Armenian Journal of Mathematics, 7(2)
2015; 164–182
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Numerical Solution of the Two-PhaseObstacle Problem by Finite DifferenceMethod

Avetik Arakelyan*, Rafayel Barkhudaryan, Michael Poghosyan

Received: 2024-12-19 · Published: 2015-12-10

© 2015 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Numerical Solution of the Two-PhaseObstacle Problem by Finite DifferenceMethod
Authors
Avetik Arakelyan, Rafayel Barkhudaryan, Michael Poghosyan
Source journal
Armenian Journal of Mathematics, 7(2)
Published
2015-12-10
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/118

Abstract

We propose an algorithm to solve thetwo-phaseobstacle problemby finite difference method. We prove the ex-istence and uniqueness of the solution of the discrete nonlinearsystem and obtain an error estimate for the corresponding reg-ularization. Also we prove the convergence of the proposed nu-merical algorithm. At the end of the paper we present somenumerical simulations.
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