The Trefftz method for solving eigenvalue problems

DOI10.1016/j.enganabound.2005.10.006zbMath1195.65163OpenAlexW2056200954MaRDI QIDQ1958163

Heng-Shuing Tsai, Tzon-Tzer Lu, Zi Cai Li, Alexander H.-D. Cheng

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2005.10.006

zbMATH Keywords

interfacesHelmholtz equationLaplace eigenvalue problemsnon-linear solutionsthe cracked beamthe Trefftz method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Brittle fracture (74R10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

The method of external excitation for solving generalized Sturm-Liouville problems, A Trefftz collocation method (TCM) for three-dimensional linear elasticity by using the Papkovich-Neuber solutions with cylindrical harmonics, Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains, A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates, The method of external excitation for solving Laplace singular eigenvalue problems, Adaptive error estimation technique of the Trefftz method for solving the over-specified boundary value problem, The Trefftz method for the Helmholtz equation with degeneracy

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