The Use of Conformal Transformations for the Numerical Solution of Elliptic Boundary Value Problems with Boundary Singularities

DOI10.1093/imamat/23.1.73zbMath0408.65016OpenAlexW2005416964MaRDI QIDQ4195848

A. B. Sideridis, N. Papamichael

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1093/imamat/23.1.73

zbMATH Keywords

Numerical SolutionBoundary SingularitiesConformal Transformation MethodHarmonic ProblemsTwo-Dimensional Elliptic Boundary Value Problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Conformal mappings of special domains (30C20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Numerical methods for partial differential equations, boundary value problems (65N99) Kernel functions in one complex variable and applications (30C40)

Related Items (5)

A numerical solution of the membrane eigenvalue problem ⋮ Two numerical methods for the conformal mapping of simply-connected domains ⋮ Linearized solution of a free-surface flow over a trapezoidal obstacle ⋮ Numerical conformal mapping onto a rectangle with applications to the solution of Laplacian problems ⋮ The determination of the poles of the mapping function and their use in numerical conformal mapping

This page was built for publication: The Use of Conformal Transformations for the Numerical Solution of Elliptic Boundary Value Problems with Boundary Singularities