xref: /libCEED/doc/sphinx/source/references.bib (revision 3f21f6b10abeb5d85d3454ea5cd38498737dc88a)
1@article{arruda1993largestretch,
2  title={A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials},
3  author={Arruda, Ellen M and Boyce, Mary C},
4  journal={Journal of the Mechanics and Physics of Solids},
5  volume={41},
6  number={2},
7  pages={389--412},
8  year={1993},
9  publisher={Elsevier},
10  doi={10.1016/0022-5096(93)90013-6}
11}
12
13@book{belytschko2013nonlinear,
14  title={Nonlinear finite elements for continua and structures},
15  author={Belytschko, Ted and Liu, Wing Kam and Moran, Brian and Elkhodary, Khalil},
16  year={2013},
17  publisher={John wiley \& sons}
18}
19
20@article{brown2010,
21  Adsurl={https://doi.org/10.1007/s10915-010-9396-8},
22  Author={{Brown}, J.},
23  Journal={Journal of Scientific Computing},
24  Volume=45,
25  Month=oct,
26  Title={{Efficient Nonlinear Solvers for Nodal High-Order Finite Elements in 3D}},
27  Year=2010,
28  doi={10.1007/s10915-010-9396-8}
29}
30
31@article{giraldoetal2010,
32  author={Giraldo, F. X. and Restelli, M. and Läuter, M.},
33  title={Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling},
34  journal={SIAM Journal on Scientific Computing},
35  volume={32},
36  number={6},
37  pages={3394--3425},
38  year={2010},
39  doi={10.1137/090775889}
40}
41
42@Book{holzapfel2000nonlinear,
43  author={Holzapfel, Gerhard},
44  title={Nonlinear solid mechanics: a continuum approach for engineering},
45  publisher={Wiley},
46  year={2000},
47  address={Chichester New York},
48  isbn={978-0-471-82319-3}
49}
50
51@article{hughesetal2010,
52  title={Stabilized Methods for Compressible Flows},
53  author={Hughes, Thomas J R and Scovazzi, Guglielmo and Tezduyar, Tayfun E},
54  journal={Journal of Scientific Computing},
55  volume={43},
56  pages={343--368},
57  year={2010},
58  doi={10.1007/s10915-008-9233-5}
59}
60
61@book{hughes2012finite,
62  title={The finite element method: linear static and dynamic finite element analysis},
63  author={Hughes, Thomas JR},
64  year={2012},
65  publisher={Courier Corporation}
66}
67
68@article{libceed-joss-paper,
69  author       = {Jed Brown and Ahmad Abdelfattah and Valeria Barra and Natalie Beams and Jean Sylvain Camier and Veselin Dobrev and Yohann Dudouit and Leila Ghaffari and Tzanio Kolev and David Medina and Will Pazner and Thilina Ratnayaka and Jeremy Thompson and Stan Tomov},
70  title        = {{libCEED}: Fast algebra for high-order element-based discretizations},
71  journal      = {Journal of Open Source Software},
72  year         = {2021},
73  publisher    = {The Open Journal},
74  volume       = {6},
75  number       = {63},
76  pages        = {2945},
77  doi          = {10.21105/joss.02945}
78}
79
80@article{papanastasiou1992outflow,
81  title={A new outflow boundary condition},
82  author={Papanastasiou, TC and Malamataris, N and Ellwood K},
83  year={1992},
84  month=mar,
85  pages={587--608},
86  volume={14},
87  journal={International Journal for Numerical Methods in Fluids},
88  doi={10.1002/fld.1650140506}
89}
90
91@article{straka1993numerical,
92  title={Numerical solutions of a non-linear density current: A benchmark solution and comparisons},
93  author={Straka, Jerry M and Wilhelmson, Robert B and Wicker, Louis J and Anderson, John R and Droegemeier, Kelvin K},
94  journal={International Journal for Numerical Methods in Fluids},
95  volume={17},
96  number={1},
97  pages={1--22},
98  year={1993},
99  publisher={Wiley Online Library},
100  doi={10.1002/fld.1650170103}
101}
102
103@article{williams2009roofline,
104  title={Roofline: an insightful visual performance model for multicore architectures},
105  author={Williams, Samuel and Waterman, Andrew and Patterson, David},
106  journal={Communications of the ACM},
107  volume={52},
108  number={4},
109  pages={65--76},
110  year={2009},
111  publisher={ACM New York, NY, USA},
112  doi={10.1145/1498765.1498785}
113}
114
115@article{davydov2020matrix,
116  title={A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid},
117  author={Davydov, Denis and Pelteret, Jean-Paul and Arndt, Daniel and Kronbichler, Martin and Steinmann, Paul},
118  journal={International Journal for Numerical Methods in Engineering},
119  volume={121},
120  number={13},
121  pages={2874--2895},
122  year={2020},
123  publisher={Wiley Online Library},
124  doi={10.1002/nme.6336}
125}
126
127@article{zhang2011verification,
128  title={On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes},
129  author={Zhang, Rui and Zhang, Mengping and Shu, Chi-Wang},
130  volume={9},
131  DOI={10.4208/cicp.291109.080410s},
132  number={3},
133  journal={Communications in Computational Physics},
134  publisher={Cambridge University Press},
135  year={2011},
136  pages={807--827}
137}
138
139@book{bower2010applied,
140  title={Applied mechanics of solids},
141  author={Bower, Allan F},
142  year={2010},
143  publisher={CRC press},
144  isbn={978-1-4398-0247-2}
145}
146