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A Variant Restricted Additive Schwarz Preconditioner and Application in Two-dimensional Three-temperature Energy Equations

Yanhua Cao, Xingping Liu, Tong-Xiang Gu

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Abstract

We present a variant restricted Additive Schwarz preconditioner and apply Partial-Newton-Krylov-Schwarz algorithm to solve nonlinear algebraic equations of two-dimensional three-temperature systems. Iteration and CPU time for convergence are decreased. Numerical results show efficiency of the method.

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What this paper is about

We present a variant restricted Additive Schwarz preconditioner and apply Partial-Newton-Krylov-Schwarz algorithm to solve nonlinear algebraic equations of two-dimensional three-temperature systems. Iteration and CPU time for convergence are decreased. Numerical results show efficiency of the method.

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Available abstract

We present a variant restricted Additive Schwarz preconditioner and apply Partial-Newton-Krylov-Schwarz algorithm to solve nonlinear algebraic equations of two-dimensional three-temperature systems. Iteration and CPU time for convergence are decreased. Numerical results show efficiency of the method.

Key concepts: Preconditioner, Schwarz alternating method, Additive Schwarz method, Mathematics, Convergence (economics), Nonlinear system, Applied mathematics, Algebraic number

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