploring storage vs computation tradeoffs. 119bcb2dfaeSJed Brown- {ref}`example-petsc-navier-stokes` example updated with isentropic traveling vortex test case, an analytical solution to the Euler equations that is useful for testing boundary conditions, discretization stability, and order of accuracy. 120bcb2dfaeSJed Brown- {ref}`example-petsc-navier-stokes` example updated with support for performing convergence study and plotting order of convergence by polynomial degree. 121bcb2dfaeSJed Brown 122bcb2dfaeSJed Brown(v0-7)= 123bcb2dfaeSJed Brown 124bcb2dfaeSJed Brown## v0.7 (Sep 29, 2020) 125bcb2dfaeSJed Brown 126bcb2dfaeSJed Brown### Interface changes 127bcb2dfaeSJed Brown 128bcb2dfaeSJed Brown- Replace limited {code}`CeedInterlaceMode` with more flexible component stride {code}`compstride` in {code}`CeedElemRestriction` constructors. 129bcb2dfaeSJed Brown As a result, the {code}`indices` parameter has been replaced with {code}`offsets` and the {code}`nnodes` parameter has been replaced with {code}`lsize`. 130bcb2dfaeSJed Brown These changes improve support for mixed finite element methods. 131bcb2dfaeSJed Brown- Replace various uses of {code}`Ceed*Get*Status` with {code}`Ceed*Is*` in the backend API to match common nomenclature. 132bcb2dfaeSJed Brown- Replace {code}`CeedOperatorAssembleLinearDiagonal` with {c:func}`CeedOperatorLinearAssembleDiagonal` for clarity. 133bcb2dfaeSJed Brown- Linear Operators can be assembled as point-block diagonal matrices with {c:func}`CeedOperatorLinearAssemblePointBlockDiagonal`, provided in row-major form in a {code}`ncomp` by {code}`ncomp` block per node. 134bcb2dfaeSJed Brown- Diagonal assemble interface changed to accept a {ref}`CeedVector` instead of a pointer to a {ref}`CeedVector` to reduce memory movement when interfacing with calling code. 135bcb2dfaeSJed Brown- Added {c:func}`CeedOperatorLinearAssembleAddDiagonal` and {c:func}`CeedOperatorLinearAssembleAddPointBlockDiagonal` for improved future integration with codes such as MFEM that compose the action of {ref}`CeedOperator`s external to libCEED. 136bcb2dfaeSJed Brown- Added {c:func}`CeedVectorTakeAray` to sync and remove libCEED read/write access to an allocated array and pass ownership of the array to the caller. 137bcb2dfaeSJed Brown This function is recommended over {c:func}`CeedVectorSyncArray` when the {code}`CeedVector` has an array owned by the caller that was set by {c:func}`CeedVectorSetArray`. 138bcb2dfaeSJed Brown- Added {code}`CeedQFunctionContext` object to manage user QFunction context data and reduce copies between device and host memory. 139bcb2dfaeSJed Brown- Added {c:func}`CeedOperatorMultigridLevelCreate`, {c:func}`CeedOperatorMultigridLevelCreateTensorH1`, and {c:func}`CeedOperatorMultigridLevelCreateH1` to facilitate creation of multigrid prolongation, restriction, and coarse grid operators using a common quadrature space. 140bcb2dfaeSJed Brown 141bcb2dfaeSJed Brown### New features 142bcb2dfaeSJed Brown 143bcb2dfaeSJed Brown- New HIP backend: `/gpu/hip/ref`. 144bcb2dfaeSJed Brown- CeedQFunction support for user `CUfunction`s in some backends 145bcb2dfaeSJed Brown 146bcb2dfaeSJed Brown### Performance improvements 147bcb2dfaeSJed Brown 148bcb2dfaeSJed Brown- OCCA backend rebuilt to facilitate future performance enhancements. 149bcb2dfaeSJed Brown- Petsc BPs suite improved to reduce noise due to multiple calls to {code}`mpiexec`. 150bcb2dfaeSJed Brown 151bcb2dfaeSJed Brown### Examples 152bcb2dfaeSJed Brown 153bcb2dfaeSJed Brown- {ref}`example-petsc-elasticity` example updated with strain energy computation and more flexible boundary conditions. 154bcb2dfaeSJed Brown 155bcb2dfaeSJed Brown### Deprecated backends 156bcb2dfaeSJed Brown 157bcb2dfaeSJed Brown- The `/gpu/cuda/reg` backend has been removed, with its core features moved into `/gpu/cuda/ref` and `/gpu/cuda/shared`. 158bcb2dfaeSJed Brown 159bcb2dfaeSJed Brown(v0-6)= 160bcb2dfaeSJed Brown 161bcb2dfaeSJed Brown## v0.6 (Mar 29, 2020) 162bcb2dfaeSJed Brown 163bcb2dfaeSJed BrownlibCEED v0.6 contains numerous new features and examples, as well as expanded 16413964f07SJed Browndocumentation in [this new website](https://libceed.org). 165bcb2dfaeSJed Brown 166bcb2dfaeSJed Brown### New features 167bcb2dfaeSJed Brown 168bcb2dfaeSJed Brown- New Python interface using [CFFI](https://cffi.readthedocs.io/) provides a nearly 169bcb2dfaeSJed Brown 1-1 correspondence with the C interface, plus some convenience features. For instance, 170bcb2dfaeSJed Brown data stored in the {cpp:type}`CeedVector` structure are available without copy as 171bcb2dfaeSJed Brown {py:class}`numpy.ndarray`. Short tutorials are provided in 172bcb2dfaeSJed Brown [Binder](https://mybinder.org/v2/gh/CEED/libCEED/main?urlpath=lab/tree/examples/tutorials/). 173bcb2dfaeSJed Brown- Linear QFunctions can be assembled as block-diagonal matrices (per quadrature point, 174bcb2dfaeSJed Brown {c:func}`CeedOperatorAssembleLinearQFunction`) or to evaluate the diagonal 175bcb2dfaeSJed Brown ({c:func}`CeedOperatorAssembleLinearDiagonal`). These operations are useful for 176bcb2dfaeSJed Brown preconditioning ingredients and are used in the libCEED's multigrid examples. 177bcb2dfaeSJed Brown- The inverse of separable operators can be obtained using 178bcb2dfaeSJed Brown {c:func}`CeedOperatorCreateFDMElementInverse` and applied with 179bcb2dfaeSJed Brown {c:func}`CeedOperatorApply`. This is a useful preconditioning ingredient, 180bcb2dfaeSJed Brown especially for Laplacians and related operators. 181bcb2dfaeSJed Brown- New functions: {c:func}`CeedVectorNorm`, {c:func}`CeedOperatorApplyAdd`, 182bcb2dfaeSJed Brown {c:func}`CeedQFunctionView`, {c:func}`CeedOperatorView`. 183bcb2dfaeSJed Brown- Make public accessors for various attributes to facilitate writing composable code. 184bcb2dfaeSJed Brown- New backend: `/cpu/self/memcheck/serial`. 185bcb2dfaeSJed Brown- QFunctions using variable-length array (VLA) pointer constructs can be used with CUDA 186bcb2dfaeSJed Brown backends. (Single source is coming soon for OCCA backends.) 187bcb2dfaeSJed Brown- Fix some missing edge cases in CUDA backend. 188bcb2dfaeSJed Brown 189bcb2dfaeSJed Brown### Performance Improvements 190bcb2dfaeSJed Brown 191bcb2dfaeSJed Brown- MAGMA backend performance optimization and non-tensor bases. 192bcb2dfaeSJed Brown- No-copy optimization in {c:func}`CeedOperatorApply`. 193bcb2dfaeSJed Brown 194bcb2dfaeSJed Brown### Interface changes 195bcb2dfaeSJed Brown 196bcb2dfaeSJed Brown- Replace {code}`CeedElemRestrictionCreateIdentity` and 197bcb2dfaeSJed Brown {code}`CeedElemRestrictionCreateBlocked` with more flexible 198bcb2dfaeSJed Brown {c:func}`CeedElemRestrictionCreateStrided` and 199bcb2dfaeSJed Brown {c:func}`CeedElemRestrictionCreateBlockedStrided`. 200bcb2dfaeSJed Brown- Add arguments to {c:func}`CeedQFunctionCreateIdentity`. 201bcb2dfaeSJed Brown- Replace ambiguous uses of {cpp:enum}`CeedTransposeMode` for L-vector identification 202bcb2dfaeSJed Brown with {cpp:enum}`CeedInterlaceMode`. This is now an attribute of the 203bcb2dfaeSJed Brown {cpp:type}`CeedElemRestriction` (see {c:func}`CeedElemRestrictionCreate`) and no 204bcb2dfaeSJed Brown longer passed as `lmode` arguments to {c:func}`CeedOperatorSetField` and 205bcb2dfaeSJed Brown {c:func}`CeedElemRestrictionApply`. 206bcb2dfaeSJed Brown 207bcb2dfaeSJed Brown### Examples 208bcb2dfaeSJed Brown 209bcb2dfaeSJed BrownlibCEED-0.6 contains greatly expanded examples with {ref}`new documentation <Examples>`. 210bcb2dfaeSJed BrownNotable additions include: 211bcb2dfaeSJed Brown 212bcb2dfaeSJed Brown- Standalone {ref}`ex2-surface` ({file}`examples/ceed/ex2-surface`): compute the area of 213bcb2dfaeSJed Brown a domain in 1, 2, and 3 dimensions by applying a Laplacian. 214bcb2dfaeSJed Brown 215bcb2dfaeSJed Brown- PETSc {ref}`example-petsc-area` ({file}`examples/petsc/area.c`): computes surface area 216bcb2dfaeSJed Brown of domains (like the cube and sphere) by direct integration on a surface mesh; 217bcb2dfaeSJed Brown demonstrates geometric dimension different from topological dimension. 218bcb2dfaeSJed Brown 219bcb2dfaeSJed Brown- PETSc {ref}`example-petsc-bps`: 220bcb2dfaeSJed Brown 221bcb2dfaeSJed Brown - {file}`examples/petsc/bpsraw.c` (formerly `bps.c`): transparent CUDA support. 222bcb2dfaeSJed Brown - {file}`examples/petsc/bps.c` (formerly `bpsdmplex.c`): performance improvements 223bcb2dfaeSJed Brown and transparent CUDA support. 224bcb2dfaeSJed Brown - {ref}`example-petsc-bps-sphere` ({file}`examples/petsc/bpssphere.c`): 225bcb2dfaeSJed Brown generalizations of all CEED BPs to the surface of the sphere; demonstrates geometric 226bcb2dfaeSJed Brown dimension different from topological dimension. 227bcb2dfaeSJed Brown 228bcb2dfaeSJed Brown- {ref}`example-petsc-multigrid` ({file}`examples/petsc/multigrid.c`): new p-multigrid 229bcb2dfaeSJed Brown solver with algebraic multigrid coarse solve. 230bcb2dfaeSJed Brown 231bcb2dfaeSJed Brown- {ref}`example-petsc-navier-stokes` ({file}`examples/fluids/navierstokes.c`; formerly 232bcb2dfaeSJed Brown `examples/navier-stokes`): unstructured grid support (using PETSc's `DMPlex`), 233bcb2dfaeSJed Brown implicit time integration, SU/SUPG stabilization, free-slip boundary conditions, and 234bcb2dfaeSJed Brown quasi-2D computational domain support. 235bcb2dfaeSJed Brown 236bcb2dfaeSJed Brown- {ref}`example-petsc-elasticity` ({file}`examples/solids/elasticity.c`): new solver for 237bcb2dfaeSJed Brown linear elasticity, small-strain hyperelasticity, and globalized finite-strain 238bcb2dfaeSJed Brown hyperelasticity using p-multigrid with algebraic multigrid coarse solve. 239bcb2dfaeSJed Brown 240bcb2dfaeSJed Brown(v0-5)= 241bcb2dfaeSJed Brown 242bcb2dfaeSJed Brown## v0.5 (Sep 18, 2019) 243bcb2dfaeSJed Brown 244bcb2dfaeSJed BrownFor this release, several improvements were made. Two new CUDA backends were added to 245bcb2dfaeSJed Brownthe family of backends, of which, the new `cuda-gen` backend achieves state-of-the-art 246bcb2dfaeSJed Brownperformance using single-source {ref}`CeedQFunction`. From this release, users 247bcb2dfaeSJed Browncan define Q-Functions in a single source code independently of the targeted backend 248bcb2dfaeSJed Brownwith the aid of a new macro `CEED QFUNCTION` to support JIT (Just-In-Time) and CPU 249bcb2dfaeSJed Browncompilation of the user provided {ref}`CeedQFunction` code. To allow a unified 250bcb2dfaeSJed Browndeclaration, the {ref}`CeedQFunction` API has undergone a slight change: 251bcb2dfaeSJed Brownthe `QFunctionField` parameter `ncomp` has been changed to `size`. This change 252bcb2dfaeSJed Brownrequires setting the previous value of `ncomp` to `ncomp*dim` when adding a 253bcb2dfaeSJed Brown`QFunctionField` with eval mode `CEED EVAL GRAD`. 254bcb2dfaeSJed Brown 255bcb2dfaeSJed BrownAdditionally, new CPU backends 256bcb2dfaeSJed Brownwere included in this release, such as the `/cpu/self/opt/*` backends (which are 257bcb2dfaeSJed Brownwritten in pure C and use partial **E-vectors** to improve performance) and the 258bcb2dfaeSJed Brown`/cpu/self/ref/memcheck` backend (which relies upon the 259bcb2dfaeSJed Brown[Valgrind](http://valgrind.org/) Memcheck tool to help verify that user 260bcb2dfaeSJed Brown{ref}`CeedQFunction` have no undefined values). 261bcb2dfaeSJed BrownThis release also included various performance improvements, bug fixes, new examples, 262bcb2dfaeSJed Brownand improved tests. Among these improvements, vectorized instructions for 263bcb2dfaeSJed Brown{ref}`CeedQFunction` code compiled for CPU were enhanced by using `CeedPragmaSIMD` 264bcb2dfaeSJed Browninstead of `CeedPragmaOMP`, implementation of a {ref}`CeedQFunction` gallery and 265bcb2dfaeSJed Brownidentity Q-Functions were introduced, and the PETSc benchmark problems were expanded 266bcb2dfaeSJed Brownto include unstructured meshes handling were. For this expansion, the prior version of 267bcb2dfaeSJed Brownthe PETSc BPs, which only included data associated with structured geometries, were 268bcb2dfaeSJed Brownrenamed `bpsraw`, and the new version of the BPs, which can handle data associated 269bcb2dfaeSJed Brownwith any unstructured geometry, were called `bps`. Additionally, other benchmark 270bcb2dfaeSJed Brownproblems, namely BP2 and BP4 (the vector-valued versions of BP1 and BP3, respectively), 271bcb2dfaeSJed Brownand BP5 and BP6 (the collocated versions---for which the quadrature points are the same 272bcb2dfaeSJed Brownas the Gauss Lobatto nodes---of BP3 and BP4 respectively) were added to the PETSc 273bcb2dfaeSJed Brownexamples. Furthermoew, another standalone libCEED example, called `ex2`, which 274bcb2dfaeSJed Browncomputes the surface area of a given mesh was added to this release. 275bcb2dfaeSJed Brown 276bcb2dfaeSJed BrownBackends available in this release: 277bcb2dfaeSJed Brown 27868e843eeSJed Brown| CEED resource (`-ceed`) | Backend | 27968e843eeSJed Brown|--------------------------|-----------------------------------------------------| 28068e843eeSJed Brown| `/cpu/self/ref/serial` | Serial reference implementation | 28168e843eeSJed Brown| `/cpu/self/ref/blocked` | Blocked reference implementation | 28268e843eeSJed Brown| `/cpu/self/ref/memcheck` | Memcheck backend, undefined value checks | 28368e843eeSJed Brown| `/cpu/self/opt/serial` | Serial optimized C implementation | 28468e843eeSJed Brown| `/cpu/self/opt/blocked` | Blocked optimized C implementation | 28568e843eeSJed Brown| `/cpu/self/avx/serial` | Serial AVX implementation | 28668e843eeSJed Brown| `/cpu/self/avx/blocked` | Blocked AVX implementation | 28768e843eeSJed Brown| `/cpu/self/xsmm/serial` | Serial LIBXSMM implementation | 28868e843eeSJed Brown| `/cpu/self/xsmm/blocked` | Blocked LIBXSMM implementation | 28968e843eeSJed Brown| `/cpu/occa` | Serial OCCA kernels | 29068e843eeSJed Brown| `/gpu/occa` | CUDA OCCA kernels | 29168e843eeSJed Brown| `/omp/occa` | OpenMP OCCA kernels | 29268e843eeSJed Brown| `/ocl/occa` | OpenCL OCCA kernels | 29368e843eeSJed Brown| `/gpu/cuda/ref` | Reference pure CUDA kernels | 29468e843eeSJed Brown| `/gpu/cuda/reg` | Pure CUDA kernels using one thread per element | 29568e843eeSJed Brown| `/gpu/cuda/shared` | Optimized pure CUDA kernels using shared memory | 29668e843eeSJed Brown| `/gpu/cuda/gen` | Optimized pure CUDA kernels using code generation | 29768e843eeSJed Brown| `/gpu/magma` | CUDA MAGMA kernels | 298bcb2dfaeSJed Brown 299bcb2dfaeSJed BrownExamples available in this release: 300bcb2dfaeSJed Brown 30168e843eeSJed Brown:::{list-table} 30268e843eeSJed Brown:header-rows: 1 30368e843eeSJed Brown:widths: auto 30468e843eeSJed Brown* - User code 30568e843eeSJed Brown - Example 30668e843eeSJed Brown* - `ceed` 30768e843eeSJed Brown - * ex1 (volume) 30868e843eeSJed Brown * ex2 (surface) 30968e843eeSJed Brown* - `mfem` 31068e843eeSJed Brown - * BP1 (scalar mass operator) 31168e843eeSJed Brown * BP3 (scalar Laplace operator) 31268e843eeSJed Brown* - `petsc` 31368e843eeSJed Brown - * BP1 (scalar mass operator) 31468e843eeSJed Brown * BP2 (vector mass operator) 31568e843eeSJed Brown * BP3 (scalar Laplace operator) 31668e843eeSJed Brown * BP4 (vector Laplace operator) 31768e843eeSJed Brown * BP5 (collocated scalar Laplace operator) 31868e843eeSJed Brown * BP6 (collocated vector Laplace operator) 31968e843eeSJed Brown * Navier-Stokes 32068e843eeSJed Brown* - `nek5000` 32168e843eeSJed Brown - * BP1 (scalar mass operator) 32268e843eeSJed Brown * BP3 (scalar Laplace operator) 32368e843eeSJed Brown::: 324bcb2dfaeSJed Brown 325bcb2dfaeSJed Brown(v0-4)= 326bcb2dfaeSJed Brown 327bcb2dfaeSJed Brown## v0.4 (Apr 1, 2019) 328bcb2dfaeSJed Brown 329bcb2dfaeSJed BrownlibCEED v0.4 was made again publicly available in the second full CEED software 330bcb2dfaeSJed Browndistribution, release CEED 2.0. This release contained notable features, such as 331bcb2dfaeSJed Brownfour new CPU backends, two new GPU backends, CPU backend optimizations, initial 332bcb2dfaeSJed Brownsupport for operator composition, performance benchmarking, and a Navier-Stokes demo. 333bcb2dfaeSJed BrownThe new CPU backends in this release came in two families. The `/cpu/self/*/serial` 334bcb2dfaeSJed Brownbackends process one element at a time and are intended for meshes with a smaller number 335bcb2dfaeSJed Brownof high order elements. The `/cpu/self/*/blocked` backends process blocked batches of 336bcb2dfaeSJed Browneight interlaced elements and are intended for meshes with higher numbers of elements. 337bcb2dfaeSJed BrownThe `/cpu/self/avx/*` backends rely upon AVX instructions to provide vectorized CPU 338bcb2dfaeSJed Brownperformance. The `/cpu/self/xsmm/*` backends rely upon the 339bcb2dfaeSJed Brown[LIBXSMM](http://github.com/hfp/libxsmm) package to provide vectorized CPU 340bcb2dfaeSJed Brownperformance. The `/gpu/cuda/*` backends provide GPU performance strictly using CUDA. 341bcb2dfaeSJed BrownThe `/gpu/cuda/ref` backend is a reference CUDA backend, providing reasonable 342bcb2dfaeSJed Brownperformance for most problem configurations. The `/gpu/cuda/reg` backend uses a simple 343bcb2dfaeSJed Brownparallelization approach, where each thread treats a finite element. Using just in time 344bcb2dfaeSJed Browncompilation, provided by nvrtc (NVidia Runtime Compiler), and runtime parameters, this 345bcb2dfaeSJed Brownbackend unroll loops and map memory address to registers. The `/gpu/cuda/reg` backend 346bcb2dfaeSJed Brownachieve good peak performance for 1D, 2D, and low order 3D problems, but performance 347bcb2dfaeSJed Browndeteriorates very quickly when threads run out of registers. 348bcb2dfaeSJed Brown 349bcb2dfaeSJed BrownA new explicit time-stepping Navier-Stokes solver was added to the family of libCEED 350bcb2dfaeSJed Brownexamples in the `examples/petsc` directory (see {ref}`example-petsc-navier-stokes`). 351bcb2dfaeSJed BrownThis example solves the time-dependent Navier-Stokes equations of compressible gas 352bcb2dfaeSJed Browndynamics in a static Eulerian three-dimensional frame, using structured high-order 353bcb2dfaeSJed Brownfinite/spectral element spatial discretizations and explicit high-order time-stepping 354bcb2dfaeSJed Brown(available in PETSc). Moreover, the Navier-Stokes example was developed using PETSc, 355bcb2dfaeSJed Brownso that the pointwise physics (defined at quadrature points) is separated from the 356bcb2dfaeSJed Brownparallelization and meshing concerns. 357bcb2dfaeSJed Brown 358bcb2dfaeSJed BrownBackends available in this release: 359bcb2dfaeSJed Brown 36068e843eeSJed Brown| CEED resource (`-ceed`) | Backend | 36168e843eeSJed Brown|--------------------------|-----------------------------------------------------| 36268e843eeSJed Brown| `/cpu/self/ref/serial` | Serial reference implementation | 36368e843eeSJed Brown| `/cpu/self/ref/blocked` | Blocked reference implementation | 36468e843eeSJed Brown| `/cpu/self/tmpl` | Backend template, defaults to `/cpu/self/blocked` | 36568e843eeSJed Brown| `/cpu/self/avx/serial` | Serial AVX implementation | 36668e843eeSJed Brown| `/cpu/self/avx/blocked` | Blocked AVX implementation | 36768e843eeSJed Brown| `/cpu/self/xsmm/serial` | Serial LIBXSMM implementation | 36868e843eeSJed Brown| `/cpu/self/xsmm/blocked` | Blocked LIBXSMM implementation | 36968e843eeSJed Brown| `/cpu/occa` | Serial OCCA kernels | 37068e843eeSJed Brown| `/gpu/occa` | CUDA OCCA kernels | 37168e843eeSJed Brown| `/omp/occa` | OpenMP OCCA kernels | 37268e843eeSJed Brown| `/ocl/occa` | OpenCL OCCA kernels | 37368e843eeSJed Brown| `/gpu/cuda/ref` | Reference pure CUDA kernels | 37468e843eeSJed Brown| `/gpu/cuda/reg` | Pure CUDA kernels using one thread per element | 37568e843eeSJed Brown| `/gpu/magma` | CUDA MAGMA kernels | 376bcb2dfaeSJed Brown 377bcb2dfaeSJed BrownExamples available in this release: 378bcb2dfaeSJed Brown 37968e843eeSJed Brown:::{list-table} 38068e843eeSJed Brown:header-rows: 1 38168e843eeSJed Brown:widths: auto 38268e843eeSJed Brown* - User code 38368e843eeSJed Brown - Example 38468e843eeSJed Brown* - `ceed` 38568e843eeSJed Brown - * ex1 (volume) 38668e843eeSJed Brown* - `mfem` 38768e843eeSJed Brown - * BP1 (scalar mass operator) 38868e843eeSJed Brown * BP3 (scalar Laplace operator) 38968e843eeSJed Brown* - `petsc` 39068e843eeSJed Brown - * BP1 (scalar mass operator) 39168e843eeSJed Brown * BP3 (scalar Laplace operator) 39268e843eeSJed Brown * Navier-Stokes 39368e843eeSJed Brown* - `nek5000` 39468e843eeSJed Brown - * BP1 (scalar mass operator) 39568e843eeSJed Brown * BP3 (scalar Laplace operator) 39668e843eeSJed Brown::: 397bcb2dfaeSJed Brown 398bcb2dfaeSJed Brown(v0-3)= 399bcb2dfaeSJed Brown 400bcb2dfaeSJed Brown## v0.3 (Sep 30, 2018) 401bcb2dfaeSJed Brown 402bcb2dfaeSJed BrownNotable features in this release include active/passive field interface, support for 403bcb2dfaeSJed Brownnon-tensor bases, backend optimization, and improved Fortran interface. This release 404bcb2dfaeSJed Brownalso focused on providing improved continuous integration, and many new tests with code 405bcb2dfaeSJed Browncoverage reports of about 90%. This release also provided a significant change to the 406bcb2dfaeSJed Brownpublic interface: a {ref}`CeedQFunction` can take any number of named input and output 407bcb2dfaeSJed Brownarguments while {ref}`CeedOperator` connects them to the actual data, which may be 408bcb2dfaeSJed Brownsupplied explicitly to `CeedOperatorApply()` (active) or separately via 409bcb2dfaeSJed Brown`CeedOperatorSetField()` (passive). This interface change enables reusable libraries 410bcb2dfaeSJed Brownof CeedQFunctions and composition of block solvers constructed using 411bcb2dfaeSJed Brown{ref}`CeedOperator`. A concept of blocked restriction was added to this release and 412bcb2dfaeSJed Brownused in an optimized CPU backend. Although this is typically not visible to the user, 413bcb2dfaeSJed Brownit enables effective use of arbitrary-length SIMD while maintaining cache locality. 414bcb2dfaeSJed BrownThis CPU backend also implements an algebraic factorization of tensor product gradients 415bcb2dfaeSJed Brownto perform fewer operations than standard application of interpolation and 416bcb2dfaeSJed Browndifferentiation from nodes to quadrature points. This algebraic formulation 417bcb2dfaeSJed Brownautomatically supports non-polynomial and non-interpolatory bases, thus is more general 418bcb2dfaeSJed Brownthan the more common derivation in terms of Lagrange polynomials on the quadrature points. 419bcb2dfaeSJed Brown 420bcb2dfaeSJed BrownBackends available in this release: 421bcb2dfaeSJed Brown 42268e843eeSJed Brown| CEED resource (`-ceed`) | Backend | 42368e843eeSJed Brown|-------------------------|-----------------------------------------------------| 42468e843eeSJed Brown| `/cpu/self/blocked` | Blocked reference implementation | 42568e843eeSJed Brown| `/cpu/self/ref` | Serial reference implementation | 42668e843eeSJed Brown| `/cpu/self/tmpl` | Backend template, defaults to `/cpu/self/blocked` | 42768e843eeSJed Brown| `/cpu/occa` | Serial OCCA kernels | 42868e843eeSJed Brown| `/gpu/occa` | CUDA OCCA kernels | 42968e843eeSJed Brown| `/omp/occa` | OpenMP OCCA kernels | 43068e843eeSJed Brown| `/ocl/occa` | OpenCL OCCA kernels | 43168e843eeSJed Brown| `/gpu/magma` | CUDA MAGMA kernels | 432bcb2dfaeSJed Brown 433bcb2dfaeSJed BrownExamples available in this release: 434bcb2dfaeSJed Brown 43568e843eeSJed Brown:::{list-table} 43668e843eeSJed Brown:header-rows: 1 43768e843eeSJed Brown:widths: auto 43868e843eeSJed Brown* - User code 43968e843eeSJed Brown - Example 44068e843eeSJed Brown* - `ceed` 44168e843eeSJed Brown - * ex1 (volume) 44268e843eeSJed Brown* - `mfem` 44368e843eeSJed Brown - * BP1 (scalar mass operator) 44468e843eeSJed Brown * BP3 (scalar Laplace operator) 44568e843eeSJed Brown* - `petsc` 44668e843eeSJed Brown - * BP1 (scalar mass operator) 44768e843eeSJed Brown * BP3 (scalar Laplace operator) 44868e843eeSJed Brown* - `nek5000` 44968e843eeSJed Brown - * BP1 (scalar mass operator) 45068e843eeSJed Brown * BP3 (scalar Laplace operator) 45168e843eeSJed Brown::: 452bcb2dfaeSJed Brown 453bcb2dfaeSJed Brown(v0-21)= 454bcb2dfaeSJed Brown 455bcb2dfaeSJed Brown## v0.21 (Sep 30, 2018) 456bcb2dfaeSJed Brown 457bcb2dfaeSJed BrownA MAGMA backend (which relies upon the 458bcb2dfaeSJed Brown[MAGMA](https://bitbucket.org/icl/magma) package) was integrated in libCEED for this 459bcb2dfaeSJed Brownrelease. This initial integration set up the framework of using MAGMA and provided the 460bcb2dfaeSJed BrownlibCEED functionality through MAGMA kernels as one of libCEED’s computational backends. 461bcb2dfaeSJed BrownAs any other backend, the MAGMA backend provides extended basic data structures for 462bcb2dfaeSJed Brown{ref}`CeedVector`, {ref}`CeedElemRestriction`, and {ref}`CeedOperator`, and implements 463bcb2dfaeSJed Brownthe fundamental CEED building blocks to work with the new data structures. 464bcb2dfaeSJed BrownIn general, the MAGMA-specific data structures keep the libCEED pointers to CPU data 465bcb2dfaeSJed Brownbut also add corresponding device (e.g., GPU) pointers to the data. Coherency is handled 466bcb2dfaeSJed Browninternally, and thus seamlessly to the user, through the functions/methods that are 467bcb2dfaeSJed Brownprovided to support them. 468bcb2dfaeSJed Brown 469bcb2dfaeSJed BrownBackends available in this release: 470bcb2dfaeSJed Brown 47168e843eeSJed Brown| CEED resource (`-ceed`) | Backend | 47268e843eeSJed Brown|-------------------------|---------------------------------| 47368e843eeSJed Brown| `/cpu/self` | Serial reference implementation | 47468e843eeSJed Brown| `/cpu/occa` | Serial OCCA kernels | 47568e843eeSJed Brown| `/gpu/occa` | CUDA OCCA kernels | 47668e843eeSJed Brown| `/omp/occa` | OpenMP OCCA kernels | 47768e843eeSJed Brown| `/ocl/occa` | OpenCL OCCA kernels | 47868e843eeSJed Brown| `/gpu/magma` | CUDA MAGMA kernels | 479bcb2dfaeSJed Brown 480bcb2dfaeSJed BrownExamples available in this release: 481bcb2dfaeSJed Brown 48268e843eeSJed Brown:::{list-table} 48368e843eeSJed Brown:header-rows: 1 48468e843eeSJed Brown:widths: auto 48568e843eeSJed Brown* - User code 48668e843eeSJed Brown - Example 48768e843eeSJed Brown* - `ceed` 48868e843eeSJed Brown - * ex1 (volume) 48968e843eeSJed Brown* - `mfem` 49068e843eeSJed Brown - * BP1 (scalar mass operator) 49168e843eeSJed Brown * BP3 (scalar Laplace operator) 49268e843eeSJed Brown* - `petsc` 49368e843eeSJed Brown - * BP1 (scalar mass operator) 49468e843eeSJed Brown* - `nek5000` 49568e843eeSJed Brown - * BP1 (scalar mass operator) 49668e843eeSJed Brown::: 497bcb2dfaeSJed Brown 498bcb2dfaeSJed Brown(v0-2)= 499bcb2dfaeSJed Brown 500bcb2dfaeSJed Brown## v0.2 (Mar 30, 2018) 501bcb2dfaeSJed Brown 502bcb2dfaeSJed BrownlibCEED was made publicly available the first full CEED software distribution, release 503bcb2dfaeSJed BrownCEED 1.0. The distribution was made available using the Spack package manager to provide 504bcb2dfaeSJed Browna common, easy-to-use build environment, where the user can build the CEED distribution 505bcb2dfaeSJed Brownwith all dependencies. This release included a new Fortran interface for the library. 506bcb2dfaeSJed BrownThis release also contained major improvements in the OCCA backend (including a new 507bcb2dfaeSJed Brown`/ocl/occa` backend) and new examples. The standalone libCEED example was modified to 508bcb2dfaeSJed Browncompute the volume volume of a given mesh (in 1D, 2D, or 3D) and placed in an 509bcb2dfaeSJed Brown`examples/ceed` subfolder. A new `mfem` example to perform BP3 (with the application 510bcb2dfaeSJed Brownof the Laplace operator) was also added to this release. 511bcb2dfaeSJed Brown 512bcb2dfaeSJed BrownBackends available in this release: 513bcb2dfaeSJed Brown 51468e843eeSJed Brown| CEED resource (`-ceed`) | Backend | 51568e843eeSJed Brown|-------------------------|---------------------------------| 51668e843eeSJed Brown| `/cpu/self` | Serial reference implementation | 51768e843eeSJed Brown| `/cpu/occa` | Serial OCCA kernels | 51868e843eeSJed Brown| `/gpu/occa` | CUDA OCCA kernels | 51968e843eeSJed Brown| `/omp/occa` | OpenMP OCCA kernels | 52068e843eeSJed Brown| `/ocl/occa` | OpenCL OCCA kernels | 521bcb2dfaeSJed Brown 522bcb2dfaeSJed BrownExamples available in this release: 523bcb2dfaeSJed Brown 52468e843eeSJed Brown:::{list-table} 52568e843eeSJed Brown:header-rows: 1 52668e843eeSJed Brown:widths: auto 52768e843eeSJed Brown* - User code 52868e843eeSJed Brown - Example 52968e843eeSJed Brown* - `ceed` 53068e843eeSJed Brown - * ex1 (volume) 53168e843eeSJed Brown* - `mfem` 53268e843eeSJed Brown - * BP1 (scalar mass operator) 53368e843eeSJed Brown * BP3 (scalar Laplace operator) 53468e843eeSJed Brown* - `petsc` 53568e843eeSJed Brown - * BP1 (scalar mass operator) 53668e843eeSJed Brown* - `nek5000` 53768e843eeSJed Brown - * BP1 (scalar mass operator) 53868e843eeSJed Brown::: 539bcb2dfaeSJed Brown 540bcb2dfaeSJed Brown(v0-1)= 541bcb2dfaeSJed Brown 542bcb2dfaeSJed Brown## v0.1 (Jan 3, 2018) 543bcb2dfaeSJed Brown 544bcb2dfaeSJed BrownInitial low-level API of the CEED project. The low-level API provides a set of Finite 545bcb2dfaeSJed BrownElements kernels and components for writing new low-level kernels. Examples include: 546bcb2dfaeSJed Brownvector and sparse linear algebra, element matrix assembly over a batch of elements, 547bcb2dfaeSJed Brownpartial assembly and action for efficient high-order operators like mass, diffusion, 548bcb2dfaeSJed Brownadvection, etc. The main goal of the low-level API is to establish the basis for the 549bcb2dfaeSJed Brownhigh-level API. Also, identifying such low-level kernels and providing a reference 550bcb2dfaeSJed Brownimplementation for them serves as the basis for specialized backend implementations. 551bcb2dfaeSJed BrownThis release contained several backends: `/cpu/self`, and backends which rely upon the 552bcb2dfaeSJed Brown[OCCA](http://github.com/libocca/occa) package, such as `/cpu/occa`, 553bcb2dfaeSJed Brown`/gpu/occa`, and `/omp/occa`. 554bcb2dfaeSJed BrownIt also included several examples, in the `examples` folder: 555bcb2dfaeSJed BrownA standalone code that shows the usage of libCEED (with no external 556bcb2dfaeSJed Browndependencies) to apply the Laplace operator, `ex1`; an `mfem` example to perform BP1 557bcb2dfaeSJed Brown(with the application of the mass operator); and a `petsc` example to perform BP1 558bcb2dfaeSJed Brown(with the application of the mass operator). 559bcb2dfaeSJed Brown 560bcb2dfaeSJed BrownBackends available in this release: 561bcb2dfaeSJed Brown 56268e843eeSJed Brown| CEED resource (`-ceed`) | Backend | 56368e843eeSJed Brown|-------------------------|---------------------------------| 56468e843eeSJed Brown| `/cpu/self` | Serial reference implementation | 56568e843eeSJed Brown| `/cpu/occa` | Serial OCCA kernels | 56668e843eeSJed Brown| `/gpu/occa` | CUDA OCCA kernels | 56768e843eeSJed Brown| `/omp/occa` | OpenMP OCCA kernels | 568bcb2dfaeSJed Brown 569bcb2dfaeSJed BrownExamples available in this release: 570bcb2dfaeSJed Brown 571bcb2dfaeSJed Brown| User code | Example | 57268e843eeSJed Brown|-----------------------|-----------------------------------| 57368e843eeSJed Brown| `ceed` | ex1 (scalar Laplace operator) | 57468e843eeSJed Brown| `mfem` | BP1 (scalar mass operator) | 57568e843eeSJed Brown| `petsc` | BP1 (scalar mass operator) | 576bcb2dfaeSJed Brown``` 577