Generalized linear estimate of functions of random matrix arguments
Pavel Kovanic (1974)
Kybernetika
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Pavel Kovanic (1974)
Kybernetika
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Segeth, Karel
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A lot of papers and books analyze analytical a posteriori error estimates from the point of view of robustness, guaranteed upper bounds, global efficiency, etc. At the same time, adaptive finite element methods have acquired the principal position among algorithms for solving differential problems in many physical and technical applications. In this survey contribution, we present and compare, from the viewpoint of adaptive computation, several recently published error estimation procedures...
Valdman, Jan (2009)
Advances in Numerical Analysis
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W. Gawronski (1977)
Applicationes Mathematicae
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M. V. Ćelić (1989)
Matematički Vesnik
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Jan Brandts (1999)
Applications of Mathematics
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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.