2007•Optoelectronics Instrumentation and Data ProcessingRequires access

Method for computational domain decomposition without intersection of subdomains for boundary-value problems

Виктор Митрофанович Свешников

Abstract

A new approach to the method of iterations on subdomains without intersection is proposed. Its distinction is that the Dirichlet condition is established at the boundary at all iterations on subdomains. The convergence of the approach is numerically analyzed using an example of solving a model problem.

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Key concepts: Intersection (aeronautics), Domain decomposition methods, Boundary value problem, Convergence (economics), Mathematics, Applied mathematics, Dirichlet distribution, Dirichlet boundary condition