Development Trefftz method for problems of nonhomogeneous media

DOI10.1134/S1995080224602534MaRDI QIDQ6635073

D. B. Volkov-Bogorodskiy

Publication date: 8 November 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite element methodanalytical solutionsPapkovich-Neuber representationclassical and gradient equations of elasticitygeneralized scheme of direct Trefftz methodT-complete systems of functions

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Exact solution of Eshelby-Christensen problem in gradient elasticity for composites with spherical inclusions
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Ein Gegenstück zum Ritz'schen Verfahren.
• Generalized finite element analysis with T-complete boundary solution functions
• Structural analysis in the problems of gradient elasticity
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Related Items (1)

General solutions in gradient elasticity and filtration theory based on Papkovich-Neuber potentials

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