Computational science

Usability

Discretization

Engineering

Variety (cybernetics)

Computer graphics (images)

Operating system

Scalability

Computer science

Modular design

Software portability

Software

Finite element method

Database

Mathematics

Mathematical analysis

Artificial intelligence

Structural engineering

Polygon mesh

Programming language

Computers & Mathematics with Applications

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.

MFEM: A modular finite element methods library