MFEM

A modular finite element methods library

Journal article (2021)

Authors

Robert Anderson Lawrence Livermore National Laboratory
Julian Andrej Lawrence Livermore National Laboratory
Andrew Barker Lawrence Livermore National Laboratory
Jamie Bramwell Lawrence Livermore National Laboratory
Jean Sylvain Camier Lawrence Livermore National Laboratory
Jakub Cerveny Lawrence Livermore National Laboratory
Veselin Dobrev Lawrence Livermore National Laboratory
Yohann Dudouit Lawrence Livermore National Laboratory
I. Akkerman Ship Hydromechanics and Structures - Mechanical, Maritime and Materials Engineering
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Research Group
Ship Hydromechanics and Structures (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2021 Robert Anderson, Julian Andrej, Andrew Barker, Jamie Bramwell, Jean Sylvain Camier, Jakub Cerveny, Veselin Dobrev, Yohann Dudouit, I. Akkerman, More Authors
DOI
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https://doi.org/10.1016/j.camwa.2020.06.009
High-performance computing High-order methods Finite element methods Matrix-free algorithms Numerical PDEs Open-source scientific software
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Published Date

2021

Language

English

Faculty

Mechanical, Maritime and Materials Engineering

Department

Marine and Transport Technology

Research Group

Ship Hydromechanics and Structures

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.