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FOURTH ORDER ACCURATE SCHEME WITH MULTIGRID METHOD FOR SOLVING ANISOTROPIC ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Bouthina S. Ahmed, Shatha Monaquel

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Abstract

In this paper, we develop a fourth order finite difference discretization strategy to solve anisotropic elliptic differential equation. We use multigrid V-cycle procedure to built multiscale multigrid method which is similar to the full multigrid method. Numerical results are given to illustrate the efficiency of this method.

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What this paper is about

In this paper, we develop a fourth order finite difference discretization strategy to solve anisotropic elliptic differential equation. We use multigrid V-cycle procedure to built multiscale multigrid method which is similar to the full multigrid method. Numerical results are given to illustrate the efficiency of this method.

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Available abstract

In this paper, we develop a fourth order finite difference discretization strategy to solve anisotropic elliptic differential equation. We use multigrid V-cycle procedure to built multiscale multigrid method which is similar to the full multigrid method. Numerical results are given to illustrate the efficiency of this method.

Key concepts: Multigrid method, Discretization, Partial differential equation, Elliptic partial differential equation, Mathematics, Applied mathematics, Scheme (mathematics), Order (exchange)

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FOURTH ORDER ACCURATE SCHEME WITH MULTIGRID METHOD FOR SOLVING ANISOTROPIC ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS — Research Paper | ScholarLens