15aed82e4SJeremy L Thompson // Copyright (c) 2017-2024, Lawrence Livermore National Security, LLC and other CEED contributors. 2a0154adeSJed Brown // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3a0154adeSJed Brown // 4a0154adeSJed Brown // SPDX-License-Identifier: BSD-2-Clause 5a0154adeSJed Brown // 6a0154adeSJed Brown // This file is part of CEED: http://github.com/ceed 7a0154adeSJed Brown 8a0154adeSJed Brown /** 9a0154adeSJed Brown @brief Ceed QFunction for building the geometric data for the 2D Poisson operator 10a0154adeSJed Brown **/ 11a0154adeSJed Brown 12*c0b5abf0SJeremy L Thompson #include <ceed/types.h> 13c9c2c079SJeremy L Thompson 142b730f8bSJeremy L Thompson CEED_QFUNCTION(Poisson2DBuild)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 15a0154adeSJed Brown // At every quadrature point, compute w/det(J).adj(J).adj(J)^T and store 16a0154adeSJed Brown // the symmetric part of the result. 17a0154adeSJed Brown // in[0] is Jacobians with shape [2, nc=2, Q] 18a0154adeSJed Brown // in[1] is quadrature weights, size (Q) 192b730f8bSJeremy L Thompson const CeedScalar(*J)[2][CEED_Q_VLA] = (const CeedScalar(*)[2][CEED_Q_VLA])in[0], *w = in[1]; 20a0154adeSJed Brown // out[0] is qdata, size (3*Q) 21a0154adeSJed Brown CeedScalar(*q_data)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 22a0154adeSJed Brown 23a0154adeSJed Brown // Quadrature point loop 242b730f8bSJeremy L Thompson CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 25a0154adeSJed Brown // Qdata stored in Voigt convention 26a0154adeSJed Brown // J: 0 2 q_data: 0 2 adj(J): J11 -J01 27a0154adeSJed Brown // 1 3 2 1 -J10 J00 28a0154adeSJed Brown const CeedScalar J00 = J[0][0][i]; 29a0154adeSJed Brown const CeedScalar J10 = J[0][1][i]; 30a0154adeSJed Brown const CeedScalar J01 = J[1][0][i]; 31a0154adeSJed Brown const CeedScalar J11 = J[1][1][i]; 32a0154adeSJed Brown const CeedScalar qw = w[i] / (J00 * J11 - J10 * J01); 33a0154adeSJed Brown q_data[0][i] = qw * (J01 * J01 + J11 * J11); 34a0154adeSJed Brown q_data[1][i] = qw * (J00 * J00 + J10 * J10); 35a0154adeSJed Brown q_data[2][i] = -qw * (J00 * J01 + J10 * J11); 36a0154adeSJed Brown } // End of Quadrature Point Loop 37a0154adeSJed Brown 38a0154adeSJed Brown return CEED_ERROR_SUCCESS; 39a0154adeSJed Brown } 40