Numerical investigation of alternating-direction method for Poisson equation with weighted integral conditions
Articles
Olga Štikonienė
Vilnius University
http://orcid.org/0000-0002-0302-3449
Mifodijus Sapagovas
Vilnius University
Published 2010-10-22
https://doi.org/10.15388/LMR.2010.14665
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Keywords

elliptic equation
nonlocal integral conditions
finite-difference method
alternating direction method
convergence of iterative method

How to Cite

Štikonienė O. and Sapagovas M. (2010) “Numerical investigation of alternating-direction method for Poisson equation with weighted integral conditions”, Lietuvos matematikos rinkinys, 51(proc. LMS), pp. 385-390. doi: 10.15388/LMR.2010.14665.

Abstract

The present paper deals with a generalization of the alternating-direction implicit
(ADI) method for a two dimensional Poisson equation in a rectangle domain with a
weighted integral boundary condition in one coordinate direction. We consider the alternating
direction method for a system of difference equations that approximates Poisson equation
with weighed integral boundary conditions with the fourth-order accuracy. Sufficient conditions
of stability for ADI method are investigated numerically. An analysis of results of
computational experiments is presented.

 

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