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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Mitsuhiro T. Nakao (1985)
Numerische Mathematik
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Ludwig Kohaupt (1987/88)
Numerische Mathematik
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E. Süli, K.W. Morton, T. Murdoch (1992)
Numerische Mathematik
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Ludwig Kohaupt (1986/87)
Numerische Mathematik
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L. Wahlbin (1974/75)
Numerische Mathematik
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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.
Giles Auchmuty (1992)
Numerische Mathematik
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Dolejší, Vít, Roskovec, Filip
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This paper is concerned with goal-oriented a posteriori error estimates for discontinous Galerkin discretizations of linear elliptic boundary value problems. Our approach combines the Dual Weighted Residual method (DWR) with local weighted least-squares reconstruction of the discrete solution. This technique is used not only for controlling the discretization error, but also to track the influence of the algebraic errors. We illustrate the performance of the proposed method by numerical...
V. Thomée, L.B. Wahlbin (1983)
Numerische Mathematik
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