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Local integral equation method for potential problems in functionally graded anisotropic materials |
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| Affiliation: | 1. Institute of Low Temperature and Structure Research, Polish Academy of Sciences, 2 Okolna St., 50-422 Wroclaw, Poland;2. Institute of Genetics and Microbiology, Department of Microbiology, Faculty of Biological Sciences, University of Wroclaw, 63/77 Przybyszewskiego St., 51-148 Wroclaw, Poland;3. Department of Conservative Dentistry and Endodontics, F. Skubiszewski Medical University, 1 Racławickie Ave., 20-059 Lublin, Poland;4. V.I. Vernadskii Institute of General and Inorganic Chemistry, 32/34 Palladin Ave., Kiev, Ukraine |
| Abstract: | Efficient computational techniques are developed for 2D potential problems in anisotropic media with continuously variable material coefficients. The method is based on integral relationships considered on local sub-domains and domain-type approximations of the field variable. Three different kinds of integral equations are combined with either a domain element interpolation or a meshless point interpolation. The physical background of the formulation is discussed briefly. The accuracy and the convergence of the proposed techniques are tested by several examples and compared with benchmark analytical solutions. |
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