Unified Hybrid-Trefftz Finite Element Formulation for Dynamic Problems

DOI10.1007/978-3-030-52804-1_9zbMath1451.65151OpenAlexW3089510838MaRDI QIDQ5132511

Ildi Cismasiu, João António Teixeira de Freitas, Ionut Dragos Moldovan

Publication date: 12 November 2020

Published in: Advances in Trefftz Methods and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-52804-1_9

zbMATH Keywords

finite element methodboundary element methodhybrid Trefftz finite element method

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for discrete and fast Fourier transforms (65T50) Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Finite difference methods for boundary value problems involving PDEs (65N06) Hyperbolic equations and hyperbolic systems (35L99) Parabolic equations and parabolic systems (35K99) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Uses Software

• FreeHyTE

Cites Work

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• Direct solution procedure for solution of harmonic problems using complete, non-singular, Trefftz functions
• Large finite elements method for the solution of problems in the theory of elasticity
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