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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_C1_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 "Teuchos_oblackholestream.hpp" 00057 #include "Teuchos_RCP.hpp" 00058 #include "Teuchos_GlobalMPISession.hpp" 00059 #include "Teuchos_SerialDenseMatrix.hpp" 00060 #include "Teuchos_SerialDenseVector.hpp" 00061 #include "Teuchos_LAPACK.hpp" 00062 00063 using namespace std; 00064 using namespace Intrepid; 00065 00066 void rhsFunc(FieldContainer<double> &, const FieldContainer<double> &, int, int); 00067 void neumann(FieldContainer<double> & , 00068 const FieldContainer<double> & , 00069 const FieldContainer<double> & , 00070 const shards::CellTopology & , 00071 int, int, int); 00072 void u_exact(FieldContainer<double> &, const FieldContainer<double> &, int, int); 00073 00075 void rhsFunc(FieldContainer<double> & result, 00076 const FieldContainer<double> & points, 00077 int xd, 00078 int yd) { 00079 00080 int x = 0, y = 1; 00081 00082 // second x-derivatives of u 00083 if (xd > 1) { 00084 for (int cell=0; cell<result.dimension(0); cell++) { 00085 for (int pt=0; pt<result.dimension(1); pt++) { 00086 result(cell,pt) = - xd*(xd-1)*std::pow(points(cell,pt,x), xd-2) * std::pow(points(cell,pt,y), yd); 00087 } 00088 } 00089 } 00090 00091 // second y-derivatives of u 00092 if (yd > 1) { 00093 for (int cell=0; cell<result.dimension(0); cell++) { 00094 for (int pt=0; pt<result.dimension(1); pt++) { 00095 result(cell,pt) -= yd*(yd-1)*std::pow(points(cell,pt,y), yd-2) * std::pow(points(cell,pt,x), xd); 00096 } 00097 } 00098 } 00099 00100 // add u 00101 for (int cell=0; cell<result.dimension(0); cell++) { 00102 for (int pt=0; pt<result.dimension(1); pt++) { 00103 result(cell,pt) += std::pow(points(cell,pt,x), xd) * std::pow(points(cell,pt,y), yd); 00104 } 00105 } 00106 00107 } 00108 00109 00111 void neumann(FieldContainer<double> & result, 00112 const FieldContainer<double> & points, 00113 const FieldContainer<double> & jacs, 00114 const shards::CellTopology & parentCell, 00115 int sideOrdinal, int xd, int yd) { 00116 00117 int x = 0, y = 1; 00118 00119 int numCells = result.dimension(0); 00120 int numPoints = result.dimension(1); 00121 00122 FieldContainer<double> grad_u(numCells, numPoints, 2); 00123 FieldContainer<double> side_normals(numCells, numPoints, 2); 00124 FieldContainer<double> normal_lengths(numCells, numPoints); 00125 00126 // first x-derivatives of u 00127 if (xd > 0) { 00128 for (int cell=0; cell<numCells; cell++) { 00129 for (int pt=0; pt<numPoints; pt++) { 00130 grad_u(cell,pt,x) = xd*std::pow(points(cell,pt,x), xd-1) * std::pow(points(cell,pt,y), yd); 00131 } 00132 } 00133 } 00134 00135 // first y-derivatives of u 00136 if (yd > 0) { 00137 for (int cell=0; cell<numCells; cell++) { 00138 for (int pt=0; pt<numPoints; pt++) { 00139 grad_u(cell,pt,y) = yd*std::pow(points(cell,pt,y), yd-1) * std::pow(points(cell,pt,x), xd); 00140 } 00141 } 00142 } 00143 00144 CellTools<double>::getPhysicalSideNormals(side_normals, jacs, sideOrdinal, parentCell); 00145 00146 // scale normals 00147 RealSpaceTools<double>::vectorNorm(normal_lengths, side_normals, NORM_TWO); 00148 FunctionSpaceTools::scalarMultiplyDataData<double>(side_normals, normal_lengths, side_normals, true); 00149 00150 FunctionSpaceTools::dotMultiplyDataData<double>(result, grad_u, side_normals); 00151 00152 } 00153 00155 void u_exact(FieldContainer<double> & result, const FieldContainer<double> & points, int xd, int yd) { 00156 int x = 0, y = 1; 00157 for (int cell=0; cell<result.dimension(0); cell++) { 00158 for (int pt=0; pt<result.dimension(1); pt++) { 00159 result(cell,pt) = std::pow(points(pt,x), xd)*std::pow(points(pt,y), yd); 00160 } 00161 } 00162 } 00163 00164 00165 00166 00167 int main(int argc, char *argv[]) { 00168 00169 Teuchos::GlobalMPISession mpiSession(&argc, &argv); 00170 00171 // This little trick lets us print to std::cout only if 00172 // a (dummy) command-line argument is provided. 00173 int iprint = argc - 1; 00174 Teuchos::RCP<std::ostream> outStream; 00175 Teuchos::oblackholestream bhs; // outputs nothing 00176 if (iprint > 0) 00177 outStream = Teuchos::rcp(&std::cout, false); 00178 else 00179 outStream = Teuchos::rcp(&bhs, false); 00180 00181 // Save the format state of the original std::cout. 00182 Teuchos::oblackholestream oldFormatState; 00183 oldFormatState.copyfmt(std::cout); 00184 00185 *outStream \ 00186 << "===============================================================================\n" \ 00187 << "| |\n" \ 00188 << "| Unit Test (Basis_HGRAD_QUAD_C1_FEM) |\n" \ 00189 << "| |\n" \ 00190 << "| 1) Patch test involving mass and stiffness matrices, |\n" \ 00191 << "| for the Neumann problem on a physical parallelogram |\n" \ 00192 << "| AND a reference quad Omega with boundary Gamma. |\n" \ 00193 << "| |\n" \ 00194 << "| - div (grad u) + u = f in Omega, (grad u) . n = g on Gamma |\n" \ 00195 << "| |\n" \ 00196 << "| For a generic parallelogram, the basis recovers a complete |\n" \ 00197 << "| polynomial space of order 1. On a (scaled and/or translated) |\n" \ 00198 << "| reference quad, the basis recovers a complete tensor product |\n" \ 00199 << "| space of order 1 (i.e. incl. the xy term). |\n" \ 00200 << "| |\n" \ 00201 << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov), |\n" \ 00202 << "| Denis Ridzal (dridzal@sandia.gov), |\n" \ 00203 << "| Kara Peterson (kjpeter@sandia.gov). |\n" \ 00204 << "| |\n" \ 00205 << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \ 00206 << "| Trilinos website: http://trilinos.sandia.gov |\n" \ 00207 << "| |\n" \ 00208 << "===============================================================================\n"\ 00209 << "| TEST 1: Patch test |\n"\ 00210 << "===============================================================================\n"; 00211 00212 00213 int errorFlag = 0; 00214 00215 outStream -> precision(16); 00216 00217 00218 try { 00219 00220 int max_order = 1; // max total order of polynomial solution 00221 DefaultCubatureFactory<double> cubFactory; // create cubature factory 00222 shards::CellTopology cell(shards::getCellTopologyData< shards::Quadrilateral<> >()); // create parent cell topology 00223 shards::CellTopology side(shards::getCellTopologyData< shards::Line<> >()); // create relevant subcell (side) topology 00224 int cellDim = cell.getDimension(); 00225 int sideDim = side.getDimension(); 00226 00227 // Define array containing points at which the solution is evaluated, in reference cell. 00228 int numIntervals = 10; 00229 int numInterpPoints = (numIntervals + 1)*(numIntervals + 1); 00230 FieldContainer<double> interp_points_ref(numInterpPoints, 2); 00231 int counter = 0; 00232 for (int j=0; j<=numIntervals; j++) { 00233 for (int i=0; i<=numIntervals; i++) { 00234 interp_points_ref(counter,0) = i*(2.0/numIntervals)-1.0; 00235 interp_points_ref(counter,1) = j*(2.0/numIntervals)-1.0; 00236 counter++; 00237 } 00238 } 00239 00240 /* Parent cell definition. */ 00241 FieldContainer<double> cell_nodes[2]; 00242 cell_nodes[0].resize(1, 4, cellDim); 00243 cell_nodes[1].resize(1, 4, cellDim); 00244 00245 // Generic parallelogram. 00246 cell_nodes[0](0, 0, 0) = -5.0; 00247 cell_nodes[0](0, 0, 1) = -1.0; 00248 cell_nodes[0](0, 1, 0) = 4.0; 00249 cell_nodes[0](0, 1, 1) = 1.0; 00250 cell_nodes[0](0, 2, 0) = 8.0; 00251 cell_nodes[0](0, 2, 1) = 3.0; 00252 cell_nodes[0](0, 3, 0) = -1.0; 00253 cell_nodes[0](0, 3, 1) = 1.0; 00254 // Reference quad. 00255 cell_nodes[1](0, 0, 0) = -1.0; 00256 cell_nodes[1](0, 0, 1) = -1.0; 00257 cell_nodes[1](0, 1, 0) = 1.0; 00258 cell_nodes[1](0, 1, 1) = -1.0; 00259 cell_nodes[1](0, 2, 0) = 1.0; 00260 cell_nodes[1](0, 2, 1) = 1.0; 00261 cell_nodes[1](0, 3, 0) = -1.0; 00262 cell_nodes[1](0, 3, 1) = 1.0; 00263 00264 std::stringstream mystream[2]; 00265 mystream[0].str("\n>> Now testing basis on a generic parallelogram ...\n"); 00266 mystream[1].str("\n>> Now testing basis on the reference quad ...\n"); 00267 00268 for (int pcell = 0; pcell < 2; pcell++) { 00269 *outStream << mystream[pcell].str(); 00270 FieldContainer<double> interp_points(1, numInterpPoints, cellDim); 00271 CellTools<double>::mapToPhysicalFrame(interp_points, interp_points_ref, cell_nodes[pcell], cell); 00272 interp_points.resize(numInterpPoints, cellDim); 00273 00274 for (int x_order=0; x_order <= max_order; x_order++) { 00275 int max_y_order = max_order; 00276 if (pcell == 0) { 00277 max_y_order -= x_order; 00278 } 00279 for (int y_order=0; y_order <= max_y_order; y_order++) { 00280 00281 // evaluate exact solution 00282 FieldContainer<double> exact_solution(1, numInterpPoints); 00283 u_exact(exact_solution, interp_points, x_order, y_order); 00284 00285 int basis_order = 1; 00286 00287 // set test tolerance 00288 double zero = basis_order*basis_order*100*INTREPID_TOL; 00289 00290 //create basis 00291 Teuchos::RCP<Basis<double,FieldContainer<double> > > basis = 00292 Teuchos::rcp(new Basis_HGRAD_QUAD_C1_FEM<double,FieldContainer<double> >() ); 00293 int numFields = basis->getCardinality(); 00294 00295 // create cubatures 00296 Teuchos::RCP<Cubature<double> > cellCub = cubFactory.create(cell, 2*basis_order); 00297 Teuchos::RCP<Cubature<double> > sideCub = cubFactory.create(side, 2*basis_order); 00298 int numCubPointsCell = cellCub->getNumPoints(); 00299 int numCubPointsSide = sideCub->getNumPoints(); 00300 00301 /* Computational arrays. */ 00302 /* Section 1: Related to parent cell integration. */ 00303 FieldContainer<double> cub_points_cell(numCubPointsCell, cellDim); 00304 FieldContainer<double> cub_points_cell_physical(1, numCubPointsCell, cellDim); 00305 FieldContainer<double> cub_weights_cell(numCubPointsCell); 00306 FieldContainer<double> jacobian_cell(1, numCubPointsCell, cellDim, cellDim); 00307 FieldContainer<double> jacobian_inv_cell(1, numCubPointsCell, cellDim, cellDim); 00308 FieldContainer<double> jacobian_det_cell(1, numCubPointsCell); 00309 FieldContainer<double> weighted_measure_cell(1, numCubPointsCell); 00310 00311 FieldContainer<double> value_of_basis_at_cub_points_cell(numFields, numCubPointsCell); 00312 FieldContainer<double> transformed_value_of_basis_at_cub_points_cell(1, numFields, numCubPointsCell); 00313 FieldContainer<double> weighted_transformed_value_of_basis_at_cub_points_cell(1, numFields, numCubPointsCell); 00314 FieldContainer<double> grad_of_basis_at_cub_points_cell(numFields, numCubPointsCell, cellDim); 00315 FieldContainer<double> transformed_grad_of_basis_at_cub_points_cell(1, numFields, numCubPointsCell, cellDim); 00316 FieldContainer<double> weighted_transformed_grad_of_basis_at_cub_points_cell(1, numFields, numCubPointsCell, cellDim); 00317 FieldContainer<double> fe_matrix(1, numFields, numFields); 00318 00319 FieldContainer<double> rhs_at_cub_points_cell_physical(1, numCubPointsCell); 00320 FieldContainer<double> rhs_and_soln_vector(1, numFields); 00321 00322 /* Section 2: Related to subcell (side) integration. */ 00323 unsigned numSides = 4; 00324 FieldContainer<double> cub_points_side(numCubPointsSide, sideDim); 00325 FieldContainer<double> cub_weights_side(numCubPointsSide); 00326 FieldContainer<double> cub_points_side_refcell(numCubPointsSide, cellDim); 00327 FieldContainer<double> cub_points_side_physical(1, numCubPointsSide, cellDim); 00328 FieldContainer<double> jacobian_side_refcell(1, numCubPointsSide, cellDim, cellDim); 00329 FieldContainer<double> jacobian_det_side_refcell(1, numCubPointsSide); 00330 FieldContainer<double> weighted_measure_side_refcell(1, numCubPointsSide); 00331 00332 FieldContainer<double> value_of_basis_at_cub_points_side_refcell(numFields, numCubPointsSide); 00333 FieldContainer<double> transformed_value_of_basis_at_cub_points_side_refcell(1, numFields, numCubPointsSide); 00334 FieldContainer<double> weighted_transformed_value_of_basis_at_cub_points_side_refcell(1, numFields, numCubPointsSide); 00335 FieldContainer<double> neumann_data_at_cub_points_side_physical(1, numCubPointsSide); 00336 FieldContainer<double> neumann_fields_per_side(1, numFields); 00337 00338 /* Section 3: Related to global interpolant. */ 00339 FieldContainer<double> value_of_basis_at_interp_points(numFields, numInterpPoints); 00340 FieldContainer<double> transformed_value_of_basis_at_interp_points(1, numFields, numInterpPoints); 00341 FieldContainer<double> interpolant(1, numInterpPoints); 00342 00343 FieldContainer<int> ipiv(numFields); 00344 00345 00346 00347 /******************* START COMPUTATION ***********************/ 00348 00349 // get cubature points and weights 00350 cellCub->getCubature(cub_points_cell, cub_weights_cell); 00351 00352 // compute geometric cell information 00353 CellTools<double>::setJacobian(jacobian_cell, cub_points_cell, cell_nodes[pcell], cell); 00354 CellTools<double>::setJacobianInv(jacobian_inv_cell, jacobian_cell); 00355 CellTools<double>::setJacobianDet(jacobian_det_cell, jacobian_cell); 00356 00357 // compute weighted measure 00358 FunctionSpaceTools::computeCellMeasure<double>(weighted_measure_cell, jacobian_det_cell, cub_weights_cell); 00359 00361 // Computing mass matrices: 00362 // tabulate values of basis functions at (reference) cubature points 00363 basis->getValues(value_of_basis_at_cub_points_cell, cub_points_cell, OPERATOR_VALUE); 00364 00365 // transform values of basis functions 00366 FunctionSpaceTools::HGRADtransformVALUE<double>(transformed_value_of_basis_at_cub_points_cell, 00367 value_of_basis_at_cub_points_cell); 00368 00369 // multiply with weighted measure 00370 FunctionSpaceTools::multiplyMeasure<double>(weighted_transformed_value_of_basis_at_cub_points_cell, 00371 weighted_measure_cell, 00372 transformed_value_of_basis_at_cub_points_cell); 00373 00374 // compute mass matrices 00375 FunctionSpaceTools::integrate<double>(fe_matrix, 00376 transformed_value_of_basis_at_cub_points_cell, 00377 weighted_transformed_value_of_basis_at_cub_points_cell, 00378 COMP_BLAS); 00380 00382 // Computing stiffness matrices: 00383 // tabulate gradients of basis functions at (reference) cubature points 00384 basis->getValues(grad_of_basis_at_cub_points_cell, cub_points_cell, OPERATOR_GRAD); 00385 00386 // transform gradients of basis functions 00387 FunctionSpaceTools::HGRADtransformGRAD<double>(transformed_grad_of_basis_at_cub_points_cell, 00388 jacobian_inv_cell, 00389 grad_of_basis_at_cub_points_cell); 00390 00391 // multiply with weighted measure 00392 FunctionSpaceTools::multiplyMeasure<double>(weighted_transformed_grad_of_basis_at_cub_points_cell, 00393 weighted_measure_cell, 00394 transformed_grad_of_basis_at_cub_points_cell); 00395 00396 // compute stiffness matrices and sum into fe_matrix 00397 FunctionSpaceTools::integrate<double>(fe_matrix, 00398 transformed_grad_of_basis_at_cub_points_cell, 00399 weighted_transformed_grad_of_basis_at_cub_points_cell, 00400 COMP_BLAS, 00401 true); 00403 00405 // Computing RHS contributions: 00406 // map cell (reference) cubature points to physical space 00407 CellTools<double>::mapToPhysicalFrame(cub_points_cell_physical, cub_points_cell, cell_nodes[pcell], cell); 00408 00409 // evaluate rhs function 00410 rhsFunc(rhs_at_cub_points_cell_physical, cub_points_cell_physical, x_order, y_order); 00411 00412 // compute rhs 00413 FunctionSpaceTools::integrate<double>(rhs_and_soln_vector, 00414 rhs_at_cub_points_cell_physical, 00415 weighted_transformed_value_of_basis_at_cub_points_cell, 00416 COMP_BLAS); 00417 00418 // compute neumann b.c. contributions and adjust rhs 00419 sideCub->getCubature(cub_points_side, cub_weights_side); 00420 for (unsigned i=0; i<numSides; i++) { 00421 // compute geometric cell information 00422 CellTools<double>::mapToReferenceSubcell(cub_points_side_refcell, cub_points_side, sideDim, (int)i, cell); 00423 CellTools<double>::setJacobian(jacobian_side_refcell, cub_points_side_refcell, cell_nodes[pcell], cell); 00424 CellTools<double>::setJacobianDet(jacobian_det_side_refcell, jacobian_side_refcell); 00425 00426 // compute weighted edge measure 00427 FunctionSpaceTools::computeEdgeMeasure<double>(weighted_measure_side_refcell, 00428 jacobian_side_refcell, 00429 cub_weights_side, 00430 i, 00431 cell); 00432 00433 // tabulate values of basis functions at side cubature points, in the reference parent cell domain 00434 basis->getValues(value_of_basis_at_cub_points_side_refcell, cub_points_side_refcell, OPERATOR_VALUE); 00435 // transform 00436 FunctionSpaceTools::HGRADtransformVALUE<double>(transformed_value_of_basis_at_cub_points_side_refcell, 00437 value_of_basis_at_cub_points_side_refcell); 00438 00439 // multiply with weighted measure 00440 FunctionSpaceTools::multiplyMeasure<double>(weighted_transformed_value_of_basis_at_cub_points_side_refcell, 00441 weighted_measure_side_refcell, 00442 transformed_value_of_basis_at_cub_points_side_refcell); 00443 00444 // compute Neumann data 00445 // map side cubature points in reference parent cell domain to physical space 00446 CellTools<double>::mapToPhysicalFrame(cub_points_side_physical, cub_points_side_refcell, cell_nodes[pcell], cell); 00447 // now compute data 00448 neumann(neumann_data_at_cub_points_side_physical, cub_points_side_physical, jacobian_side_refcell, 00449 cell, (int)i, x_order, y_order); 00450 00451 FunctionSpaceTools::integrate<double>(neumann_fields_per_side, 00452 neumann_data_at_cub_points_side_physical, 00453 weighted_transformed_value_of_basis_at_cub_points_side_refcell, 00454 COMP_BLAS); 00455 00456 // adjust RHS 00457 RealSpaceTools<double>::add(rhs_and_soln_vector, neumann_fields_per_side);; 00458 } 00460 00462 // Solution of linear system: 00463 int info = 0; 00464 Teuchos::LAPACK<int, double> solver; 00465 solver.GESV(numFields, 1, &fe_matrix[0], numFields, &ipiv(0), &rhs_and_soln_vector[0], numFields, &info); 00467 00469 // Building interpolant: 00470 // evaluate basis at interpolation points 00471 basis->getValues(value_of_basis_at_interp_points, interp_points_ref, OPERATOR_VALUE); 00472 // transform values of basis functions 00473 FunctionSpaceTools::HGRADtransformVALUE<double>(transformed_value_of_basis_at_interp_points, 00474 value_of_basis_at_interp_points); 00475 FunctionSpaceTools::evaluate<double>(interpolant, rhs_and_soln_vector, transformed_value_of_basis_at_interp_points); 00477 00478 /******************* END COMPUTATION ***********************/ 00479 00480 RealSpaceTools<double>::subtract(interpolant, exact_solution); 00481 00482 *outStream << "\nRelative norm-2 error between exact solution polynomial of order (" 00483 << x_order << ", " << y_order << ") and finite element interpolant of order " << basis_order << ": " 00484 << RealSpaceTools<double>::vectorNorm(&interpolant[0], interpolant.dimension(1), NORM_TWO) / 00485 RealSpaceTools<double>::vectorNorm(&exact_solution[0], exact_solution.dimension(1), NORM_TWO) << "\n"; 00486 00487 if (RealSpaceTools<double>::vectorNorm(&interpolant[0], interpolant.dimension(1), NORM_TWO) / 00488 RealSpaceTools<double>::vectorNorm(&exact_solution[0], exact_solution.dimension(1), NORM_TWO) > zero) { 00489 *outStream << "\n\nPatch test failed for solution polynomial order (" 00490 << x_order << ", " << y_order << ") and basis order " << basis_order << "\n\n"; 00491 errorFlag++; 00492 } 00493 } // end for y_order 00494 } // end for x_order 00495 } // end for pcell 00496 00497 } 00498 // Catch unexpected errors 00499 catch (std::logic_error err) { 00500 *outStream << err.what() << "\n\n"; 00501 errorFlag = -1000; 00502 }; 00503 00504 if (errorFlag != 0) 00505 std::cout << "End Result: TEST FAILED\n"; 00506 else 00507 std::cout << "End Result: TEST PASSED\n"; 00508 00509 // reset format state of std::cout 00510 std::cout.copyfmt(oldFormatState); 00511 00512 return errorFlag; 00513 }
1.7.6.1