Boundary Tracing for Laplace's Equation with Conformal Mapping

DOI10.1137/22M1476241zbMath1502.35049OpenAlexW4289526412MaRDI QIDQ5097465

Miccal T. Matthews, Neville Fowkes, Conway Li

Publication date: 24 August 2022

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/22m1476241

zbMATH Keywords

Robin conditionboundary tracinggeneral flux boundary conditionsLaplace equation in two-dimensional domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Exact solutions of the Laplace–Young equation
• Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling
• A nonlinear elliptic boundary value problem related to corrosion modeling
• Boundary tracing and boundary value problems: I. Theory
• Boundary tracing and boundary value problems: II. Applications
• Minumum-Mass Thin Fins which Transfer Heat Only by Radiation to Surroundings at Absolute Zero

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