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Keywords:
least-squares mixed finite element method; non-standard mixed finite element method; superconvergence; supercloseness
least-squares mixed finite element method; non-standard mixed finite element method; superconvergence; supercloseness
Summary:
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.
References:
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