Superconvergence of Least-Squares Mixed Finite Element Approximations Over Quadrilaterals

Yanping Chen () and Manping Zhang ()
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Yanping Chen: Xiangtan University, ICAM
Manping Zhang: Xiangtan University, ICAM

A chapter in Recent Progress in Computational and Applied PDES, 2002, pp 135-144 from Springer

Abstract: Abstract A least-squares mixed finite element method over quadrilaterals is formulated and applied for a class of second order elliptic problems. A superconvergence result is established for approximate solutions. The superconvergence indicates an accuracy of O(h r+2) for the least-squares mixed finite element approximation if Raviart-Thomas elements of order r are employed with optimal error estimate of O(h r+1).

Keywords: superconvergence; elliptic problem; interpolation projection; least-squares mixed finite element; quadrilateral (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-0113-8_9

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DOI: 10.1007/978-1-4615-0113-8_9

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