Some remarks on the Galerkin approximation of parabolic equations
H. Marcinkowska, A. Szustalewicz (1988)
Applicationes Mathematicae
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Displaying similar documents to “On Galerkin approximations of parabolic equations in time dependent domains”
Some remarks on the Galerkin approximation of parabolic equations
A-priori Error Estimates of Galerkin Backward Differentiation Methods in Time-Inhomogeneous Parabolic Problem.
E. Gekeler (1978)
Numerische Mathematik
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Maximum-Norm Stability and Error Estimates in Galerkin Methods for Parabolic Equations in One Space Variable
V. Thomée, L.B. Wahlbin (1983)
Numerische Mathematik
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A posteriori error estimates of the discontinuous Galerkin method for parabolic problem
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.
Error Estimates for Semidiscrete Galerkin Type Approximations for Semilinear Evolution Equations with Nonsmooth Initial Data.
Hans-Peter Helfrich (1987)
Numerische Mathematik
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Discontinuous Galerkin and the Crouzeix–Raviart element : application to elasticity
Peter Hansbo, Mats G. Larson (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We propose a discontinuous Galerkin method for linear elasticity, based on discontinuous piecewise linear approximation of the displacements. We show optimal order a priori error estimates, uniform in the incompressible limit, and thus locking is avoided. The discontinuous Galerkin method is closely related to the non-conforming Crouzeix–Raviart (CR) element, which in fact is obtained when one of the stabilizing parameters tends to infinity. In the case of the elasticity operator, for...