1*9ba83ac0SJeremy L Thompson // Copyright (c) 2017-2026, Lawrence Livermore National Security, LLC and other CEED contributors. 2b5404d5dSSebastian Grimberg // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3b5404d5dSSebastian Grimberg // 4b5404d5dSSebastian Grimberg // SPDX-License-Identifier: BSD-2-Clause 5b5404d5dSSebastian Grimberg // 6b5404d5dSSebastian Grimberg // This file is part of CEED: http://github.com/ceed 7b5404d5dSSebastian Grimberg 8b5404d5dSSebastian Grimberg #include <ceed.h> 9b5404d5dSSebastian Grimberg 10b5404d5dSSebastian Grimberg // H(curl) basis for order 2 Nédélec (first kind) triangle element in 2D 11b5404d5dSSebastian Grimberg // See: https://defelement.com/elements/examples/triangle-N1curl-2.html 12b5404d5dSSebastian Grimberg static void BuildHcurl2DSimplex(CeedScalar *q_ref, CeedScalar *q_weight, CeedScalar *interp, CeedScalar *curl) { 13b5404d5dSSebastian Grimberg CeedInt P = 8, Q = 4; 14b5404d5dSSebastian Grimberg 15b5404d5dSSebastian Grimberg q_ref[0] = 1. / 3.; 16b5404d5dSSebastian Grimberg q_ref[4] = 1. / 3.; 17b5404d5dSSebastian Grimberg q_ref[1] = 0.2; 18b5404d5dSSebastian Grimberg q_ref[5] = 0.2; 19b5404d5dSSebastian Grimberg q_ref[2] = 0.2; 20b5404d5dSSebastian Grimberg q_ref[6] = 0.6; 21b5404d5dSSebastian Grimberg q_ref[3] = 0.6; 22b5404d5dSSebastian Grimberg q_ref[7] = 0.2; 23b5404d5dSSebastian Grimberg q_weight[0] = -25. / 96.; 24b5404d5dSSebastian Grimberg q_weight[1] = 25. / 96.; 25b5404d5dSSebastian Grimberg q_weight[2] = 27. / 96.; 26b5404d5dSSebastian Grimberg q_weight[3] = 25. / 96.; 27b5404d5dSSebastian Grimberg 28b5404d5dSSebastian Grimberg // Loop over quadrature points 29b5404d5dSSebastian Grimberg for (int i = 0; i < Q; i++) { 30b5404d5dSSebastian Grimberg CeedScalar x1 = q_ref[0 * Q + i], x2 = q_ref[1 * Q + i]; 31b5404d5dSSebastian Grimberg // Interp 32b5404d5dSSebastian Grimberg interp[(i + 0) * P + 0] = 2. * x2 * (1. - 4. * x1); 33b5404d5dSSebastian Grimberg interp[(i + Q) * P + 0] = 4. * x1 * (2. * x1 - 1.); 34b5404d5dSSebastian Grimberg interp[(i + 0) * P + 1] = 4. * x2 * (1. - 2. * x2); 35b5404d5dSSebastian Grimberg interp[(i + Q) * P + 1] = 2. * x1 * (4. * x2 - 1.); 36b5404d5dSSebastian Grimberg interp[(i + 0) * P + 2] = 2. * x2 * (-4. * x1 - 4. * x2 + 3.); 37b5404d5dSSebastian Grimberg interp[(i + Q) * P + 2] = 8. * x1 * x1 + 8. * x1 * x2 - 12. * x1 - 6. * x2 + 4.; 38b5404d5dSSebastian Grimberg interp[(i + 0) * P + 3] = 4. * x2 * (2. * x2 - 1.); 39b5404d5dSSebastian Grimberg interp[(i + Q) * P + 3] = -8. * x1 * x2 + 2. * x1 + 6. * x2 - 2.; 40b5404d5dSSebastian Grimberg interp[(i + 0) * P + 4] = 8. * x1 * x2 - 6. * x1 + 8. * x2 * x2 - 12. * x2 + 4.; 41b5404d5dSSebastian Grimberg interp[(i + Q) * P + 4] = 2. * x1 * (-4. * x1 - 4. * x2 + 3.); 42b5404d5dSSebastian Grimberg interp[(i + 0) * P + 5] = -8. * x1 * x2 + 6. * x1 + 2. * x2 - 2.; 43b5404d5dSSebastian Grimberg interp[(i + Q) * P + 5] = 4. * x1 * (2. * x1 - 1.); 44b5404d5dSSebastian Grimberg interp[(i + 0) * P + 6] = 8. * x2 * (-x1 - 2. * x2 + 2.); 45b5404d5dSSebastian Grimberg interp[(i + Q) * P + 6] = 8. * x1 * (x1 + 2. * x2 - 1.); 46b5404d5dSSebastian Grimberg interp[(i + 0) * P + 7] = 8. * x2 * (2. * x1 + x2 - 1.); 47b5404d5dSSebastian Grimberg interp[(i + Q) * P + 7] = 8. * x1 * (-2. * x1 - x2 + 2.); 48b5404d5dSSebastian Grimberg // Curl 49b5404d5dSSebastian Grimberg curl[i * P + 0] = 24. * x1 - 6.; 50b5404d5dSSebastian Grimberg curl[i * P + 1] = 24. * x2 - 6.; 51b5404d5dSSebastian Grimberg curl[i * P + 2] = 24. * x1 + 24. * x2 - 18.; 52b5404d5dSSebastian Grimberg curl[i * P + 3] = -24. * x2 + 6.; 53b5404d5dSSebastian Grimberg curl[i * P + 4] = -24. * x1 - 24. * x2 + 18.; 54b5404d5dSSebastian Grimberg curl[i * P + 5] = 24. * x1 - 6.; 55b5404d5dSSebastian Grimberg curl[i * P + 6] = 24. * x1 + 48. * x2 - 24.; 56b5404d5dSSebastian Grimberg curl[i * P + 7] = -48. * x1 - 24. * x1 + 24.; 57b5404d5dSSebastian Grimberg } 58b5404d5dSSebastian Grimberg } 59