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http://dx.doi.org/10.14317/jami.2014.511

ANALYSIS OF A FOURTH ORDER SCHEME AND APPLICATION OF LOCAL DEFECT CORRECTION METHOD

Abbas, Ali (Department of Mathematics, Lebanese International University)

Publication Information

Journal of applied mathematics & informatics / v.32, no.3_4, 2014 , pp. 511-527 More about this Journal

Abstract

This paper provides a new application similar to the Local Defect Correction (LDC) technique to solve Poisson problem -u"(x) = f(x) with Dirichlet boundary conditions. The exact solution is supposed to have high activity in some region of the domain. LDC is combined with a fourth order compact scheme which is recently developed in Abbas (Num. Meth. Partial differential equations, 2013). Numerical tests illustrate the interest of this application.

Keywords

High order scheme; Local defect correction; Multiscale method; Poisson problem;

Citations & Related Records

Reference

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