Optimized Schwarz Methods for Anisotropic Diffusion with Discrete Duality Finite Volume Discretizations

Erik Burman, Daniel Kessler, Jacques Rappaz Convergence of the finite element method applied to an anisotropic phase-field model.. Volume 11, n o 1

Keywords: monotone, finite volume methods, heterogeneous anisotropic diffusion, multi-point flux approximation, convergence

We establish some optimal a priori error estimate on some variants of the eXtended Finite Element Method (Xfem), namely the Xfem with a cut-off function and the stan- dard Xfem with

A note on some microlocal estimates used to prove the convergence of splitting methods relying on pseudo-spectral discretizations... THE CONVERGENCE OF SPLITTING METHODS RELYING

Then we show the convergence of a sequence of discrete solutions obtained with more and more refined discretiza- tions, possibly up to the extraction of a subsequence, to a

20 2.2 Optimized Schwarz Waveform Relaxation Methods For One Dimensional Heat Equation With First Order Transmission

Our paper is organized as follows: in Section 2, we present a class of non-overlapping op- timized Schwarz methods for fully anisotropic diffusion at the continuous level, prove

We discretise the diffu- sion terms in (1) using the implicit Euler scheme in time and the so-called Discrete Duality Finite Volume (DDFV) schemes in space.. The DDFV schemes were