Analysis of Steady Heat Conduction in Regions with Circular Holes by a Special Boundary-integral Method

DOI10.1093/imamat/30.3.231zbMath0515.73126OpenAlexW1987066263MaRDI QIDQ3662796

D. A. Caulk

Publication date: 1983

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/30.3.231

zbMATH Keywords

steady heat conductionapproximate equationssolved analyticallyregions with circular holesretain only first harmonic of solution expansion on each holesolution on boundary of each hole expanded in circular harmonicssymmetric arrangements of holes inside circleunknown coefficients determined by special system of boundary-integral equations

Mathematics Subject Classification ID

Related Items (8)

An integral equation method and its application to defect mechanics ⋮ 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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