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A local defect correction technique for time-dependent problems

✍ Scribed by R. Minero; M. J. H. Anthonissen; R. M. M. Mattheij

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
328 KB
Volume
22
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

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. Β© 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2006

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