2015Journal of Computer Science and CyberneticsOpen access

Changing the domain of a boundary value problem

Ta Van Dinh

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Abstract

We try to replace a given boundary value problem on a multidimensional domain with nonsmooth boundary by another one on an approximative domain with smooth enough boundary. The convergence of the solution of the approximative problem to that of the given problem is proved.

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What this paper is about

We try to replace a given boundary value problem on a multidimensional domain with nonsmooth boundary by another one on an approximative domain with smooth enough boundary. The convergence of the solution of the approximative problem to that of the given problem is proved.

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Available abstract

We try to replace a given boundary value problem on a multidimensional domain with nonsmooth boundary by another one on an approximative domain with smooth enough boundary. The convergence of the solution of the approximative problem to that of the given problem is proved.

Key concepts: Domain (mathematical analysis), Boundary value problem, Boundary (topology), Convergence (economics), Mathematics, Applied mathematics, Mathematical analysis, Mathematical optimization

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