Compare commits
| Author | SHA1 | Date | |
|---|---|---|---|
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6c62756b28 | ||
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96e9dc09a6 | ||
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52ccc6d980 | ||
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eef5786aa8 | ||
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017460d517 |
+16
-28
@@ -23,8 +23,6 @@ int main(int argc, char *argv[])
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int mesh_type = 4; // Default to Quadrilateral mesh
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int ref_levels = 0;
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bool static_cond = false;
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bool pa = false;
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const char *device_config = "cpu";
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bool visualization = true;
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OptionsParser args(argc, argv);
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@@ -37,10 +35,6 @@ int main(int argc, char *argv[])
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" isoparametric space.");
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args.AddOption(&static_cond, "-sc", "--static-condensation", "-no-sc",
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"--no-static-condensation", "Enable static condensation.");
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args.AddOption(&pa, "-pa", "--partial-assembly", "-no-pa",
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"--no-partial-assembly", "Enable Partial Assembly.");
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args.AddOption(&device_config, "-d", "--device",
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"Device configuration string, see Device::Configure().");
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args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
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"--no-visualization",
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"Enable or disable GLVis visualization.");
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@@ -52,18 +46,13 @@ int main(int argc, char *argv[])
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}
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args.PrintOptions(cout);
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// 2. Enable hardware devices such as GPUs, and programming models such as
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// CUDA, OCCA, RAJA and OpenMP based on command line options.
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Device device(device_config);
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device.Print();
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// 3. Read the mesh from the given mesh file. We can handle triangular,
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// 2. Read the mesh from the given mesh file. We can handle triangular,
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// quadrilateral, tetrahedral, hexahedral, surface and volume meshes with
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// the same code.
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Mesh *mesh = GetMesh(mesh_type);
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int dim = mesh->Dimension();
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// 4. Refine the mesh to increase the resolution. In this example we do
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// 3. Refine the mesh to increase the resolution. In this example we do
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// 'ref_levels' of uniform refinement.
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for (int l = 0; l < ref_levels; l++)
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{
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@@ -73,7 +62,7 @@ int main(int argc, char *argv[])
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mesh->SetCurvature(3);
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mesh->Transform(trans);
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// 5. Define a finite element space on the mesh. Here we use continuous
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// 4. Define a finite element space on the mesh. Here we use continuous
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// Lagrange finite elements of the specified order. If order < 1, we
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// instead use an isoparametric/isogeometric space.
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FiniteElementCollection *fec;
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@@ -98,7 +87,7 @@ int main(int argc, char *argv[])
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cout << "Number of finite element unknowns: "
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<< fespace.GetTrueVSize() << endl;
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// 6. Determine the list of true (i.e. conforming) essential boundary dofs.
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// 5. Determine the list of true (i.e. conforming) essential boundary dofs.
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// In this example, the boundary conditions are defined by marking all
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// the boundary attributes from the mesh as essential (Dirichlet) and
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// converting them to a list of true dofs.
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@@ -110,7 +99,7 @@ int main(int argc, char *argv[])
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fespace.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
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}
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// 7. Set up the linear form b(.) which corresponds to the right-hand side of
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// 6. Set up the linear form b(.) which corresponds to the right-hand side of
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// the FEM linear system, which in this case is (1,phi_i) where phi_i are
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// the basis functions in the finite element fespace.
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LinearForm b(&fespace);
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@@ -118,24 +107,23 @@ int main(int argc, char *argv[])
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b.AddDomainIntegrator(new DomainLFIntegrator(one));
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b.Assemble();
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// 8. Define the solution vector x as a finite element grid function
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// 7. Define the solution vector x as a finite element grid function
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// corresponding to fespace. Initialize x with initial guess of zero,
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// which satisfies the boundary conditions.
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GridFunction x(&fespace);
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x = 0.0;
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// 9. Set up the bilinear form a(.,.) on the finite element space
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// 8. Set up the bilinear form a(.,.) on the finite element space
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// corresponding to the Laplacian operator -Delta, by adding the Diffusion
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// domain integrator.
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BilinearForm a(&fespace);
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MatrixFunctionCoefficient sigma(3, sigmaFunc);
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if (pa) { a.SetAssemblyLevel(AssemblyLevel::PARTIAL); }
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a.AddDomainIntegrator(new DiffusionIntegrator(sigma));
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// 10. Assemble the bilinear form and the corresponding linear system,
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// applying any necessary transformations such as: eliminating boundary
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// conditions, applying conforming constraints for non-conforming AMR,
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// static condensation, etc.
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// 9. Assemble the bilinear form and the corresponding linear system,
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// applying any necessary transformations such as: eliminating boundary
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// conditions, applying conforming constraints for non-conforming AMR,
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// static condensation, etc.
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if (static_cond) { a.EnableStaticCondensation(); }
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a.Assemble();
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@@ -145,7 +133,7 @@ int main(int argc, char *argv[])
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cout << "Size of linear system: " << A->Height() << endl;
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// 11. Solve the linear system A X = B.
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// 10. Solve the linear system A X = B.
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if (!pa)
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{
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// Use a simple symmetric Gauss-Seidel preconditioner with PCG.
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@@ -165,7 +153,7 @@ int main(int argc, char *argv[])
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}
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}
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// 12. Recover the solution as a finite element grid function.
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// 11. Recover the solution as a finite element grid function.
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a.RecoverFEMSolution(X, b, x);
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FunctionCoefficient uCoef(uExact);
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@@ -173,7 +161,7 @@ int main(int argc, char *argv[])
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mfem::out << "|u - u_h|_2 = " << err << endl;
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// 13. Save the refined mesh and the solution. This output can be viewed later
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// 12. Save the refined mesh and the solution. This output can be viewed later
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// using GLVis: "glvis -m refined.mesh -g sol.gf".
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ofstream mesh_ofs("refined.mesh");
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mesh_ofs.precision(8);
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@@ -182,7 +170,7 @@ int main(int argc, char *argv[])
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sol_ofs.precision(8);
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x.Save(sol_ofs);
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// 14. Send the solution by socket to a GLVis server.
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// 13. Send the solution by socket to a GLVis server.
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if (visualization)
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{
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char vishost[] = "localhost";
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@@ -192,7 +180,7 @@ int main(int argc, char *argv[])
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sol_sock << "solution\n" << *mesh << x << flush;
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}
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// 15. Free the used memory.
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// 14. Free the used memory.
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if (delete_fec)
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{
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delete fec;
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+107
-39
@@ -552,20 +552,33 @@ void DiffusionIntegrator::AssembleElementMatrix
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bool square = (dim == spaceDim);
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double w;
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if (VQ)
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{
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MFEM_VERIFY(VQ->GetVDim() == spaceDim,
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"Unexpected dimension for VectorCoefficient");
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}
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if (MQ)
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{
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MFEM_VERIFY(MQ->GetWidth() == spaceDim,
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"Unexpected width for MatrixCoefficient");
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MFEM_VERIFY(MQ->GetHeight() == spaceDim,
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"Unexpected height for MatrixCoefficient");
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}
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#ifdef MFEM_THREAD_SAFE
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DenseMatrix dshape(nd, dim), dshapedxt(nd, spaceDim);
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DenseMatrix invdfdx(spaceDim, spaceDim);
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DenseMatrix dshapedxt_m(nd, MQ ? spaceDim : 0);
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Vector D(VQ ? VQ->GetVDim() : 0);
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#else
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dshape.SetSize(nd, dim);
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dshapedxt.SetSize(nd, spaceDim);
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invdfdx.SetSize(spaceDim, spaceDim);
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dshapedxt_m.SetSize(nd, MQ ? spaceDim : 0);
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M.SetSize(MQ ? spaceDim : 0);
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D.SetSize(VQ ? VQ->GetVDim() : 0);
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#endif
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elmat.SetSize(nd);
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const IntegrationRule *ir = IntRule ? IntRule : &GetRule(el, el);
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DenseMatrix dshapedxt_m(nd, spaceDim);
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elmat = 0.0;
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for (int i = 0; i < ir->GetNPoints(); i++)
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@@ -581,9 +594,9 @@ void DiffusionIntegrator::AssembleElementMatrix
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Mult(dshape, Trans.AdjugateJacobian(), dshapedxt);
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if (MQ)
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{
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MQ->Eval(invdfdx, Trans, ip);
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invdfdx *= w;
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Mult(dshapedxt, invdfdx, dshapedxt_m);
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MQ->Eval(M, Trans, ip);
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M *= w;
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Mult(dshapedxt, M, dshapedxt_m);
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AddMultABt(dshapedxt_m, dshapedxt, elmat);
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}
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else if (VQ)
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@@ -614,23 +627,39 @@ void DiffusionIntegrator::AssembleElementMatrix2(
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bool square = (dim == spaceDim);
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double w;
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if (VQ)
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{
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MFEM_VERIFY(VQ->GetVDim() == spaceDim,
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"Unexpected dimension for VectorCoefficient");
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}
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if (MQ)
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{
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MFEM_VERIFY(MQ->GetWidth() == spaceDim,
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"Unexpected width for MatrixCoefficient");
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MFEM_VERIFY(MQ->GetHeight() == spaceDim,
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"Unexpected height for MatrixCoefficient");
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}
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#ifdef MFEM_THREAD_SAFE
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DenseMatrix dshape(tr_nd, dim), dshapedxt(tr_nd, spaceDim);
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DenseMatrix te_dshape(te_nd, dim), te_dshapedxt(te_nd, spaceDim);
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DenseMatrix invdfdx(spaceDim, spaceDim);
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DenseMatrix invdfdx(dim, spaceDim);
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DenseMatrix dshapedxt_m(te_nd, MQ ? spaceDim : 0);
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DenseMatrix M(MQ ? spaceDim : 0);
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Vector D(VQ ? VQ->GetVDim() : 0);
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#else
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dshape.SetSize(tr_nd, dim);
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dshapedxt.SetSize(tr_nd, spaceDim);
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te_dshape.SetSize(te_nd, dim);
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te_dshapedxt.SetSize(te_nd, spaceDim);
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invdfdx.SetSize(spaceDim, spaceDim);
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invdfdx.SetSize(dim, spaceDim);
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dshapedxt_m.SetSize(te_nd, MQ ? spaceDim : 0);
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M.SetSize(MQ ? spaceDim : 0);
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D.SetSize(VQ ? VQ->GetVDim() : 0);
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#endif
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elmat.SetSize(te_nd, tr_nd);
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const IntegrationRule *ir = IntRule ? IntRule : &GetRule(trial_fe, test_fe);
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DenseMatrix te_dshapedxt_m(te_nd, spaceDim);
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elmat = 0.0;
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for (int i = 0; i < ir->GetNPoints(); i++)
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@@ -648,10 +677,10 @@ void DiffusionIntegrator::AssembleElementMatrix2(
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// invdfdx, dshape, and te_dshape no longer needed
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if (MQ)
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{
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MQ->Eval(invdfdx, Trans, ip);
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invdfdx *= w;
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Mult(te_dshapedxt, invdfdx, te_dshapedxt_m);
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AddMultABt(te_dshapedxt_m, dshapedxt, elmat);
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MQ->Eval(M, Trans, ip);
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M *= w;
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Mult(te_dshapedxt, M, dshapedxt_m);
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AddMultABt(dshapedxt_m, dshapedxt, elmat);
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}
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else if (VQ)
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{
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@@ -677,24 +706,34 @@ void DiffusionIntegrator::AssembleElementVector(
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{
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int nd = el.GetDof();
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int dim = el.GetDim();
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int spaceDim = Tr.GetSpaceDim();
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double w;
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if (VQ)
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{
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MFEM_VERIFY(VQ->GetVDim() == dim, "Unexpected dimension for VectorCoefficient");
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MFEM_VERIFY(VQ->GetVDim() == spaceDim,
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"Unexpected dimension for VectorCoefficient");
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}
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if (MQ)
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{
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MFEM_VERIFY(MQ->GetWidth() == spaceDim,
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"Unexpected width for MatrixCoefficient");
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MFEM_VERIFY(MQ->GetHeight() == spaceDim,
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"Unexpected height for MatrixCoefficient");
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}
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#ifdef MFEM_THREAD_SAFE
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DenseMatrix dshape(nd,dim), invdfdx(dim), mq(dim);
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DenseMatrix dshape(nd,dim), invdfdx(dim, spaceDim), M(MQ ? spaceDim : 0);
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Vector D(VQ ? VQ->GetVDim() : 0);
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#else
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dshape.SetSize(nd,dim);
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invdfdx.SetSize(dim);
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mq.SetSize(dim);
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invdfdx.SetSize(dim, spaceDim);
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M.SetSize(MQ ? spaceDim : 0);
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D.SetSize(VQ ? VQ->GetVDim() : 0);
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#endif
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vec.SetSize(dim);
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pointflux.SetSize(dim);
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vecdxt.SetSize((VQ || MQ) ? spaceDim : 0);
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pointflux.SetSize(spaceDim);
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elvect.SetSize(nd);
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@@ -721,19 +760,19 @@ void DiffusionIntegrator::AssembleElementVector(
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}
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else
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{
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dshape.MultTranspose(elfun, pointflux);
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invdfdx.MultTranspose(pointflux, vec);
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dshape.MultTranspose(elfun, vec);
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invdfdx.MultTranspose(vec, vecdxt);
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if (MQ)
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{
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MQ->Eval(mq, Tr, ip);
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mq.Mult(vec, pointflux);
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MQ->Eval(M, Tr, ip);
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M.Mult(vecdxt, pointflux);
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}
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else
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{
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VQ->Eval(D, Tr, ip);
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for (int j=0; j<dim; ++j)
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for (int j=0; j<spaceDim; ++j)
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{
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pointflux[j] *= D[j];
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pointflux[j] = D[j] * vecdxt[j];
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}
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}
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}
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@@ -753,14 +792,32 @@ void DiffusionIntegrator::ComputeElementFlux
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dim = el.GetDim();
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spaceDim = Trans.GetSpaceDim();
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if (VQ)
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{
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MFEM_VERIFY(VQ->GetVDim() == spaceDim,
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"Unexpected dimension for VectorCoefficient");
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}
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if (MQ)
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{
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MFEM_VERIFY(MQ->GetWidth() == spaceDim,
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"Unexpected width for MatrixCoefficient");
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MFEM_VERIFY(MQ->GetHeight() == spaceDim,
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"Unexpected height for MatrixCoefficient");
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}
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#ifdef MFEM_THREAD_SAFE
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DenseMatrix dshape(nd,dim), invdfdx(dim, spaceDim);
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DenseMatrix M(MQ ? spaceDim : 0);
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Vector D(VQ ? VQ->GetVDim() : 0);
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#else
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dshape.SetSize(nd,dim);
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invdfdx.SetSize(dim, spaceDim);
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M.SetSize(MQ ? spaceDim : 0);
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D.SetSize(VQ ? VQ->GetVDim() : 0);
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#endif
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vec.SetSize(dim);
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pointflux.SetSize(spaceDim);
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vecdxt.SetSize(spaceDim);
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pointflux.SetSize(MQ ? spaceDim : 0);
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const IntegrationRule &ir = fluxelem.GetNodes();
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fnd = ir.GetNPoints();
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@@ -774,28 +831,38 @@ void DiffusionIntegrator::ComputeElementFlux
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Trans.SetIntPoint (&ip);
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CalcInverse(Trans.Jacobian(), invdfdx);
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invdfdx.MultTranspose(vec, pointflux);
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invdfdx.MultTranspose(vec, vecdxt);
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|
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if (!MQ)
|
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if (!MQ && !VQ)
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{
|
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if (Q && with_coef)
|
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{
|
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pointflux *= Q->Eval(Trans,ip);
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vecdxt *= Q->Eval(Trans,ip);
|
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}
|
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for (j = 0; j < spaceDim; j++)
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{
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flux(fnd*j+i) = pointflux(j);
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flux(fnd*j+i) = vecdxt(j);
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}
|
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}
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else
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{
|
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// assuming dim == spaceDim
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MFEM_ASSERT(dim == spaceDim, "TODO");
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MQ->Eval(invdfdx, Trans, ip);
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invdfdx.Mult(pointflux, vec);
|
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if (MQ)
|
||||
{
|
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MQ->Eval(M, Trans, ip);
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M.Mult(vecdxt, pointflux);
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}
|
||||
else
|
||||
{
|
||||
VQ->Eval(D, Trans, ip);
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for (int j=0; j<spaceDim; ++j)
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{
|
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pointflux[j] = D[j] * vecdxt[j];
|
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}
|
||||
|
||||
}
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for (j = 0; j < dim; j++)
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{
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flux(fnd*j+i) = vec(j);
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flux(fnd*j+i) = pointflux(j);
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}
|
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}
|
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}
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@@ -810,13 +877,13 @@ double DiffusionIntegrator::ComputeFluxEnergy
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int spaceDim = Trans.GetSpaceDim();
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|
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#ifdef MFEM_THREAD_SAFE
|
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DenseMatrix mq;
|
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DenseMatrix M;
|
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#endif
|
||||
|
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shape.SetSize(nd);
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pointflux.SetSize(spaceDim);
|
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if (d_energy) { vec.SetSize(dim); }
|
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if (MQ) { mq.SetSize(dim); }
|
||||
if (d_energy) { vec.SetSize(spaceDim); }
|
||||
if (MQ) { M.SetSize(spaceDim); }
|
||||
|
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int order = 2 * fluxelem.GetOrder(); // <--
|
||||
const IntegrationRule *ir = &IntRules.Get(fluxelem.GetGeomType(), order);
|
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@@ -849,8 +916,9 @@ double DiffusionIntegrator::ComputeFluxEnergy
|
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}
|
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else
|
||||
{
|
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MQ->Eval(mq, Trans, ip);
|
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energy += w * mq.InnerProduct(pointflux, pointflux);
|
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MFEM_ASSERT(dim == spaceDim, "TODO");
|
||||
MQ->Eval(M, Trans, ip);
|
||||
energy += w * M.InnerProduct(pointflux, pointflux);
|
||||
}
|
||||
|
||||
if (d_energy)
|
||||
|
||||
+2
-2
@@ -1902,9 +1902,9 @@ protected:
|
||||
MatrixCoefficient *MQ;
|
||||
|
||||
private:
|
||||
Vector vec, pointflux, shape;
|
||||
Vector vec, vecdxt, pointflux, shape;
|
||||
#ifndef MFEM_THREAD_SAFE
|
||||
DenseMatrix dshape, dshapedxt, invdfdx, mq;
|
||||
DenseMatrix dshape, dshapedxt, invdfdx, M, dshapedxt_m;
|
||||
DenseMatrix te_dshape, te_dshapedxt;
|
||||
Vector D;
|
||||
#endif
|
||||
|
||||
@@ -656,6 +656,7 @@ double TMOP_Metric_315::EvalW(const DenseMatrix &Jpt) const
|
||||
ie.SetJacobian(Jpt.GetData());
|
||||
const double c1 = ie.Get_I3b() - 1.0;
|
||||
return c1*c1;
|
||||
//return c1*c1*c1*c1*c1*c1;
|
||||
}
|
||||
|
||||
void TMOP_Metric_315::EvalP(const DenseMatrix &Jpt, DenseMatrix &P) const
|
||||
@@ -664,6 +665,7 @@ void TMOP_Metric_315::EvalP(const DenseMatrix &Jpt, DenseMatrix &P) const
|
||||
// P = 2*(I3b - 1)*dI3b
|
||||
ie.SetJacobian(Jpt.GetData());
|
||||
P.Set(2*(ie.Get_I3b() - 1.0), ie.Get_dI3b());
|
||||
//P.Set(6*(ie.Get_I3b() - 1.0), ie.Get_dI3b());
|
||||
}
|
||||
|
||||
void TMOP_Metric_315::AssembleH(const DenseMatrix &Jpt,
|
||||
@@ -677,6 +679,9 @@ void TMOP_Metric_315::AssembleH(const DenseMatrix &Jpt,
|
||||
ie.SetDerivativeMatrix(DS.Height(), DS.GetData());
|
||||
ie.Assemble_TProd(2*weight, ie.Get_dI3b(), A.GetData());
|
||||
ie.Assemble_ddI3b(2*weight*(ie.Get_I3b() - 1.0), A.GetData());
|
||||
//ie.Assemble_TProd(6*weight, ie.Get_dI3b(), A.GetData());
|
||||
//ie.Assemble_ddI3b(6*weight*(ie.Get_I3b() - 1.0), A.GetData());
|
||||
|
||||
}
|
||||
|
||||
double TMOP_Metric_316::EvalW(const DenseMatrix &Jpt) const
|
||||
|
||||
+10
-1
@@ -197,10 +197,19 @@ void SerialAdvectorCGOper::Mult(const Vector &ind, Vector &di_dt) const
|
||||
di_dt = 0.0;
|
||||
CGSolver lin_solver;
|
||||
DSmoother prec;
|
||||
/*
|
||||
FGMRESSolver lin_solver;
|
||||
GMRESSolver prec;
|
||||
prec.SetMaxIter(50);
|
||||
prec.SetRelTol(0.0);
|
||||
prec.SetAbsTol(0.0);
|
||||
prec.SetOperator(M.SpMat());
|
||||
*/
|
||||
|
||||
lin_solver.SetPreconditioner(prec);
|
||||
lin_solver.SetOperator(M.SpMat());
|
||||
lin_solver.SetRelTol(1e-12); lin_solver.SetAbsTol(0.0);
|
||||
lin_solver.SetMaxIter(100);
|
||||
lin_solver.SetMaxIter(200);
|
||||
lin_solver.SetPrintLevel(0);
|
||||
lin_solver.Mult(rhs, di_dt);
|
||||
}
|
||||
|
||||
+2
-2
@@ -2497,13 +2497,13 @@ void MultADBt(const DenseMatrix &A, const Vector &D,
|
||||
|
||||
void AddMultABt(const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &ABt)
|
||||
{
|
||||
#ifdef MFEM_DEBUG
|
||||
#ifdef MFEM_DEBUG
|
||||
if (A.Height() != ABt.Height() || B.Height() != ABt.Width() ||
|
||||
A.Width() != B.Width())
|
||||
{
|
||||
mfem_error("AddMultABt(...): dimension mismatch");
|
||||
}
|
||||
#endif
|
||||
#endif
|
||||
|
||||
#ifdef MFEM_USE_LAPACK
|
||||
static char transa = 'N', transb = 'T';
|
||||
|
||||
@@ -311,7 +311,7 @@ int main(int argc, char *argv[])
|
||||
x0 = x;
|
||||
|
||||
// 11. Form the integrator that uses the chosen metric and target.
|
||||
double tauval = -0.1;
|
||||
double tauval = -0.002;
|
||||
TMOP_QualityMetric *metric = NULL;
|
||||
switch (metric_id)
|
||||
{
|
||||
|
||||
@@ -1,4 +1,4 @@
|
||||
// Copyright (c) 2010-2020, Lawrence Livermore National Security, LLC. Produced
|
||||
// Copyright (c) 2010-2021, Lawrence Livermore National Security, LLC. Produced
|
||||
// at the Lawrence Livermore National Laboratory. All Rights reserved. See files
|
||||
// LICENSE and NOTICE for details. LLNL-CODE-806117.
|
||||
//
|
||||
|
||||
Reference in New Issue
Block a user