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2012•Journal of Jiamusi UniversityRequires access

An Circular Artificial Boundary Overlapping Domain Decomposition Algorithm Based on Coordinates Changing and Natural Boundary Reduction Theory

Wang Shou-cheng

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Abstract

An circular artificial boundary overlapping domain decomposition algorithm was proposed based on the coordinates changing and natural boundary reduction theory for solving the Helmholtz equation.The algorithm was constructed and the convergence was discussed.It is proved that the convergence rate of the algorithm is geometrical.

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What this paper is about

An circular artificial boundary overlapping domain decomposition algorithm was proposed based on the coordinates changing and natural boundary reduction theory for solving the Helmholtz equation.The algorithm was constructed and the convergence was discussed.It is proved that the convergence rate of the algorithm is geometrical.

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Available abstract

An circular artificial boundary overlapping domain decomposition algorithm was proposed based on the coordinates changing and natural boundary reduction theory for solving the Helmholtz equation.The algorithm was constructed and the convergence was discussed.It is proved that the convergence rate of the algorithm is geometrical.

Key concepts: Boundary (topology), Mathematics, Reduction (mathematics), Convergence (economics), Helmholtz equation, Domain decomposition methods, Algorithm, Domain (mathematical analysis)

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