4.7 Article

MFEM: A modular finite element methods library

期刊

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2020.06.009

关键词

Finite element methods; Numerical PDEs; Open-source scientific software; High-order methods; Matrix-free algorithms; High-performance computing

资金

  1. U.S. Department of Energy (DOE)
  2. DOE Office of Science
  3. NNSA
  4. agency of the United States government

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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. Its goal is to provide access to cutting-edge algorithms for high-order finite element meshing, discretizations and linear solvers, while enabling researchers to develop and test new algorithms in general, unstructured, high-order, parallel and GPU-accelerated settings.
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. Published by Elsevier Ltd.

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