A-priori Error Estimates of Galerkin Backward Differentiation Methods in Time-Inhomogeneous Parabolic Problem.
E. Gekeler (1978)
Numerische Mathematik
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E. Gekeler (1978)
Numerische Mathematik
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O. Axelsson (1977)
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Hans-Peter Helfrich (1987)
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Slimane Adjerid, Joseph E. Flaherty (1988)
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L. Wahlbin (1974/75)
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A.K. Aziz, M. Schneider, A. Werschulz (1980)
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Yan Ping Lin, Tie Zhu Zhang (1991)
Applications of Mathematics
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In this paper we first study the stability of Ritz-Volterra projection (see below) and its maximum norm estimates, and then we use these results to derive some error estimates for finite element methods for parabolic integro-differential equations.
Šebestová, Ivana, Dolejší, Vít
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We deal with a posteriori error estimates of the discontinuous Galerkin method applied to the nonstationary heat conduction equation. The problem is discretized in time by the backward Euler scheme and a posteriori error analysis is based on the Helmholtz decomposition.
H. Marcinkowska, A. Szustalewicz (1988)
Applicationes Mathematicae
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Konstantinos Chrysafinos, Sotirios P. Filopoulos, Theodosios K. Papathanasiou (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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Space-time approximations of the FitzHugh–Nagumo system of coupled semi-linear parabolic PDEs are examined. The schemes under consideration are discontinuous in time but conforming in space and of arbitrary order. Stability estimates are presented in the natural energy norms and at arbitrary times, under minimal regularity assumptions. Space-time error estimates of arbitrary order are derived, provided that the natural parabolic regularity...