Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme-Reference-Cited by-同舟云学术

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

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Ming Li¹,Chen-Liang Li²

Affiliation:

1. Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China

2. School of Mathematics and Computing Science, Guilin University of Electronics Technology, Guilin, Guangxi 541004, China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2014/490540.pdf

Reference22 articles.

1. An Efficient Preconditioned CG Method for the Solution of a Class of Layered Problems with Extreme Contrasts in the Coefficients

2. Parallel solvers for linear and nonlinear exterior magnetic field problems based upon coupled FE/BE Formulations

3. Massively parallel methods for semiconductor device modelling

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