Robust a posteriori error estimates for finite element discretizations of the heat equation with discontinuous coefficients

Stefano Berrone

Displaying similar documents to “Robust a posteriori error estimates for finite element discretizations of the heat equation with discontinuous coefficients”

Stabilization methods in relaxed micromagnetism

Stefan A. Funken, Andreas Prohl (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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The magnetization of a ferromagnetic sample solves a non-convex variational problem, where its relaxation by convexifying the energy density resolves relevant macroscopic information. The numerical analysis of the relaxed model has to deal with a constrained convex but degenerated, nonlocal energy functional in mixed formulation for magnetic potential and magnetization . In [C. Carstensen and A. Prohl, (2001) 65–99], the conforming -element in spatial dimensions...

Finite element approximations of a glaciology problem

Sum S. Chow, Graham F. Carey, Michael L. Anderson (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this paper we study a model problem describing the movement of a glacier under Glen's flow law and investigated by Colinge and Rappaz [Colinge and Rappaz, (1999) 395–406]. We establish error estimates for finite element approximation using the results of Chow [Chow, (1992) 769–780] and Liu and Barrett [Liu and Barrett, (1996) 98–106] and give an analysis of the convergence of the successive approximations used in [Colinge and Rappaz,...

error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems

Alexandre Ern, Sébastien Meunier (2008)

ESAIM: Mathematical Modelling and Numerical Analysis

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We analyze Euler-Galerkin approximations (conforming finite elements in space and implicit Euler in time) to coupled PDE systems in which one dependent variable, say , is governed by an elliptic equation and the other, say , by a parabolic-like equation. The underlying application is the poroelasticity system within the quasi-static assumption. Different polynomial orders are used for the - and -components to obtain optimally convergent bounds for all the terms in the error energy...