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Keywords:
superconvergence; method of lines; mixed finite elements; a posteriori error estimation; adaptive time-stepping; adaptive refinement
superconvergence; method of lines; mixed finite elements; a posteriori error estimation; adaptive time-stepping; adaptive refinement
Summary:
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.
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