#include #include #include using namespace std; using namespace mfem; int main(int argc, char *argv[]) { // 1. Parse command-line options. const char *spec = "cpu"; const char *mesh_file = "../data/star.mesh"; int order = 1; bool static_cond = false; bool visualization = 1; OptionsParser args(argc, argv); args.AddOption(&spec, "-s", "--spec", "Compute resurce specification."); args.AddOption(&mesh_file, "-m", "--mesh", "Mesh file to use."); args.AddOption(&order, "-o", "--order", "Finite element order (polynomial degree) or -1 for" " isoparametric space."); args.AddOption(&static_cond, "-sc", "--static-condensation", "-no-sc", "--no-static-condensation", "Enable static condensation."); args.AddOption(&visualization, "-vis", "--visualization", "-no-vis", "--no-visualization", "Enable or disable GLVis visualization."); args.Parse(); if (!args.Good()) { args.PrintUsage(cout); return 1; } args.PrintOptions(cout); /// Engine *engine = EngineDepot.Select(spec); // string occa_spec("mode: 'Serial'"); // string occa_spec("mode: 'CUDA', deviceID: 0"); // string occa_spec("mode: 'OpenMP', threads: 4"); // string occa_spec("mode: 'OpenCL', deviceID: 0, platformID: 0"); //SharedPtr engine(new mfem::occa::Engine("mode: 'Serial'")); dbg("engine"); SharedPtr engine(new mfem::raja::Engine("cpu")); // 2. Read the mesh from the given mesh file. We can handle triangular, // quadrilateral, tetrahedral, hexahedral, surface and volume meshes with // the same code. dbg("mesh"); Mesh *mesh = new Mesh(mesh_file, 1, 1); dbg("SetEngine"); mesh->SetEngine(*engine); int dim = mesh->Dimension(); // 3. Refine the mesh to increase the resolution. In this example we do // 'ref_levels' of uniform refinement. We choose 'ref_levels' to be the // largest number that gives a final mesh with no more than 50,000 // elements. { int ref_levels = (int)floor(log(50000./mesh->GetNE())/log(2.)/dim); for (int l = 0; l < ref_levels; l++) { mesh->UniformRefinement(); } } // 4. Define a finite element space on the mesh. Here we use continuous // Lagrange finite elements of the specified order. If order < 1, we // instead use an isoparametric/isogeometric space. dbg("FiniteElementCollection"); FiniteElementCollection *fec; if (order > 0) { fec = new H1_FECollection(order, dim); } else if (mesh->GetNodes()) { fec = mesh->GetNodes()->OwnFEC(); cout << "Using isoparametric FEs: " << fec->Name() << endl; } else { fec = new H1_FECollection(order = 1, dim); } dbg("FiniteElementSpace"); FiniteElementSpace *fespace = new FiniteElementSpace(mesh, fec); cout << "Number of finite element unknowns: " << fespace->GetTrueVSize() << endl; // 5. Determine the list of true (i.e. conforming) essential boundary dofs. // In this example, the boundary conditions are defined by marking all // the boundary attributes from the mesh as essential (Dirichlet) and // converting them to a list of true dofs. Array ess_tdof_list; if (mesh->bdr_attributes.Size()) { Array ess_bdr(mesh->bdr_attributes.Max()); ess_bdr = 1; fespace->GetEssentialTrueDofs(ess_bdr, ess_tdof_list); } // 6. Set up the linear form b(.) which corresponds to the right-hand side of // the FEM linear system, which in this case is (1,phi_i) where phi_i are // the basis functions in the finite element fespace. LinearForm *b = new LinearForm(fespace); dbg("ConstantCoefficient"); ConstantCoefficient one(1.0); b->AddDomainIntegrator(new DomainLFIntegrator(one)); b->Assemble(); // 7. Define the solution vector x as a finite element grid function // corresponding to fespace. Initialize x with initial guess of zero, // which satisfies the boundary conditions. dbg("GridFunction"); GridFunction x(fespace); dbg("Fill"); x.Fill(0.0); // 8. Set up the bilinear form a(.,.) on the finite element space // corresponding to the Laplacian operator -Delta, by adding the Diffusion // domain integrator. dbg("BilinearForm"); BilinearForm *a = new BilinearForm(fespace); dbg("DiffusionIntegrator"); a->AddDomainIntegrator(new DiffusionIntegrator(one)); // 9. Assemble the bilinear form and the corresponding linear system, // applying any necessary transformations such as: eliminating boundary // conditions, applying conforming constraints for non-conforming AMR, // static condensation, etc. if (static_cond) { a->EnableStaticCondensation(); } dbg("Assemble"); a->Assemble(); OperatorHandle A(Operator::ANY_TYPE); Vector B, X; dbg("FormLinearSystem"); a->FormLinearSystem(ess_tdof_list, x, *b, A, X, B); cout << "Size of linear system: " << A.Ptr()->Height() << endl; // 10. Solve the system A X = B with CG. CG(*A.Ptr(), B, X, 1, 200, 1e-12, 0.0); // 11. Recover the solution as a finite element grid function. a->RecoverFEMSolution(X, *b, x); x.Pull(); // 12. Save the refined mesh and the solution. This output can be viewed // later using GLVis: "glvis -m refined.mesh -g sol.gf". ofstream mesh_ofs("refined.mesh"); mesh_ofs.precision(8); mesh->Print(mesh_ofs); ofstream sol_ofs("sol.gf"); sol_ofs.precision(8); x.Save(sol_ofs); // 13. Send the solution by socket to a GLVis server. if (visualization) { char vishost[] = "localhost"; int visport = 19916; socketstream sol_sock(vishost, visport); sol_sock.precision(8); sol_sock << "solution\n" << *mesh << x << flush; } // 14. Free the used memory. delete a; delete b; delete fespace; if (order > 0) { delete fec; } delete mesh; return 0; }