A posteriori error analysis of nonconforming finite volume elements for general second‐order elliptic PDEs | Zendy

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A posteriori error analysis of nonconforming finite volume elements for general second‐order elliptic PDEs

Author(s) -

Yang Min

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.20520

Subject(s) - mathematics , a priori and a posteriori , estimator , finite element method , discretization , finite volume method , partial differential equation , discretization error , order (exchange) , mathematical analysis , statistics , thermodynamics , philosophy , physics , epistemology , finance , economics

In this article, we study the a posteriori H 1 and L 2 error estimates for Crouzeix‐Raviart nonconforming finite volume element discretization of general second‐order elliptic problems in ℝ 2 . The error estimators yield global upper and local lower bounds. Finally, numerical experiments are performed to illustrate the theoretical findings. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2011

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