Open Access

ARTICLE

Local Integral Equations and two Meshless Polynomial Interpolations with Application to Potential Problems in Non-homogeneous Media

V. Sladek¹, J. Sladek¹, M. Tanaka²

1 Institute of Construction and Architecture, Slovak Academy of Sciences, 845 03 Bratislava, Slovak Republic e-mail: Vladimir.Sladek@savba.sk ; Jan.Sladek@savba.sk
2 Department of Mechanical Systems Engineering, Shinshu University, 4-17-1 Wakasato, Nagano, 380-8553, Japan

Computer Modeling in Engineering & Sciences 2005, 7(1), 69-84. https://doi.org/10.3970/cmes.2005.007.069

Abstract

An efficient numerical method is proposed for 2-d potential problems in anisotropic media with continuously variable material coefficients. The method is based on the local integral equations (utilizing a fundamental solution) and meshfree approximation of field variable. A lot of numerical experiments are carried out in order to study the numerical stability, accuracy, convergence and efficiency of several approaches utilizing various interpolations.

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Keywords

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