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Local defect correction with slanting grids
Author(s) -
Graziadei M.,
Mattheij R. M. M.,
ten Thije Boonkkamp J. H. M.
Publication year - 2004
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.10079
Subject(s) - grid , domain (mathematical analysis) , tensor product , mathematics , partial differential equation , partial derivative , diffusion , mathematical analysis , geometry , pure mathematics , thermodynamics , physics
The local defect correction (LDC) method is used to solve a convection‐diffusion‐reaction problem that contains a high‐activity region in a relatively small part of the domain. The improvement of the solution on a coarse grid is obtained by introducing a correction term computed from a local fine‐grid solution. This article studies problems where the high‐activity region is covered with a rectangular fine grid not aligned with the axes of the global domain. This study shows that the resulting method is less expensive than both a uniform refinement and tensor product grid method. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 1–17, 2004.