Premium
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