Solving a suite of NIST benchmark problems for adaptive FEM with the Hermes library

DOI10.1016/j.cam.2012.02.004zbMath1250.65141OpenAlexW2089800320MaRDI QIDQ448456

Lukas Korous, Erick Santiago, Zhonghua Ma

Publication date: 6 September 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.02.004

zbMATH Keywords

finite element methodnumerical exampleselliptic problemsbenchmark problemautomatic adaptivityreproducible research

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Packaged methods for numerical algorithms (65Y15)

Uses Software

• Hermes2D
• Agros2D

Cites Work

• PDE-independent adaptive \(hp\)-FEM based on hierarchic extension of finite element spaces
• Monolithic discretization of linear thermoelasticity problems via adaptive multimesh \(hp\)-FEM
• A Survey of hp-Adaptive Strategies for Elliptic Partial Differential Equations

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