Interior error estimates for semi-discrete Galerkin approximations for parabolic equations
J. A. Nitsche (1981)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Displaying similar documents to “An -Galerkin method for a Stefan problem with a quasilinear parabolic equation in nondivergence form.”
Interior error estimates for semi-discrete Galerkin approximations for parabolic equations
The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type
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.
-convergence of finite element Galerkin approximations for parabolic problems
Joachim A. Nitsche (1979)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Error estimates for distributed parameter identification in parabolic problems with output least squares and Crank-Nicolson method
Tommi Kärkkäinen (1997)
Applications of Mathematics
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The identification problem of a functional coefficient in a parabolic equation is considered. For this purpose an output least squares method is introduced, and estimates of the rate of convergence for the Crank-Nicolson time discretization scheme are proved, the equation being approximated with the finite element Galerkin method with respect to space variables.
Some remarks on the Galerkin approximation of parabolic equations
H. Marcinkowska, A. Szustalewicz (1988)
Applicationes Mathematicae
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Error estimates for the semidiscrete finite element approximation of linear nonlocal parabolic equations.
Jackson, Dennis E. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations
Nikolai Yu. Bakaev, Michel Crouzeix, Vidar Thomée (2006)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In recent years several papers have been devoted to stability and smoothing properties in maximum-norm of finite element discretizations of parabolic problems. Using the theory of analytic semigroups it has been possible to rephrase such properties as bounds for the resolvent of the associated discrete elliptic operator. In all these cases the triangulations of the spatial domain has been assumed to be quasiuniform. In the present paper we show a resolvent estimate, in one and two space...