Mfem pcg, Dec 11, 2025 · Solve Ax=b with hypre's PCG

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  1. Mfem pcg, hpp. Definition at line 1215 of file hypre. and many more. Example 26: Multigrid Preconditioner This example code demonstrates the use of MFEM to define a simple isoparametric finite element discretization of the Poisson equation $$-\Delta u = 1$$ with homogeneous Dirichlet boundary conditions and how to solve it efficiently using a matrix-free multigrid preconditioner. MFEM comes with a large number of example codes that demonstrate different physical applications, finite element discretizations, and linear solvers: Example 1 solves a Poisson problem, Example 2 solves a linear elasticity problem, Example 3 solves a definite Maxwell (electromagnetics) problem, and Example 4 solves grad-div diffusion problem. Its goal is to enable high-performance scalable finite element discretization research and application development on a wide variety of platforms, ranging from laptops to exascale supercomputers. ~/mfem/examples> mpirun -np 16 ex1p -m . Solving and visualizing the Laplace equation MFEM Example 1 Adapted from PyMFEM/ex1. Definition at line 4258 of file hypre. Dec 11, 2025 · Solve Ax=b with hypre's PCG. cpp. This example code demonstrates the use of MFEM to define a simple finite element discretization of the Laplace problem. MFEM is a free, lightweight, scalable C++ library for finite element methods. Solve Ax=b with hypre's PCG. Reimplemented from mfem::HypreSolver. py. mesh PCG Iterations = 26 Final PCG Relative Residual Norm = 4. Features Arbitrary high-order finite element meshes and spaces. A github pages site hosting hands-on lessons in the use, design and development of scientific computing software packages View on GitHub Finite Elements and Convergence with MFEM At a Glance Dec 11, 2025 · LOBPCG eigenvalue solver in hypre The Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) eigenvalue solver is designed to find the lowest eigenmodes of the generalized eigenvalue problem: A x = lambda M x where A is symmetric, potentially indefinite and M is symmetric positive definite. Compare with the original Example 1 in MFEM. •For building instructions, see the file INSTALL, or type "make help". Do you think the method StaticCondensation can do the job Jan 18, 2019 · Forgot to mention that hypre 's PCG implementation does support measuring the convergence in l2 norm, which is useful when comparing different preconditioners. In MFEM this is available via HyprePCG::SetResidualConvergenceOptions. Scalable from laptops to GPU-accelerated supercomputers. /data/square-disc. 30922 e- 13 If a GLVis server is running, the computed finite element solution combined from all processors, will appear in an interactive window: You can examine the solution using the mouse and the GLVis command keystrokes. The eigenvectors are M-orthonormal, meaning that x^T M x = 1 and x^T M y = 0, if x and y are Detailed Description PCG solver in hypre. Definition at line 4184 of file hypre. Conforming and nonconforming adaptive mesh refinement. Mar 14, 2023 · Here, however, I do not want to assemble the schur complement explicitly, but, only need to apply matrix vector applications in the PCG iteration. Wide variety of finite element discretization approaches. .


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