English

MFEM: a modular finite element methods library

Mathematical Software 2020-07-15 v2 Numerical Analysis Numerical Analysis

Abstract

MFEM is an open-source, lightweight, flexible and scalable C++ library for modular finite element methods that features arbitrary high-order finite element meshes and spaces, support for a wide variety of discretization approaches and emphasis on usability, portability, and high-performance computing efficiency. MFEM's goal is to provide application scientists with access to cutting-edge algorithms for high-order finite element meshing, discretizations and linear solvers, while enabling researchers to quickly and easily develop and test new algorithms in very general, fully unstructured, high-order, parallel and GPU-accelerated settings. In this paper we describe the underlying algorithms and finite element abstractions provided by MFEM, discuss the software implementation, and illustrate various applications of the library.

Keywords

Cite

@article{arxiv.1911.09220,
  title  = {MFEM: a modular finite element methods library},
  author = {Robert Anderson and Julian Andrej and Andrew Barker and Jamie Bramwell and Jean-Sylvain Camier and Jakub Cerveny and Veselin Dobrev and Yohann Dudouit and Aaron Fisher and Tzanio Kolev and Will Pazner and Mark Stowell and Vladimir Tomov and Johann Dahm and David Medina and Stefano Zampini},
  journal= {arXiv preprint arXiv:1911.09220},
  year   = {2020}
}

Comments

36 pages, 21 figures

R2 v1 2026-06-23T12:22:53.020Z