A numerical solution of the Dirichlet problem on some special doubly connected regions

DOI10.1023/A:1022296024669zbMath0938.65153OpenAlexW52695582MaRDI QIDQ1978987

Eva Dontová, Miroslav Dont

Publication date: 22 May 2000

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/32996

zbMATH Keywords

numerical methodDirichlet problemboundary integral equationLaplace equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Numerical methods for partial differential equations, boundary value problems (65N99) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (1)

A heat approximation.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The plane Dirichlet problem for certain multiply connected regions
• Diskrete Konvergenz linearer Operatoren. II
• Global reflection for a class of simple closed curves
• Boundary regularity and normal derivatives of logarithmic potentials
• Reflection and the Dirichlet problem on doubly connected regions
• Reflection and the Neumann problem on doubly connected regions
• A New Integral Equation for Certain Plane Dirichlet Problems
• Harmonic Approximation with Dirichlet Data on Doubly Connected Regions
• Fourier problem with bounded Baire data
• Non-tangential limits of the logarithmic potential
• The Fredholm radius of an operator in potential theory. [Continuation]
• The Fredholm Method in Potential Theory
• Generalized Robin problem in potential theory
• The third boundary value problem in potential theory

This page was built for publication: A numerical solution of the Dirichlet problem on some special doubly connected regions