Some remarks on the Galerkin approximation of parabolic equations
H. Marcinkowska, A. Szustalewicz (1988)
Applicationes Mathematicae
Similarity:
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
Similarity:
Maximum-Norm Stability and Error Estimates in Galerkin Methods for Parabolic Equations in One Space Variable
V. Thomée, L.B. Wahlbin (1983)
Numerische Mathematik
Similarity:
A posteriori error estimates of the discontinuous Galerkin method for parabolic problem
Šebestová, Ivana, Dolejší, Vít
Similarity:
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
Similarity:
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
Similarity:
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...
Galerkin time-stepping methods for nonlinear parabolic equations
Georgios Akrivis, Charalambos Makridakis (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
We consider discontinuous as well as continuous Galerkin methods for the time discretization of a class of nonlinear parabolic equations. We show existence and local uniqueness and derive optimal order optimal regularity error estimates. We establish the results in an abstract Hilbert space setting and apply them to a quasilinear parabolic equation.