Solution of the first biharmonic problem by the Trefftz method
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Publication:3195054
DOI10.1002/zamm.201200192zbMath1322.65107OpenAlexW2170254170MaRDI QIDQ3195054
Publication date: 21 October 2015
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.201200192
Boundary value problems for higher-order elliptic equations (35J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (1)
An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation
Cites Work
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- Differential quadrature Trefftz method for irregular plate problems
- The Trefftz method using fundamental solutions for biharmonic equations
- New series expansions for fundamental solutions of linear elastostatics in 2D
- Fundamental-solution-based hybrid FEM for plane elasticity with special elements
- The method of fundamental solutions for the numerical solution of the biharmonic equation
- On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations
- The Almansi method of fundamental solutions for solving biharmonic problems
- A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem
- On the Complete Representation of Biharmonic Functions
- Trefftz method: An overview
- Trefftz direct method
- Recent developments of the Trefftz method for finite element and boundary element applications
- Some applications of the Trefftz method in linear elliptic boundary-value problems
- On trial functions applied in the generalized Trefftz method
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