Geodesic
Analysis of a non-standard mixed finite element method with applications to superconvergence
Applications of Mathematics, Tome 54 (2009) no. 3, pp. 225-235.

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We show that a non-standard mixed finite element method proposed by Barrios and Gatica in 2007, is a higher order perturbation of the least-squares mixed finite element method. Therefore, it is also superconvergent whenever the least-squares mixed finite element method is superconvergent. Superconvergence of the latter was earlier investigated by Brandts, Chen and Yang between 2004 and 2006. Since the new method leads to a non-symmetric system matrix, its application seems however more expensive than applying the least-squares mixed finite element method.
DOI : 10.1007/s10492-009-0014-8
Classification : 35J25, 65N12, 65N15, 65N30
Keywords: least-squares mixed finite element method; non-standard mixed finite element method; superconvergence; supercloseness 
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Brandts, Jan H. Analysis of a non-standard mixed finite element method with applications to superconvergence. Applications of Mathematics, Tome 54 (2009) no. 3, pp. 225-235. doi : 10.1007/s10492-009-0014-8. http://geodesic.mathdoc.fr/articles/10.1007/s10492-009-0014-8/

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