The Finite Element Method for Parabolic Equations. II. A Posteriori Error Estimation and Adaptive Approach
I. Babuska, M. Bieterman (1982)
Numerische Mathematik
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I. Babuska, M. Bieterman (1982)
Numerische Mathematik
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I. Babuska, M. Bieterman (1982)
Numerische Mathematik
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Slimane Adjerid, Joseph E. Flaherty (1988)
Numerische Mathematik
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Mark Ainsworth, J. Tinsley Oden (1993)
Numerische Mathematik
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J. Meinguet, J. Descloux (1976/1977)
Numerische Mathematik
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Robert D. Skeel (1986)
Numerische Mathematik
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Feng Gao (1989/90)
Numerische Mathematik
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Karel Segeth (1993)
Applications of Mathematics
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The adjustment of one-dimensional space grid for a parabolic partial differential equation solved by the finite element method of lines is considered in the paper. In particular, the approach based on a posteriori error indicators and error estimators is studied. A statement on the rate of convergence of the approximation of error by estimator to the error in the case of a system of parabolic equations is presented.
E. Gekeler (1978)
Numerische Mathematik
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C. Vuik (1990)
Numerische Mathematik
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