Main mesh classes

Main finite element classes

Main linear algebra classes and sources

Main parallel classes

Main GPU classes

Example codes

Example 0: simplest example, nodal H1 FEM for the Laplace problem
Example 0p: simplest parallel example, nodal H1 FEM for the Laplace problem
Example 1: nodal H1 FEM for the Laplace problem (same discretization as ex0 but with more sophisticated options)
Example 1p: parallel nodal H1 FEM for the Laplace problem (same discretization as ex0p but with more sophisticated options)
Example 2: vector FEM for linear elasticity
Example 2p: parallel vector FEM for linear elasticity
Example 3: Nedelec H(curl) FEM for the definite Maxwell problem
Example 3p: parallel Nedelec H(curl) FEM for the definite Maxwell problem
Example 4: Raviart-Thomas H(div) FEM for the grad-div problem
Example 4p: parallel Raviart-Thomas H(div) FEM for the grad-div problem
Example 5: mixed pressure-velocity FEM for the Darcy problem
Example 5p: parallel mixed pressure-velocity FEM for the Darcy problem
Example 6: non-conforming adaptive mesh refinement for the Laplace problem
Example 6p: parallel non-conforming adaptive mesh refinement for the Laplace problem
Example 7: Laplace problem on a surface (the unit sphere)
Example 7p: parallel Laplace problem on a surface (the unit sphere)
Example 8: Discontinuous Petrov-Galerkin (DPG) for the Laplace problem
Example 8p: parallel Discontinuous Petrov-Galerkin (DPG) for the Laplace problem
Example 9: Discontinuous Galerkin (DG) time-dependent advection
Example 9p: parallel Discontinuous Galerkin (DG) time-dependent advection
Example 10: time-dependent implicit nonlinear elasticity
Example 10p: parallel time-dependent implicit nonlinear elasticity
Example 11p: parallel Laplace eigensolver
Example 12p: parallel linear elasticity eigensolver
Example 13p: parallel Maxwell eigensolver
Example 14: Discontinuous Galerkin (DG) for the Laplace problem
Example 14p: parallel Discontinuous Galerkin (DG) for the Laplace problem
Example 15: dynamic AMR for Laplace with prescribed time-dependent source
Example 15p: parallel dynamic AMR for Laplace with prescribed time-dependent source
Example 16: time-dependent nonlinear heat equation
Example 16p: parallel time-dependent nonlinear heat equation
Example 17: Discontinuous Galerkin (DG) for linear elasticity
Example 17p: parallel Discontinuous Galerkin (DG) for linear elasticity
Example 18: Discontinuous Galerkin (DG) for the Euler equations
Example 18p: parallel Discontinuous Galerkin (DG) for the Euler equations
Example 19: incompressible nonlinear elasticity
Example 19p: parallel incompressible nonlinear elasticity
Example 20: symplectic ODE integration
Example 20p: parallel symplectic ODE integration
Example 21: adaptive mesh refinement for linear elasticity
Example 21p: parallel adaptive mesh refinement for linear elasticity
Example 22: complex-valued linear systems for damped harmonic oscillators
Example 22p: parallel complex-valued linear systems for damped harmonic oscillators
Example 23: second order in time wave equation
Example 24: mixed finite element spaces and interpolators
Example 24p: parallel mixed finite element spaces and interpolators
Example 25: simulation of electromagnetic wave propagation using a Perfectly Matched Layer (PML)
Example 25p: parallel simulation of electromagnetic wave propagation using a Perfectly Matched Layer (PML)
Example 26: multigrid preconditioner for the Laplace problem using nodal H1 FEM
Example 26p: parallel multigrid preconditioner for the Laplace problem using nodal H1 FEM
Example 27: boundary conditions for the Laplace problem
Example 27p: parallel boundary conditions for the Laplace problem
Example 28: sliding contact in elasticity
Example 28p: parallel sliding contact in elasticity
Example 29: Laplace solve on a 3D-embedded surface
Example 29p: parallel Laplace solve on a 3D-embedded surface
Example 30: mesh preprocessing to resolve problem data
Example 30p: parallel mesh preprocessing to resolve problem data
Example 31: Nedelec H(curl) FEM for the definite anisotropic Maxwell problem
Example 31p: parallel Nedelec H(curl) FEM for the definite anisotropic Maxwell problem
Example 32p: parallel anisotropic Maxwell eigensolver
Example 33: nodal H1 FEM for the fractional Laplacian problem
Example 33p: parallel nodal H1 FEM for the fractional Laplacian problem
Example 34: multi-domain magnetostatics
Example 34p: parallel multi-domain magnetostatics
Example 35p: parallel multi-domain damped harmonic oscillators
Example 36: Proximal Galerkin FEM for the obstacle problem
Example 36p: parallel Proximal Galerkin FEM for the obstacle problem
Example 37: topology optimization
Example 37p: parallel topology optimization
Example 38: cut-surface and cut-volume integration
Example 39: named mesh attributes
Example 39: parallel named mesh attributes

AmgX Examples

Variants of Examples 1 and 1p, demonstrating the use of MFEM's AmgX integration.

Caliper Examples

Variants of Example 1 and 1p, demonstrating the use of MFEM's Ginkgo integration.

Ginkgo Examples

Variants of Example 1, demonstrating the use of MFEM's Ginkgo integration.

HiOp Examples

Variants of Examples 9 and 9p, demonstrating the use of MFEM's HiOp integration.

PETSc Examples

Variants of Examples 1p, 2p, 3p, 4p, 5p, 6p, 9p, and 10p, demonstrating the use of MFEM's PETSc integration.

PUMI Examples

Variants of Examples 1, 1p, 2, and 6p, demonstrating the use of MFEM's PUMI integration.

SUNDIALS Examples

Variants of Examples 9, 9p, 10, 10p, 16, and 16p, demonstrating the use of MFEM's SUNDIALS integration.
CVODES adjoint miniapps: serial ODE system, parallel advection-diffusion.

SuperLU Examples

Variants of Example 1p, demonstrating the use of MFEM's SuperLU integration.

Miniapps

Volta: simple electrostatics simulation code
Tesla: simple magnetostatics simulation code
Maxwell: simple transient full-wave electromagnetics simulation code
Joule: transient magnetics and Joule heating miniapp
Navier: solve the transient incompressible Navier-Stokes equations
Mobius Strip: generate various Mobius strip-like meshes
Klein Bottle: generate three types of Klein bottle surfaces
Toroid: generate simple toroidal meshes
Twist: generate simple periodic meshes
Minimal Surface: compute minimal surfaces, serial and parallel versions
Polar NC: generate polar non-conforming meshes
Shaper: resolve material interfaces by mesh refinement
Extruder: extrude a low-dimensional mesh into a higher dimension
Mesh Explorer: visualize and manipulate meshes
Mesh Optimizer: optimize high-order meshes, serial and parallel versions
Mesh Quality: visualize and check mesh quality
Trimmer: trim elements from existing meshes
Display Basis: visualize finite element basis functions
Get Values: extract field values via DataCollection classes
Load DC: visualize fields saved via DataCollection classes
Convert DC: convert between different DataCollection formats
LOR Transfer: map functions between high-order and low-order refined spaces
Find Points: evaluate grid function in physical space, serial and parallel versions
Field Diff: compare grid functions on different meshes
Field Interp: transfer a grid functions between meshes
Distance: finite element distance function solver
Shifted Diffusion: shifted boundary diffusion solver
Extrapolation: PDE-based extrapolation of finite element functions
Block Solvers: comparison of saddle point system solvers
Optimization gradients: Gradients of PDE-constrained function
Parallel AD: Parallel p-Laplacian example
Serial AD: Serial p-Laplacian example
HPC Example 1: high-performance nodal H1 FEM for the Laplace problem
HPC Example 1p: high-performance parallel nodal H1 FEM for the Laplace problem
SPDE Solvers: SPDE solver random field generation
Contact: mortar contact patch test for elasticity
Multidomain miniapp: Multidomain and Submesh demonstration miniapp
DPG Diffusion example: DPG formulation for the diffusion problem
DPG Maxwell example: DPG formulation for the indefinite Maxwell problem
LOR Elasticity: solve linear elasticity with LOR preconditioning on GPUs

See also the examples documentation online.