An -Galerkin method for a Stefan problem with a quasilinear parabolic equation in nondivergence form.
Pani, A.K., Das, P.C. (1987)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Error estimates for distributed parameter identification in parabolic problems with output least squares and Crank-Nicolson method”
An -Galerkin method for a Stefan problem with a quasilinear parabolic equation in nondivergence form.
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.
Grid adjustment based on a posteriori error estimators
Karel Segeth (1993)
Applications of Mathematics
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The adjustment of one-dimensional space grid for a parabolic partial differential equation solved by the finite element method of lines is considered in the paper. In particular, the approach based on a posteriori error indicators and error estimators is studied. A statement on the rate of convergence of the approximation of error by estimator to the error in the case of a system of parabolic equations is presented.
Some remarks on the Galerkin approximation of parabolic equations
H. Marcinkowska, A. Szustalewicz (1988)
Applicationes Mathematicae
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Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples
Dominique Chapelle, Asven Gariah, Jacques Sainte-Marie (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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We propose a numerical analysis of proper orthogonal decomposition (POD) model reductions in which a priori error estimates are expressed in terms of the projection errors that are controlled in the construction of POD bases. These error estimates are derived for generic parabolic evolution PDEs, including with non-linear Lipschitz right-hand sides, and for wave-like equations. A specific projection continuity norm appears in the estimates and – whereas a general uniform continuity bound...
Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples
Dominique Chapelle, Asven Gariah, Jacques Sainte-Marie (2012)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We propose a numerical analysis of proper orthogonal decomposition (POD) model reductions in which a priori error estimates are expressed in terms of the projection errors that are controlled in the construction of POD bases. These error estimates are derived for generic parabolic evolution PDEs, including with non-linear Lipschitz right-hand sides, and for wave-like equations. A specific projection continuity norm appears in the estimates and – whereas a general uniform continuity bound...