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Intrepid
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00001 // @HEADER 00002 // ************************************************************************ 00003 // 00004 // Intrepid Package 00005 // Copyright (2007) Sandia Corporation 00006 // 00007 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive 00008 // license for use of this work by or on behalf of the U.S. Government. 00009 // 00010 // Redistribution and use in source and binary forms, with or without 00011 // modification, are permitted provided that the following conditions are 00012 // met: 00013 // 00014 // 1. Redistributions of source code must retain the above copyright 00015 // notice, this list of conditions and the following disclaimer. 00016 // 00017 // 2. Redistributions in binary form must reproduce the above copyright 00018 // notice, this list of conditions and the following disclaimer in the 00019 // documentation and/or other materials provided with the distribution. 00020 // 00021 // 3. Neither the name of the Corporation nor the names of the 00022 // contributors may be used to endorse or promote products derived from 00023 // this software without specific prior written permission. 00024 // 00025 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY 00026 // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 00027 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 00028 // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE 00029 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, 00030 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 00031 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 00032 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF 00033 // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING 00034 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 00035 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 00036 // 00037 // Questions? Contact Pavel Bochev (pbboche@sandia.gov) 00038 // Denis Ridzal (dridzal@sandia.gov), or 00039 // Kara Peterson (kjpeter@sandia.gov) 00040 // 00041 // ************************************************************************ 00042 // @HEADER 00043 00049 #include "Intrepid_FieldContainer.hpp" 00050 #include "Intrepid_HGRAD_QUAD_Cn_FEM.hpp" 00051 #include "Intrepid_DefaultCubatureFactory.hpp" 00052 #include "Intrepid_RealSpaceTools.hpp" 00053 #include "Intrepid_ArrayTools.hpp" 00054 #include "Intrepid_FunctionSpaceTools.hpp" 00055 #include "Intrepid_CellTools.hpp" 00056 #include "Intrepid_PointTools.hpp" 00057 #include "Teuchos_oblackholestream.hpp" 00058 #include "Teuchos_RCP.hpp" 00059 #include "Teuchos_GlobalMPISession.hpp" 00060 #include "Teuchos_SerialDenseMatrix.hpp" 00061 #include "Teuchos_SerialDenseVector.hpp" 00062 #include "Teuchos_LAPACK.hpp" 00063 00064 using namespace std; 00065 using namespace Intrepid; 00066 00067 void rhsFunc(FieldContainer<double> &, const FieldContainer<double> &, int, int); 00068 void neumann(FieldContainer<double> & , 00069 const FieldContainer<double> & , 00070 const FieldContainer<double> & , 00071 const shards::CellTopology & , 00072 int, int, int); 00073 void u_exact(FieldContainer<double> &, const FieldContainer<double> &, int, int); 00074 00076 void rhsFunc(FieldContainer<double> & result, 00077 const FieldContainer<double> & points, 00078 int xd, 00079 int yd) { 00080 00081 int x = 0, y = 1; 00082 00083 // second x-derivatives of u 00084 if (xd > 1) { 00085 for (int cell=0; cell<result.dimension(0); cell++) { 00086 for (int pt=0; pt<result.dimension(1); pt++) { 00087 result(cell,pt) = - xd*(xd-1)*std::pow(points(cell,pt,x), xd-2) * std::pow(points(cell,pt,y), yd); 00088 } 00089 } 00090 } 00091 00092 // second y-derivatives of u 00093 if (yd > 1) { 00094 for (int cell=0; cell<result.dimension(0); cell++) { 00095 for (int pt=0; pt<result.dimension(1); pt++) { 00096 result(cell,pt) -= yd*(yd-1)*std::pow(points(cell,pt,y), yd-2) * std::pow(points(cell,pt,x), xd); 00097 } 00098 } 00099 } 00100 00101 // add u 00102 for (int cell=0; cell<result.dimension(0); cell++) { 00103 for (int pt=0; pt<result.dimension(1); pt++) { 00104 result(cell,pt) += std::pow(points(cell,pt,x), xd) * std::pow(points(cell,pt,y), yd); 00105 } 00106 } 00107 00108 } 00109 00110 00112 void neumann(FieldContainer<double> & result, 00113 const FieldContainer<double> & points, 00114 const FieldContainer<double> & jacs, 00115 const shards::CellTopology & parentCell, 00116 int sideOrdinal, int xd, int yd) { 00117 00118 int x = 0, y = 1; 00119 00120 int numCells = result.dimension(0); 00121 int numPoints = result.dimension(1); 00122 00123 FieldContainer<double> grad_u(numCells, numPoints, 2); 00124 FieldContainer<double> side_normals(numCells, numPoints, 2); 00125 FieldContainer<double> normal_lengths(numCells, numPoints); 00126 00127 // first x-derivatives of u 00128 if (xd > 0) { 00129 for (int cell=0; cell<numCells; cell++) { 00130 for (int pt=0; pt<numPoints; pt++) { 00131 grad_u(cell,pt,x) = xd*std::pow(points(cell,pt,x), xd-1) * std::pow(points(cell,pt,y), yd); 00132 } 00133 } 00134 } 00135 00136 // first y-derivatives of u 00137 if (yd > 0) { 00138 for (int cell=0; cell<numCells; cell++) { 00139 for (int pt=0; pt<numPoints; pt++) { 00140 grad_u(cell,pt,y) = yd*std::pow(points(cell,pt,y), yd-1) * std::pow(points(cell,pt,x), xd); 00141 } 00142 } 00143 } 00144 00145 CellTools<double>::getPhysicalSideNormals(side_normals, jacs, sideOrdinal, parentCell); 00146 00147 // scale normals 00148 RealSpaceTools<double>::vectorNorm(normal_lengths, side_normals, NORM_TWO); 00149 FunctionSpaceTools::scalarMultiplyDataData<double>(side_normals, normal_lengths, side_normals, true); 00150 00151 FunctionSpaceTools::dotMultiplyDataData<double>(result, grad_u, side_normals); 00152 00153 } 00154 00156 void u_exact(FieldContainer<double> & result, const FieldContainer<double> & points, int xd, int yd) { 00157 int x = 0, y = 1; 00158 for (int cell=0; cell<result.dimension(0); cell++) { 00159 for (int pt=0; pt<result.dimension(1); pt++) { 00160 result(cell,pt) = std::pow(points(pt,x), xd)*std::pow(points(pt,y), yd); 00161 } 00162 } 00163 } 00164 00165 00166 00167 00168 int main(int argc, char *argv[]) { 00169 00170 Teuchos::GlobalMPISession mpiSession(&argc, &argv); 00171 00172 // This little trick lets us print to std::cout only if 00173 // a (dummy) command-line argument is provided. 00174 int iprint = argc - 1; 00175 Teuchos::RCP<std::ostream> outStream; 00176 Teuchos::oblackholestream bhs; // outputs nothing 00177 if (iprint > 0) 00178 outStream = Teuchos::rcp(&std::cout, false); 00179 else 00180 outStream = Teuchos::rcp(&bhs, false); 00181 00182 // Save the format state of the original std::cout. 00183 Teuchos::oblackholestream oldFormatState; 00184 oldFormatState.copyfmt(std::cout); 00185 00186 *outStream \ 00187 << "===============================================================================\n" \ 00188 << "| |\n" \ 00189 << "| Unit Test (Basis_HGRAD_QUAD_Cn_FEM) |\n" \ 00190 << "| |\n" \ 00191 << "| 1) Patch test involving mass and stiffness matrices, |\n" \ 00192 << "| for the Neumann problem on a physical parallelogram |\n" \ 00193 << "| AND a reference quad Omega with boundary Gamma. |\n" \ 00194 << "| |\n" \ 00195 << "| - div (grad u) + u = f in Omega, (grad u) . n = g on Gamma |\n" \ 00196 << "| |\n" \ 00197 << "| For a generic parallelogram, the basis recovers a complete |\n" \ 00198 << "| polynomial space of order 2. On a (scaled and/or translated) |\n" \ 00199 << "| reference quad, the basis recovers a complete tensor product |\n" \ 00200 << "| space of order 2 (i.e. incl. the x^2*y, x*y^2, x^2*y^2 terms). |\n" \ 00201 << "| |\n" \ 00202 << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov), |\n" \ 00203 << "| Denis Ridzal (dridzal@sandia.gov), |\n" \ 00204 << "| Kara Peterson (kjpeter@sandia.gov). |\n" \ 00205 << "| |\n" \ 00206 << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \ 00207 << "| Trilinos website: http://trilinos.sandia.gov |\n" \ 00208 << "| |\n" \ 00209 << "===============================================================================\n"\ 00210 << "| TEST 1: Patch test |\n"\ 00211 << "===============================================================================\n"; 00212 00213 00214 int errorFlag = 0; 00215 00216 outStream -> precision(16); 00217 00218 00219 try { 00220 00221 int max_order = 2; // max total order of polynomial solution 00222 DefaultCubatureFactory<double> cubFactory; // create cubature factory 00223 shards::CellTopology cell(shards::getCellTopologyData< shards::Quadrilateral<> >()); // create parent cell topology 00224 shards::CellTopology side(shards::getCellTopologyData< shards::Line<> >()); // create relevant subcell (side) topology 00225 int cellDim = cell.getDimension(); 00226 int sideDim = side.getDimension(); 00227 00228 // Define array containing points at which the solution is evaluated, in reference cell. 00229 int numIntervals = 10; 00230 int numInterpPoints = (numIntervals + 1)*(numIntervals + 1); 00231 FieldContainer<double> interp_points_ref(numInterpPoints, 2); 00232 int counter = 0; 00233 for (int j=0; j<=numIntervals; j++) { 00234 for (int i=0; i<=numIntervals; i++) { 00235 interp_points_ref(counter,0) = i*(2.0/numIntervals)-1.0; 00236 interp_points_ref(counter,1) = j*(2.0/numIntervals)-1.0; 00237 counter++; 00238 } 00239 } 00240 00241 /* Parent cell definition. */ 00242 FieldContainer<double> cell_nodes[2]; 00243 cell_nodes[0].resize(1, 4, cellDim); 00244 cell_nodes[1].resize(1, 4, cellDim); 00245 00246 // Generic parallelogram. 00247 cell_nodes[0](0, 0, 0) = -5.0; 00248 cell_nodes[0](0, 0, 1) = -1.0; 00249 cell_nodes[0](0, 1, 0) = 4.0; 00250 cell_nodes[0](0, 1, 1) = 1.0; 00251 cell_nodes[0](0, 2, 0) = 8.0; 00252 cell_nodes[0](0, 2, 1) = 3.0; 00253 cell_nodes[0](0, 3, 0) = -1.0; 00254 cell_nodes[0](0, 3, 1) = 1.0; 00255 // Reference quad. 00256 cell_nodes[1](0, 0, 0) = -1.0; 00257 cell_nodes[1](0, 0, 1) = -1.0; 00258 cell_nodes[1](0, 1, 0) = 1.0; 00259 cell_nodes[1](0, 1, 1) = -1.0; 00260 cell_nodes[1](0, 2, 0) = 1.0; 00261 cell_nodes[1](0, 2, 1) = 1.0; 00262 cell_nodes[1](0, 3, 0) = -1.0; 00263 cell_nodes[1](0, 3, 1) = 1.0; 00264 00265 std::stringstream mystream[2]; 00266 mystream[0].str("\n>> Now testing basis on a generic parallelogram ...\n"); 00267 mystream[1].str("\n>> Now testing basis on the reference quad ...\n"); 00268 00269 for (int pcell = 0; pcell < 2; pcell++) { 00270 *outStream << mystream[pcell].str(); 00271 FieldContainer<double> interp_points(1, numInterpPoints, cellDim); 00272 CellTools<double>::mapToPhysicalFrame(interp_points, interp_points_ref, cell_nodes[pcell], cell); 00273 interp_points.resize(numInterpPoints, cellDim); 00274 00275 for (int x_order=0; x_order <= max_order; x_order++) { 00276 int max_y_order = max_order; 00277 if (pcell == 0) { 00278 max_y_order -= x_order; 00279 } 00280 for (int y_order=0; y_order <= max_y_order; y_order++) { 00281 00282 // evaluate exact solution 00283 FieldContainer<double> exact_solution(1, numInterpPoints); 00284 u_exact(exact_solution, interp_points, x_order, y_order); 00285 00286 int basis_order = 2; 00287 00288 // set test tolerance 00289 double zero = basis_order*basis_order*100*INTREPID_TOL; 00290 00291 //create basis 00292 Teuchos::RCP<Basis<double,FieldContainer<double> > > basis = 00293 Teuchos::rcp(new Basis_HGRAD_QUAD_Cn_FEM<double,FieldContainer<double> >(2,POINTTYPE_SPECTRAL) ); 00294 int numFields = basis->getCardinality(); 00295 00296 // create cubatures 00297 Teuchos::RCP<Cubature<double> > cellCub = cubFactory.create(cell, 2*basis_order); 00298 Teuchos::RCP<Cubature<double> > sideCub = cubFactory.create(side, 2*basis_order); 00299 int numCubPointsCell = cellCub->getNumPoints(); 00300 int numCubPointsSide = sideCub->getNumPoints(); 00301 00302 /* Computational arrays. */ 00303 /* Section 1: Related to parent cell integration. */ 00304 FieldContainer<double> cub_points_cell(numCubPointsCell, cellDim); 00305 FieldContainer<double> cub_points_cell_physical(1, numCubPointsCell, cellDim); 00306 FieldContainer<double> cub_weights_cell(numCubPointsCell); 00307 FieldContainer<double> jacobian_cell(1, numCubPointsCell, cellDim, cellDim); 00308 FieldContainer<double> jacobian_inv_cell(1, numCubPointsCell, cellDim, cellDim); 00309 FieldContainer<double> jacobian_det_cell(1, numCubPointsCell); 00310 FieldContainer<double> weighted_measure_cell(1, numCubPointsCell); 00311 00312 FieldContainer<double> value_of_basis_at_cub_points_cell(numFields, numCubPointsCell); 00313 FieldContainer<double> transformed_value_of_basis_at_cub_points_cell(1, numFields, numCubPointsCell); 00314 FieldContainer<double> weighted_transformed_value_of_basis_at_cub_points_cell(1, numFields, numCubPointsCell); 00315 FieldContainer<double> grad_of_basis_at_cub_points_cell(numFields, numCubPointsCell, cellDim); 00316 FieldContainer<double> transformed_grad_of_basis_at_cub_points_cell(1, numFields, numCubPointsCell, cellDim); 00317 FieldContainer<double> weighted_transformed_grad_of_basis_at_cub_points_cell(1, numFields, numCubPointsCell, cellDim); 00318 FieldContainer<double> fe_matrix(1, numFields, numFields); 00319 00320 FieldContainer<double> rhs_at_cub_points_cell_physical(1, numCubPointsCell); 00321 FieldContainer<double> rhs_and_soln_vector(1, numFields); 00322 00323 /* Section 2: Related to subcell (side) integration. */ 00324 unsigned numSides = 4; 00325 FieldContainer<double> cub_points_side(numCubPointsSide, sideDim); 00326 FieldContainer<double> cub_weights_side(numCubPointsSide); 00327 FieldContainer<double> cub_points_side_refcell(numCubPointsSide, cellDim); 00328 FieldContainer<double> cub_points_side_physical(1, numCubPointsSide, cellDim); 00329 FieldContainer<double> jacobian_side_refcell(1, numCubPointsSide, cellDim, cellDim); 00330 FieldContainer<double> jacobian_det_side_refcell(1, numCubPointsSide); 00331 FieldContainer<double> weighted_measure_side_refcell(1, numCubPointsSide); 00332 00333 FieldContainer<double> value_of_basis_at_cub_points_side_refcell(numFields, numCubPointsSide); 00334 FieldContainer<double> transformed_value_of_basis_at_cub_points_side_refcell(1, numFields, numCubPointsSide); 00335 FieldContainer<double> weighted_transformed_value_of_basis_at_cub_points_side_refcell(1, numFields, numCubPointsSide); 00336 FieldContainer<double> neumann_data_at_cub_points_side_physical(1, numCubPointsSide); 00337 FieldContainer<double> neumann_fields_per_side(1, numFields); 00338 00339 /* Section 3: Related to global interpolant. */ 00340 FieldContainer<double> value_of_basis_at_interp_points(numFields, numInterpPoints); 00341 FieldContainer<double> transformed_value_of_basis_at_interp_points(1, numFields, numInterpPoints); 00342 FieldContainer<double> interpolant(1, numInterpPoints); 00343 00344 FieldContainer<int> ipiv(numFields); 00345 00346 00347 00348 /******************* START COMPUTATION ***********************/ 00349 00350 // get cubature points and weights 00351 cellCub->getCubature(cub_points_cell, cub_weights_cell); 00352 00353 // compute geometric cell information 00354 CellTools<double>::setJacobian(jacobian_cell, cub_points_cell, cell_nodes[pcell], cell); 00355 CellTools<double>::setJacobianInv(jacobian_inv_cell, jacobian_cell); 00356 CellTools<double>::setJacobianDet(jacobian_det_cell, jacobian_cell); 00357 00358 // compute weighted measure 00359 FunctionSpaceTools::computeCellMeasure<double>(weighted_measure_cell, jacobian_det_cell, cub_weights_cell); 00360 00362 // Computing mass matrices: 00363 // tabulate values of basis functions at (reference) cubature points 00364 basis->getValues(value_of_basis_at_cub_points_cell, cub_points_cell, OPERATOR_VALUE); 00365 00366 // transform values of basis functions 00367 FunctionSpaceTools::HGRADtransformVALUE<double>(transformed_value_of_basis_at_cub_points_cell, 00368 value_of_basis_at_cub_points_cell); 00369 00370 // multiply with weighted measure 00371 FunctionSpaceTools::multiplyMeasure<double>(weighted_transformed_value_of_basis_at_cub_points_cell, 00372 weighted_measure_cell, 00373 transformed_value_of_basis_at_cub_points_cell); 00374 00375 // compute mass matrices 00376 FunctionSpaceTools::integrate<double>(fe_matrix, 00377 transformed_value_of_basis_at_cub_points_cell, 00378 weighted_transformed_value_of_basis_at_cub_points_cell, 00379 COMP_BLAS); 00381 00383 // Computing stiffness matrices: 00384 // tabulate gradients of basis functions at (reference) cubature points 00385 basis->getValues(grad_of_basis_at_cub_points_cell, cub_points_cell, OPERATOR_GRAD); 00386 00387 // transform gradients of basis functions 00388 FunctionSpaceTools::HGRADtransformGRAD<double>(transformed_grad_of_basis_at_cub_points_cell, 00389 jacobian_inv_cell, 00390 grad_of_basis_at_cub_points_cell); 00391 00392 // multiply with weighted measure 00393 FunctionSpaceTools::multiplyMeasure<double>(weighted_transformed_grad_of_basis_at_cub_points_cell, 00394 weighted_measure_cell, 00395 transformed_grad_of_basis_at_cub_points_cell); 00396 00397 // compute stiffness matrices and sum into fe_matrix 00398 FunctionSpaceTools::integrate<double>(fe_matrix, 00399 transformed_grad_of_basis_at_cub_points_cell, 00400 weighted_transformed_grad_of_basis_at_cub_points_cell, 00401 COMP_BLAS, 00402 true); 00404 00406 // Computing RHS contributions: 00407 // map cell (reference) cubature points to physical space 00408 CellTools<double>::mapToPhysicalFrame(cub_points_cell_physical, cub_points_cell, cell_nodes[pcell], cell); 00409 00410 // evaluate rhs function 00411 rhsFunc(rhs_at_cub_points_cell_physical, cub_points_cell_physical, x_order, y_order); 00412 00413 // compute rhs 00414 FunctionSpaceTools::integrate<double>(rhs_and_soln_vector, 00415 rhs_at_cub_points_cell_physical, 00416 weighted_transformed_value_of_basis_at_cub_points_cell, 00417 COMP_BLAS); 00418 00419 // compute neumann b.c. contributions and adjust rhs 00420 sideCub->getCubature(cub_points_side, cub_weights_side); 00421 for (unsigned i=0; i<numSides; i++) { 00422 // compute geometric cell information 00423 CellTools<double>::mapToReferenceSubcell(cub_points_side_refcell, cub_points_side, sideDim, (int)i, cell); 00424 CellTools<double>::setJacobian(jacobian_side_refcell, cub_points_side_refcell, cell_nodes[pcell], cell); 00425 CellTools<double>::setJacobianDet(jacobian_det_side_refcell, jacobian_side_refcell); 00426 00427 // compute weighted edge measure 00428 FunctionSpaceTools::computeEdgeMeasure<double>(weighted_measure_side_refcell, 00429 jacobian_side_refcell, 00430 cub_weights_side, 00431 i, 00432 cell); 00433 00434 // tabulate values of basis functions at side cubature points, in the reference parent cell domain 00435 basis->getValues(value_of_basis_at_cub_points_side_refcell, cub_points_side_refcell, OPERATOR_VALUE); 00436 // transform 00437 FunctionSpaceTools::HGRADtransformVALUE<double>(transformed_value_of_basis_at_cub_points_side_refcell, 00438 value_of_basis_at_cub_points_side_refcell); 00439 00440 // multiply with weighted measure 00441 FunctionSpaceTools::multiplyMeasure<double>(weighted_transformed_value_of_basis_at_cub_points_side_refcell, 00442 weighted_measure_side_refcell, 00443 transformed_value_of_basis_at_cub_points_side_refcell); 00444 00445 // compute Neumann data 00446 // map side cubature points in reference parent cell domain to physical space 00447 CellTools<double>::mapToPhysicalFrame(cub_points_side_physical, cub_points_side_refcell, cell_nodes[pcell], cell); 00448 // now compute data 00449 neumann(neumann_data_at_cub_points_side_physical, cub_points_side_physical, jacobian_side_refcell, 00450 cell, (int)i, x_order, y_order); 00451 00452 FunctionSpaceTools::integrate<double>(neumann_fields_per_side, 00453 neumann_data_at_cub_points_side_physical, 00454 weighted_transformed_value_of_basis_at_cub_points_side_refcell, 00455 COMP_BLAS); 00456 00457 // adjust RHS 00458 RealSpaceTools<double>::add(rhs_and_soln_vector, neumann_fields_per_side);; 00459 } 00461 00463 // Solution of linear system: 00464 int info = 0; 00465 Teuchos::LAPACK<int, double> solver; 00466 solver.GESV(numFields, 1, &fe_matrix[0], numFields, &ipiv(0), &rhs_and_soln_vector[0], numFields, &info); 00468 00470 // Building interpolant: 00471 // evaluate basis at interpolation points 00472 basis->getValues(value_of_basis_at_interp_points, interp_points_ref, OPERATOR_VALUE); 00473 // transform values of basis functions 00474 FunctionSpaceTools::HGRADtransformVALUE<double>(transformed_value_of_basis_at_interp_points, 00475 value_of_basis_at_interp_points); 00476 FunctionSpaceTools::evaluate<double>(interpolant, rhs_and_soln_vector, transformed_value_of_basis_at_interp_points); 00478 00479 /******************* END COMPUTATION ***********************/ 00480 00481 RealSpaceTools<double>::subtract(interpolant, exact_solution); 00482 00483 *outStream << "\nRelative norm-2 error between exact solution polynomial of order (" 00484 << x_order << ", " << y_order << ") and finite element interpolant of order " << basis_order << ": " 00485 << RealSpaceTools<double>::vectorNorm(&interpolant[0], interpolant.dimension(1), NORM_TWO) / 00486 RealSpaceTools<double>::vectorNorm(&exact_solution[0], exact_solution.dimension(1), NORM_TWO) << "\n"; 00487 00488 if (RealSpaceTools<double>::vectorNorm(&interpolant[0], interpolant.dimension(1), NORM_TWO) / 00489 RealSpaceTools<double>::vectorNorm(&exact_solution[0], exact_solution.dimension(1), NORM_TWO) > zero) { 00490 *outStream << "\n\nPatch test failed for solution polynomial order (" 00491 << x_order << ", " << y_order << ") and basis order " << basis_order << "\n\n"; 00492 errorFlag++; 00493 } 00494 } // end for y_order 00495 } // end for x_order 00496 } // end for pcell 00497 00498 } 00499 // Catch unexpected errors 00500 catch (std::logic_error err) { 00501 *outStream << err.what() << "\n\n"; 00502 errorFlag = -1000; 00503 }; 00504 00505 if (errorFlag != 0) 00506 std::cout << "End Result: TEST FAILED\n"; 00507 else 00508 std::cout << "End Result: TEST PASSED\n"; 00509 00510 // reset format state of std::cout 00511 std::cout.copyfmt(oldFormatState); 00512 00513 return errorFlag; 00514 }
1.7.6.1