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

V. Sladek1, J. Sladek1, M. Tanaka2

Institute of Construction and Architecture, Slovak Academy of Sciences, 845 03 Bratislava, Slovak Republic e-mail: Vladimir.Sladek@savba.sk ; Jan.Sladek@savba.sk
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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APA Style
Sladek, V., Sladek, J., Tanaka, M. (2005). Local integral equations and two meshless polynomial interpolations with application to potential problems in non-homogeneous media. Computer Modeling in Engineering & Sciences, 7(1), 69-84. https://doi.org/10.3970/cmes.2005.007.069
Vancouver Style
Sladek V, Sladek J, Tanaka M. Local integral equations and two meshless polynomial interpolations with application to potential problems in non-homogeneous media. Comput Model Eng Sci. 2005;7(1):69-84 https://doi.org/10.3970/cmes.2005.007.069
IEEE Style
V. Sladek, J. Sladek, and M. Tanaka "Local Integral Equations and two Meshless Polynomial Interpolations with Application to Potential Problems in Non-homogeneous Media," Comput. Model. Eng. Sci., vol. 7, no. 1, pp. 69-84. 2005. https://doi.org/10.3970/cmes.2005.007.069



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