Residual‐based a posteriori error estimator for the mixed finite element approximation of the biharmonic equation | Zendy

Gudi Thirupathi | Zendy

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Residual‐based a posteriori error estimator for the mixed finite element approximation of the biharmonic equation

Author(s) -

Gudi Thirupathi

Publication year - 2011

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.20524

Subject(s) - biharmonic equation , estimator , mathematics , residual , a priori and a posteriori , finite element method , partial differential equation , method of mean weighted residuals , mathematical analysis , algorithm , statistics , thermodynamics , boundary value problem , philosophy , physics , epistemology , galerkin method

A reliable and efficient residual‐based a posteriori error estimator is derived for the Ciarlet‐Raviart mixed finite element method for the biharmonic equation on polygonal domains. The performance of the estimator is illustrated by numerical experiments. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2011

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