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

Miroslav Dont; Eva Dontová

Applications of Mathematics (1998)

  • Volume: 43, Issue: 1, page 53-76
  • ISSN: 0862-7940

Abstract

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The aim of this paper is to give a convergence proof of a numerical method for the Dirichlet problem on doubly connected plane regions using the method of reflection across the exterior boundary curve (which is analytic) combined with integral equations extended over the interior boundary curve (which may be irregular with infinitely many angular points).

How to cite

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Dont, Miroslav, and Dontová, Eva. "A numerical solution of the Dirichlet problem on some special doubly connected regions." Applications of Mathematics 43.1 (1998): 53-76. <http://eudml.org/doc/32996>.

@article{Dont1998,
abstract = {The aim of this paper is to give a convergence proof of a numerical method for the Dirichlet problem on doubly connected plane regions using the method of reflection across the exterior boundary curve (which is analytic) combined with integral equations extended over the interior boundary curve (which may be irregular with infinitely many angular points).},
author = {Dont, Miroslav, Dontová, Eva},
journal = {Applications of Mathematics},
keywords = {Dirichlet problem; integral equations; numerical method; boundary integral equation; Laplace equation; Dirichlet problem; numerical method},
language = {eng},
number = {1},
pages = {53-76},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A numerical solution of the Dirichlet problem on some special doubly connected regions},
url = {http://eudml.org/doc/32996},
volume = {43},
year = {1998},
}

TY - JOUR
AU - Dont, Miroslav
AU - Dontová, Eva
TI - A numerical solution of the Dirichlet problem on some special doubly connected regions
JO - Applications of Mathematics
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 43
IS - 1
SP - 53
EP - 76
AB - The aim of this paper is to give a convergence proof of a numerical method for the Dirichlet problem on doubly connected plane regions using the method of reflection across the exterior boundary curve (which is analytic) combined with integral equations extended over the interior boundary curve (which may be irregular with infinitely many angular points).
LA - eng
KW - Dirichlet problem; integral equations; numerical method; boundary integral equation; Laplace equation; Dirichlet problem; numerical method
UR - http://eudml.org/doc/32996
ER -

References

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