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A posteriori error estimation for non-conforming quadrilateral finite elements

Ainsworth, M. (2005) A posteriori error estimation for non-conforming quadrilateral finite elements. International Journal of Numerical Analysis and Modeling, 2 (1). pp. 1-18. ISSN 1705-5105

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Abstract

We derive an a posteriori error estimator giving a computable upper bound on the error in the energy norm for finite element approximation using the non-conforming rotated Q1 finite element. It is shown that the estimator also gives a local lower bound up to a generic constant. The bounds do not require additional assumptions on the regularity of the true solution of the underlying elliptic problem and, the mesh is only required to be locally quasi- uniform and may consist of general, non-a±ne convex quadrilateral elements.

Item type: Article
ID code: 2221
Keywords: posteriori error estimation, non-conforming finite elements, rotated Q1 element, non-affine quadrilateral elements, numerical analysis, Mathematics, Physics, Numerical Analysis
Subjects: Science > Mathematics
Science > Physics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 01 Dec 2006
    Last modified: 04 Sep 2014 12:55
    URI: http://strathprints.strath.ac.uk/id/eprint/2221

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