MATLAB implementation of hp finite elements on rectangles using hierarchical basis functions

DOI10.1007/978-3-031-30445-3_24arXiv2205.07637OpenAlexW4367155777MaRDI QIDQ6135488

Alexej Moskovka, Jan Valdman

Publication date: 25 August 2023

Published in: Parallel Processing and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.07637

zbMATH Keywords

finite elementsboundary value problemmass and stiffness matricesMATLAB vectorizationuniform hp-refinement

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical linear algebra (65F99)

Cites Work

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• Fast MATLAB assembly of FEM matrices in 2D and 3D: edge elements
• Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
• The h-p version of the finite element method. I. The basic approximation results
• Fast Matlab evaluation of nonlinear energies using FEM in 2D and 3D: nodal elements
• Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements
• Hermes2D, a C++ library for rapid development of adaptive \(hp\)-FEM and \(hp\)-DG solvers
• MooAFEM: an object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs
• Data structures and requirements for hp finite element software
• Introduction to Finite Element Analysis
• Thep-Version of the Finite Element Method
• Computing with hp-ADAPTIVE FINITE ELEMENTS

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