Applications of the modified Trefftz method for the Laplace equation

DOI10.1016/j.enganabound.2008.05.008zbMath1244.65170OpenAlexW2099277720MaRDI QIDQ443384

Jiang-Ren Chang, Yung-Wei Chen, Chein-Shan Liu

Publication date: 7 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.05.008

zbMATH Keywords

Laplace equationsingular problemmodified Trefftz methodartificial circledtr mappingmixed-boundary value problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

Models of corner and crack singularity of linear elastostatics and their numerical solutions ⋮ Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics ⋮ Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm ⋮ Group preserving scheme and reproducing kernel method for the Poisson-Boltzmann equation for semiconductor devices ⋮ Many names of the Trefftz method ⋮ On rank-deficiency in direct Trefftz method for 2D Laplace problems

Cites Work

• Indirect Trefftz method for boundary value problem of Poisson equation.
• A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
• An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length
• Novel meshless method for solving the potential problems with arbitrary domain
• Application of Trefftz-type boundary element method to simulation of two-dimensional sloshing phenomenon
• Highly accurate solutions of Motz's and the cracked beam problems
• A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain's Characteristic Length
• Trefftz, collocation, and other boundary methods—A comparison
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