High-performance finite elements with MFEM

The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for finite element discretizations. MFEM supports numerous types of finite element methods and is the discretization engine powering many computational physics and engineering applications across a number of domains. Furthermore, this paper describes some of the recent research and development in MFEM, focusing on performance portability across leadership-class supercomputing facilities, including exascale supercomputers, as well as new capabilities and functionality, enabling a wider range of applications. Much of this work was undertaken as part of the Department of Energy’s Exascale Computing Project (ECP) in collaboration with the Center for Efficient Exascale Discretizations (CEED).. Authors: Andrej, Julian [Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Brown University]; Atallah, Nabil [Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)]; Bäcker, Jan-Phillip [TU Dortmund University (Germany)] (ORCID:000000034521358X); Camier, Jean-Sylvain [Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)]; Copeland, Dylan [Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)] (ORCID:0000000332578002). DOE Contract: AC52-07NA27344; SC0024335. Subjects: 97 MATHEMATICS AND COMPUTING; Finite elements; GPU computing; meshing; scalable solvers; scientific software