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20182026
most citedMFEM: a modular finite element methods library

456 citations · 639 across the 19 of their papers we have counts for

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cs.MS2024★ 21 cited

High-performance finite elements with MFEM

Julian Andrej, Nabil Atallah, Jan-Phillip Bäcker +15

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 i…

cs.MS2024

Mixed-Order Meshes through rp-adaptivity for Surface Fitting to Implicit Geometries

Ketan Mittal, Veselin A. Dobrev, Patrick Knupp +4

Computational analysis with the finite element method requires geometrically accurate meshes. It is well known that high-order meshes can accurately capture curved surfaces with fe…

cs.MS2022★ 14 cited

Accelerating High-Order Mesh Optimization Using Finite Element Partial Assembly on GPUs

Jean-Sylvain Camier, Veselin Dobrev, Patrick Knupp +4

In this paper we present a new GPU-oriented mesh optimization method based on high-order finite elements. Our approach relies on node movement with fixed topology, through the Targ…

cs.MS2021★ 1 cited

Matrix-free approaches for GPU acceleration of a high-order finite element hydrodynamics application using MFEM, Umpire, and RAJA

Arturo Vargas, Thomas M. Stitt, Kenneth Weiss +4

With the introduction of advanced heterogeneous computing architectures based on GPU accelerators, large-scale production codes have had to rethink their numerical algorithms and i…

cs.MS2019★ 456 cited

MFEM: a modular finite element methods library

Robert Anderson, Julian Andrej, Andrew Barker +13

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, suppo…