Numerical Solution of the Two-Phase Obstacle Problem by Finite Difference Method

Numerical Solution of the Two-Phase Obstacle Problem by Finite Difference Method

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We propose an algorithm to solve the two-phase obstacle problem by finite difference method. We prove the existence and uniqueness of the solution of the discrete nonlinear system and obtain an error estimate for the corresponding regularization. Also we prove the convergence of the proposed numeri...

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Bibliographic Details
Main Authors:	Avetik Arakelyan, Rafayel Barkhudaryan, Michael Poghosyan
Format:	Article
Language:	English
Published:	Republic of Armenia National Academy of Sciences 2015-12-01
Series:	Armenian Journal of Mathematics
Online Access:	http://armjmath.sci.am/index.php/ajm/article/view/118

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