Displaying similar documents to “A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems”

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

Stefano Berrone (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this work we derive error estimates based on equations residuals for the heat equation with discontinuous diffusivity coefficients. The estimates are based on a fully discrete scheme based on conforming finite elements in each time slab and on the A-stable -scheme with 1/2 ≤ ≤ 1. Following remarks of [Picasso, . (1998) 223–237; Verfürth, (2003) 195–212] it is easy to identify a time-discretization error-estimator and a space-discretization error-estimator. In...

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...