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)
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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.