Geodesic
Superconvergence of mixed finite element semi-discretizations of two time-dependent problems
Applications of Mathematics, Tome 44 (1999) no. 1, pp. 43-53

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We will show that some of the superconvergence properties for the mixed finite element method for elliptic problems are preserved in the mixed semi-discretizations for a diffusion equation and for a Maxwell equation in two space dimensions. With the help of mixed elliptic projection we will present estimates global and pointwise in time. The results for the Maxwell equations form an extension of existing results. For both problems, our results imply that post-processing and a posteriori error estimation for the error in the space discretization can be performed in the same way as for the underlying elliptic problem.
DOI : 10.1023/A:1022220219953
Classification : 65M60, 65N30, 78M10
Keywords: superconvergence; diffusion equation; Maxwell equations; mixed elliptic projection 
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Brandts, Jan H. Superconvergence of mixed finite element semi-discretizations of two time-dependent problems. Applications of Mathematics, Tome 44 (1999) no. 1, pp. 43-53. doi: 10.1023/A:1022220219953

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