Treatment of incompatible initial and boundary data for parabolic equations in higher dimension-Reference-Cited by-同舟云学术

Treatment of incompatible initial and boundary data for parabolic equations in higher dimension

Published:2011-04-14 Issue:276 Volume:80 Page:2071-2096
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Chen Qingshan,Qin Zhen,Temam Roger

Abstract

A new method is proposed to improve the numerical simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one, this method can be used for any space dimension. When both methods are applicable (in space dimension one), the improvements in precision are comparable, but the method proposed here is not restricted by dimension.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/2011-80-276/S0025-5718-2011-02469-5/S0025-5718-2011-02469-5.pdf

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