SPECIAL BOUNDARY INTEGRAL EQUATIONS FOR APPROXIMATE SOLUTION OF LAPLACE'S EQUATION IN TWO-DIMENSIONAL REGIONS WITH CIRCULAR HOLES

DOI10.1093/qjmam/34.3.265zbMath0461.73067OpenAlexW2125843054MaRDI QIDQ3911504

D. A. Caulk, Martin R. Barone

Publication date: 1981

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/34.3.265

zbMATH Keywords

boundary integral equationsLaplace's equationsolved in closed formgeneral two-dimensional regionarbitrary configuration of circular holesequations corresponding to lowest and next level of approximationexamples of single holeinfinite row of holesset of integral equations with special kernel functions

Mathematics Subject Classification ID

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SENSITIVITY ANALYSIS FORMULATION FOR THREE-DIMENSIONAL CONDUCTION HEAT TRANSFER WITH COMPLEX GEOMETRIES USING A BOUNDARY ELEMENT METHOD ⋮ Neumann problems of Laplace's equation in circular domains with circular holes by methods of field equations ⋮ Boundary methods for Dirichlet problems of Laplaces equation in elliptic domains with elliptic holes ⋮ The interior field method for Laplace's equation in circular domains with circular holes ⋮ The null-field method of Dirichlet problems of Laplace's equation on circular domains with circular holes ⋮ Algorithm singularity of the null-field method for Dirichlet problems of Laplace's equation in annular and circular domains ⋮ Null field and interior field methods for Laplace's equation in actually punctured disks ⋮ Null‐field approach for Laplace problems with circular boundaries using degenerate kernels

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