Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme | Zendy

Ming Li | Zendy; Chenliang Li | Zendy

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Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme

Author(s) -

Ming Li,

Chenliang Li

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/490540

Subject(s) - richardson extrapolation , poisson's equation , mathematics , multigrid method , extrapolation , interpolation (computer graphics) , computation , poisson distribution , compact finite difference , grid , scheme (mathematics) , operator (biology) , mathematical analysis , partial differential equation , algorithm , computer science , geometry , statistics , animation , biochemistry , chemistry , computer graphics (images) , repressor , transcription factor , gene

Based on a fourth order compact difference scheme, a Richardson cascadic multigrid (RCMG) method for 2D Poisson equation is proposed, in which the an initial value on the each grid level is given by the Richardson extrapolation technique (Wang and Zhang (2009)) and a cubic interpolation operator. The numerical experiments show that the new method is of higher accuracy and less computation time

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