A local defect correction technique for time-dependent problems

R. Minero, M.J.H. Anthonissen, R.M.M. Mattheij

Research output: Contribution to journalArticleAcademicpeer-review

17 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)128-144
Number of pages17
JournalNumerical Methods for Partial Differential Equations
Volume22
Issue number1
DOIs
Publication statusPublished - 2006

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