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

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  • Avetik Arakelyan Institute of Mathematics NAS of Armenia, Baghramyan 24/5, 0019 Yerevan, Armenia
  • Rafayel Barkhudaryan Institute of Mathematics NAS of Armenia, Baghramyan 24/5, 0019 Yerevan, Armenia http://orcid.org/0000-0002-9794-9284 (չնույնականացված)
  • Michael Poghosyan Department of Mathematics and Mechanics, Yerevan State University, Alex Manoogian 1, 0025, Yerevan, Armenia

Ամփոփում

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 numerical algorithm. At the end of the paper we present some numerical simulations.

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2015-12-10

Թողարկում

Հտ․ 7 No. 2 (2015): Arshag Hajian: By the 85th Anniversary.

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Articles

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[1]
A. Arakelyan, R. Barkhudaryan, and M. Poghosyan, “Numerical Solution of the Two-Phase Obstacle Problem by Finite Difference Method”, Armen.J.Math., vol. 7, no. 2, pp. 164–182, Dec. 2015, Accessed: May 09, 2026. [Online]. Available: http://test.armjmath.sci.am/index.php/ajm/article/view/118