// MFEM Example 1 // Caliper Modification // // Compile with: make ex1 // // Sample runs: ex1 -m ../data/square-disc.mesh // ex1 -m ../data/star.mesh // ex1 -m ../data/star-mixed.mesh // ex1 -m ../data/escher.mesh // ex1 -m ../data/fichera.mesh // ex1 -m ../data/fichera-mixed.mesh // ex1 -m ../data/toroid-wedge.mesh // ex1 -m ../data/periodic-annulus-sector.msh // ex1 -m ../data/periodic-torus-sector.msh // ex1 -m ../data/square-disc-p2.vtk -o 2 // ex1 -m ../data/square-disc-p3.mesh -o 3 // ex1 -m ../data/square-disc-nurbs.mesh -o -1 // ex1 -m ../data/star-mixed-p2.mesh -o 2 // ex1 -m ../data/disc-nurbs.mesh -o -1 // ex1 -m ../data/pipe-nurbs.mesh -o -1 // ex1 -m ../data/fichera-mixed-p2.mesh -o 2 // ex1 -m ../data/star-surf.mesh // ex1 -m ../data/square-disc-surf.mesh // ex1 -m ../data/inline-segment.mesh // ex1 -m ../data/amr-quad.mesh // ex1 -m ../data/amr-hex.mesh // ex1 -m ../data/fichera-amr.mesh // ex1 -m ../data/mobius-strip.mesh // ex1 -m ../data/mobius-strip.mesh -o -1 -sc // // Device sample runs: // ex1 -pa -d cuda // ex1 -pa -d raja-cuda // ex1 -pa -d occa-cuda // ex1 -pa -d raja-omp // ex1 -pa -d occa-omp // ex1 -pa -d ceed-cpu // * ex1 -pa -d ceed-cuda // ex1 -pa -d ceed-cuda:/gpu/cuda/shared // ex1 -m ../data/beam-hex.mesh -pa -d cuda // ex1 -m ../data/beam-tet.mesh -pa -d ceed-cpu // ex1 -m ../data/beam-tet.mesh -pa -d ceed-cuda:/gpu/cuda/ref // // Description: This example is a copy of Example 1 instrumented with the // Caliper performance profilinh library. Any option supported by // the Caliper ConfigManager can be passed to the code using a // configuration string after -p or --caliper flag. For more // information, see the Caliper documentation. // // Examples: ex1 --caliper runtime-report // ex1 --caliper runtime-report,mem.highwatermark // // The first run will return the default report. The second run will also output // the memory high-water mark and time spent in MPI routines. #include "mfem.hpp" #include #include using namespace std; using namespace mfem; int main(int argc, char *argv[]) { // Define Caliper ConfigManager cali::ConfigManager mgr; // Caliper instrumentation MFEM_PERF_FUNCTION; // 1. Parse command-line options. const char *mesh_file = "../../data/star.mesh"; int order = 1; bool static_cond = false; bool pa = false; const char *device_config = "cpu"; bool visualization = true; const char* cali_config = "runtime-report"; OptionsParser args(argc, argv); 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(&pa, "-pa", "--partial-assembly", "-no-pa", "--no-partial-assembly", "Enable Partial Assembly."); args.AddOption(&device_config, "-d", "--device", "Device configuration string, see Device::Configure()."); args.AddOption(&visualization, "-vis", "--visualization", "-no-vis", "--no-visualization", "Enable or disable GLVis visualization."); args.AddOption(&cali_config, "-p", "--caliper", "Caliper configuration string."); args.Parse(); if (!args.Good()) { args.PrintUsage(cout); return 1; } args.PrintOptions(cout); // 2. Enable hardware devices such as GPUs, and programming models such as // CUDA, OCCA, RAJA and OpenMP based on command line options. Device device(device_config); device.Print(); // Caliper configuration mgr.add(cali_config); mgr.start(); // 3. Read the mesh from the given mesh file. We can handle triangular, // quadrilateral, tetrahedral, hexahedral, surface and volume meshes with // the same code. Mesh mesh(mesh_file, 1, 1); int dim = mesh.Dimension(); // 4. 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(); } } // 5. 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. FiniteElementCollection *fec; bool delete_fec; if (order > 0) { fec = new H1_FECollection(order, dim); delete_fec = true; } else if (mesh.GetNodes()) { fec = mesh.GetNodes()->OwnFEC(); delete_fec = false; cout << "Using isoparametric FEs: " << fec->Name() << endl; } else { fec = new H1_FECollection(order = 1, dim); delete_fec = true; } FiniteElementSpace fespace(&mesh, fec); cout << "Number of finite element unknowns: " << fespace.GetTrueVSize() << endl; // 6. 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); } // 7. 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. MFEM_PERF_BEGIN("Set up the linear form"); LinearForm b(&fespace); ConstantCoefficient one(1.0); b.AddDomainIntegrator(new DomainLFIntegrator(one)); b.Assemble(); MFEM_PERF_END("Set up the linear form"); // 8. 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. GridFunction x(&fespace); x = 0.0; // 9. Set up the bilinear form a(.,.) on the finite element space // corresponding to the Laplacian operator -Delta, by adding the Diffusion // domain integrator. MFEM_PERF_BEGIN("Set up the bilinear form"); BilinearForm a(&fespace); if (pa) { a.SetAssemblyLevel(AssemblyLevel::PARTIAL); } a.AddDomainIntegrator(new DiffusionIntegrator(one)); // 10. 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(); } a.Assemble(); OperatorPtr A; Vector B, X; a.FormLinearSystem(ess_tdof_list, x, b, A, X, B); MFEM_PERF_END("Set up the bilinear form"); cout << "Size of linear system: " << A->Height() << endl; // 11. Solve the linear system A X = B. if (!pa) { MFEM_PERF_SCOPE("Solve A X=B (FA)"); #ifndef MFEM_USE_SUITESPARSE // Use a simple symmetric Gauss-Seidel preconditioner with PCG. GSSmoother M((SparseMatrix&)(*A)); PCG(*A, M, B, X, 1, 200, 1e-12, 0.0); #else // If MFEM was compiled with SuiteSparse, use UMFPACK to solve the system. UMFPackSolver umf_solver; umf_solver.Control[UMFPACK_ORDERING] = UMFPACK_ORDERING_METIS; umf_solver.SetOperator(*A); umf_solver.Mult(B, X); #endif } else // Jacobi preconditioning in partial assembly mode { MFEM_PERF_SCOPE("Solve A X=B (PA)"); if (UsesTensorBasis(fespace)) { OperatorJacobiSmoother M(a, ess_tdof_list); PCG(*A, M, B, X, 1, 400, 1e-12, 0.0); } else { CG(*A, B, X, 1, 400, 1e-12, 0.0); } } // 12. Recover the solution as a finite element grid function. a.RecoverFEMSolution(X, b, x); // 13. Save the refined mesh and the solution. This output can be viewed later // using GLVis: "glvis -m refined.mesh -g sol.gf". MFEM_PERF_BEGIN("Save the results"); 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); MFEM_PERF_END("Save the results"); // 14. 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; } // 15. Free the used memory. if (delete_fec) { delete fec; } // Flush output mgr.flush(); return 0; }