A numerical conformal transformation method for harmonic mixed boundary value problems in polygonal domains

DOI10.1007/BF01595198zbMath0273.35031MaRDI QIDQ2264914

N. Papamichael, J. R. Whiteman

Publication date: 1973

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Schwarz-Christoffel-type mappings (30C30) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (12)

Application of conformal mappings and the numerical analysis of conditioning of the matrices in Trefftz method for some boundary value problems ⋮ Numerische Ermittlung quasikonformer Abbildungen mit finiten Elementen ⋮ On the mixed boundary-value problem for harmonic functions in plane domains ⋮ The treatment of singularities in the calculation of stress intensity factors using the boundary integral equation method ⋮ Special boundary approximation methods for Laplace equation problems with boundary singularities--applications to the Motz problem ⋮ Numerical techniques for two-dimensional Laplacian problems ⋮ Finite-difference solution of Poisson's equation in rectangles of arbitrary proportions ⋮ The numerical solution of elliptic and parabolic partial differential equations with boundary singularities ⋮ Discrete quasiconformal mappings ⋮ Numerical conformal mapping onto a rectangle with applications to the solution of Laplacian problems ⋮ Remarks concerning the boundary element method in potential theory ⋮ Singularities and treatments of elliptic boundary value problems.

Cites Work

• An integral equation method in conformal mapping
• Treatment of harmonic mixed boundary problems by conformal transformation methods
• Integral equation methods in potential theory. I

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