The usage of Trefftz functions and Picard's iteration for solving different problems of a two-dimensional wave equation

DOI10.17512/jamcm.2014.3.14OpenAlexW853186080MaRDI QIDQ2202580

Magdalena Walaszczyk, Artur Maciag, Patrycja Krzyszkowska

Publication date: 19 September 2020

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

Full work available at URL: https://doi.org/10.17512/jamcm.2014.3.14

zbMATH Keywords

wave equationTrefftz functionsPicard's iteration

Mathematics Subject Classification ID

Wave equation (35L05) Iteration theory, iterative and composite equations (39B12) General topics in partial differential equations (35A99)

Related Items (1)

The solution of nonlinear direct and inverse problems for beam by means of the Trefftz functions

Cites Work

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• Solution of a stationary inverse heat conduction problem by means of Trefftz non-continuous method
• Three-dimensional wave polynomials
• Basis for development of large finite elements locally satisfying all field equations
• Solution of the two-dimensional wave equation by using wave polynomials
• The usage of wave polynomials in solving direct and inverse problems for two-dimensional wave equation
• Expansions in Terms of Heat Polynomials and Associated Functions
• Generalized finite element analysis with T-complete boundary solution functions
• Connectivity as an alternative to boundary integral equations: Construction of bases
• Survey of trefftz-type element formulations

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