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

DOI10.1016/J.EUROMECHSOL.2021.104476OpenAlexW3216078278MaRDI QIDQ2063441

Artur Maciag, Anna Pawinska

Publication date: 11 January 2022

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2021.104476

zbMATH Keywords

Picard iterationnonlinear partial differential equationbeam vibrationoperator decomposition

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Inverse problems in dynamical solid mechanics (74H75)

Cites Work

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• Solution of the direct and inverse problems for beam
• Solution of a stationary inverse heat conduction problem by means of Trefftz non-continuous method
• Three-dimensional wave polynomials
• The usage of Trefftz functions and Picard's iteration for solving different problems of a two-dimensional wave equation
• 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
• Physical regularization for inverse problems of stationary heat conduction

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