1 // Copyright (c) 2017-2022, Lawrence Livermore National Security, LLC and other CEED contributors. 2 // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3 // 4 // SPDX-License-Identifier: BSD-2-Clause 5 // 6 // This file is part of CEED: http://github.com/ceed 7 8 /** 9 @brief Ceed QFunction for building the geometric data for the 2D Poisson operator 10 **/ 11 12 #ifndef poisson2dbuild_h 13 #define poisson2dbuild_h 14 15 #include <ceed.h> 16 17 CEED_QFUNCTION(Poisson2DBuild)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 18 // At every quadrature point, compute w/det(J).adj(J).adj(J)^T and store 19 // the symmetric part of the result. 20 // *INDENT-OFF* 21 // in[0] is Jacobians with shape [2, nc=2, Q] 22 // in[1] is quadrature weights, size (Q) 23 const CeedScalar(*J)[2][CEED_Q_VLA] = (const CeedScalar(*)[2][CEED_Q_VLA])in[0], *w = in[1]; 24 // out[0] is qdata, size (3*Q) 25 CeedScalar(*q_data)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 26 // *INDENT-ON* 27 28 // Quadrature point loop 29 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 30 // Qdata stored in Voigt convention 31 // J: 0 2 q_data: 0 2 adj(J): J11 -J01 32 // 1 3 2 1 -J10 J00 33 const CeedScalar J00 = J[0][0][i]; 34 const CeedScalar J10 = J[0][1][i]; 35 const CeedScalar J01 = J[1][0][i]; 36 const CeedScalar J11 = J[1][1][i]; 37 const CeedScalar qw = w[i] / (J00 * J11 - J10 * J01); 38 q_data[0][i] = qw * (J01 * J01 + J11 * J11); 39 q_data[1][i] = qw * (J00 * J00 + J10 * J10); 40 q_data[2][i] = -qw * (J00 * J01 + J10 * J11); 41 } // End of Quadrature Point Loop 42 43 return CEED_ERROR_SUCCESS; 44 } 45 46 #endif // poisson2dbuild_h 47