MFEM: A modular finite element methods library

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 computin...

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Bibliographic Details
Published in:	Computers & mathematics with applications (1987) 2021-01, Vol.81 (1), p.42-74
Main Authors:	Anderson, Robert, Andrej, Julian, Barker, Andrew, Bramwell, Jamie, Camier, Jean-Sylvain, Cerveny, Jakub, Dobrev, Veselin, Dudouit, Yohann, Fisher, Aaron, Kolev, Tzanio, Pazner, Will, Stowell, Mark, Tomov, Vladimir, Akkerman, Ido, Dahm, Johann, Medina, David, Zampini, Stefano
Format:	Article
Language:	eng
Subjects:	Algorithms Finite element method Finite element methods High-order methods High-performance computing Libraries Matrix-free algorithms Numerical PDEs Open-source scientific software Source code
Online Access:	Get full text
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Summary:	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.
ISSN:	0898-1221 1873-7668