A posteriori error estimation and adaptivity in the method of lines with mixed finite elements |
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| Authors: | Jan H. Brandts |
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| Affiliation: | (1) Mathematical Institute, Academy of Sciences, !["Zcaron"]("/content/x764836237j45755/xlarge381.gif") itná 25, 115 67 Praha 1, Czech Republic; present address: Mathematical Institute, Utrecht University, P. O. Box 80.010, 3508 TA Utrecht, The Netherlands |
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| Abstract: | 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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| Keywords: | superconvergence method of lines mixed finite elements a posteriori error estimation adaptive time-stepping adaptive refinement |
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