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A local defect correction technique for time‐dependent problems
Author(s) -
Minero R.,
Anthonissen M. J. H.,
Mattheij R. M. M.
Publication year - 2006
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20078
Subject(s) - robustness (evolution) , grid , partial differential equation , mathematics , partial derivative , domain (mathematical analysis) , mathematical optimization , mathematical analysis , geometry , biochemistry , chemistry , gene
In this article a local defect correction technique for time‐dependent problems is presented. The method is suitable for solving partial differential equations characterized by a high activity, which is mainly located, at each time, in a small part of the physical domain. The problem is solved at each time step by means of a global uniform coarse grid and a local uniform fine grid. Local and global approximation are improved iteratively. Results of numerical experiments illustrate the accuracy, the efficiency, and the robustness of the method. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2006