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Solving parabolic problems using local defect correction in combination with the finite volume method

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

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 473 KB
Volume: 22
Category: Article
ISSN: 0749-159X
DOI: 10.1002/num.20143

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✦ Synopsis

Abstract

We present a method for solving partial differential equations characterized by highly localized properties in which the local defect correction (LDC) algorithm for time‐dependent problems is combined with a finite volume discretization. At each time step, LDC computes a numerical solution on a composite grid, a union of a global uniform coarse grid and a local uniform fine grid. The main feature of the method is that the discrete conservation property, typical of the finite volume approach is preserved on the composite grid. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2006

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