Geodesic
A posteriori error estimation and adaptivity in the method of lines with mixed finite elements
Applications of Mathematics, Tome 44 (1999) no. 6, pp. 407-419.

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We will investigate the possibility to use superconvergence results for the mixed finite element discretizations of some time-dependent partial differential equations in the construction of a posteriori error estimators. Since essentially the same approach can be followed in two space dimensions, we will, for simplicity, consider a model problem in one space dimension.
DOI : 10.1023/A:1022268703907
Classification : 65M15, 65M20, 65M60
Keywords: superconvergence; method of lines; mixed finite elements; a posteriori error estimation; adaptive time-stepping; adaptive refinement 
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Brandts, Jan H. A posteriori error estimation and adaptivity in the method of lines with mixed finite elements. Applications of Mathematics, Tome 44 (1999) no. 6, pp. 407-419. doi : 10.1023/A:1022268703907. http://geodesic.mathdoc.fr/articles/10.1023/A:1022268703907/

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