Analysis of a non-standard mixed finite element method with applications to superconvergence
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| Publication date | 2009 |
| Journal | Applications of Mathematics |
| Volume | Issue number | 54 | 3 |
| Pages (from-to) | 225-235 |
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| Abstract | 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. |
| Document type | Article |
| Published at |
https://doi.org/10.1007/s10492-009-0014-8
(Final published version)
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