Galerkin Versions of Nonsingular Trefftz Method Derived from Variational Formulations for 2D Laplace Problem

• Authors: Adam Brański , Dorota Borkowska
• Languages of publication: EN

Abstracts

EN

In the paper, application of the Trefftz complete functions and Kupradze functions in two variational formulations is compared. They are applied in the original formulation and in the inverse one to the solution of boundary value problems of two-dimensional Laplace's equation. In these formulations, both solution and weighting functions are assumed to be of the same type, either the Trefftz function or the Kupradze function. Thus Galerkin versions of the methods are considered. All methods lead to the BEM and they are nonsingular. The relationship between the groups of methods of the original and inverse formulations is noticed. Numerical experiments are conducted for the Motz's problem. The accuracy and simplicity of the methods are discussed. All methods give comparable results. Since they are nonsingular, they may be successfully applied to solving boundary problems.

Keywords

EN

02.60.Lj; 02.30.Jr; 41.20.Cv

Discipline

• 02.60.Lj: Ordinary and partial differential equations; boundary value problems
• 02.30.Jr: Partial differential equations
• 41.20.Cv: Electrostatics; Poisson and Laplace equations, boundary-value problems

• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 128
• Issue: 1A
• Pages: A-50-A-55

Dates

published

2015-07

Contributors

author

Adam Brański

• Laboratory of Acoustics, The Faculty of Electrical and Computer Engineering, Rzeszow University of Technology, Powstańców Warszawy 12, 35-959 Rzeszow, Poland

author

Dorota Borkowska

• Department of Computer Engineering in Management, The Faculty of Management, Rzeszow University of Technology, Powstańców Warszawy 12, 35-959 Rzeszow, Poland

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Identifiers

DOI

10.12693/APhysPolA.128.A-50