First kind integral equations for the numerical solution of the plane Dirichlet problem

Søren Christiansen

Aplikace matematiky (1989)

  • Volume: 34, Issue: 4, page 285-302
  • ISSN: 0862-7940

Abstract

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We present, in a uniform manner, several integral equations of the first kind for the solution of the two-dimensional interior Dirichlet boundary value problem. We apply a general numerical collocation method to the various equations, and thereby we compare the various integral equations, and recommend two of them. We give a survey of the various numerical methods, and present a simple method for the numerical solution of the recommended integral equations.

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Christiansen, Søren. "First kind integral equations for the numerical solution of the plane Dirichlet problem." Aplikace matematiky 34.4 (1989): 285-302. <http://eudml.org/doc/15584>.

@article{Christiansen1989,
abstract = {We present, in a uniform manner, several integral equations of the first kind for the solution of the two-dimensional interior Dirichlet boundary value problem. We apply a general numerical collocation method to the various equations, and thereby we compare the various integral equations, and recommend two of them. We give a survey of the various numerical methods, and present a simple method for the numerical solution of the recommended integral equations.},
author = {Christiansen, Søren},
journal = {Aplikace matematiky},
keywords = {boundary integral equation; interior Dirichlet boundary value problem; Laplace equation; collocation method; boundary integral equation; interior Dirichlet boundary value problem; Laplace equation; collocation method},
language = {eng},
number = {4},
pages = {285-302},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {First kind integral equations for the numerical solution of the plane Dirichlet problem},
url = {http://eudml.org/doc/15584},
volume = {34},
year = {1989},
}

TY - JOUR
AU - Christiansen, Søren
TI - First kind integral equations for the numerical solution of the plane Dirichlet problem
JO - Aplikace matematiky
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 4
SP - 285
EP - 302
AB - We present, in a uniform manner, several integral equations of the first kind for the solution of the two-dimensional interior Dirichlet boundary value problem. We apply a general numerical collocation method to the various equations, and thereby we compare the various integral equations, and recommend two of them. We give a survey of the various numerical methods, and present a simple method for the numerical solution of the recommended integral equations.
LA - eng
KW - boundary integral equation; interior Dirichlet boundary value problem; Laplace equation; collocation method; boundary integral equation; interior Dirichlet boundary value problem; Laplace equation; collocation method
UR - http://eudml.org/doc/15584
ER -

References

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