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

Applications of Mathematics (1998)

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

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topDont, 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 -

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