A posteriori error estimation for a defect correction method applied to conduction convection problems

Autor:	Yunzhang Zhang, Conghui Du, Yanren Hou
Rok vydání:	2012
Předmět:	Convection Numerical Analysis Mathematical optimization Correction method Applied Mathematics Thermal conduction Computational Mathematics Viscosity Dimension (vector space) Stationary flow Applied mathematics Partial derivative A priori and a posteriori Analysis Mathematics
Zdroj:	Numerical Methods for Partial Differential Equations. 29:496-509
ISSN:	0749-159X
DOI:	10.1002/num.21717
Popis:	We present a posteriori error estimate for a defect correction method for approximating solutions of the stationary conduction convection problems in two dimension. The defect correction method is aiming at small viscosity ν. A reliable a posteriori error estimation is derived for the defect correction method. Finally, two numerical examples validate our theoretical results. The first example is a problem with known solution and the second example is a physical model of square cavity stationary flow. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2013
Databáze:	OpenAIRE
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