Page 1

Displaying 1 – 3 of 3

Showing per page

Discrete compactness for a discontinuous Galerkin approximation of Maxwell's system

Emmanuel Creusé, Serge Nicaise (2006)

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper we prove the discrete compactness property for a discontinuous Galerkin approximation of Maxwell's system on quite general tetrahedral meshes. As a consequence, a discrete Friedrichs inequality is obtained and the convergence of the discrete eigenvalues to the continuous ones is deduced using the theory of collectively compact operators. Some numerical experiments confirm the theoretical predictions.

Domain decomposition algorithms for time-harmonic Maxwell equations with damping

Ana Alonso Rodriguez, Alberto Valli (2001)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Three non-overlapping domain decomposition methods are proposed for the numerical approximation of time-harmonic Maxwell equations with damping (i.e., in a conductor). For each method convergence is proved and, for the discrete problem, the rate of convergence of the iterative algorithm is shown to be independent of the number of degrees of freedom.

Domain Decomposition Algorithms for Time-Harmonic Maxwell Equations with Damping

Ana Alonso Rodriguez, Alberto Valli (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Three non-overlapping domain decomposition methods are proposed for the numerical approximation of time-harmonic Maxwell equations with damping (i.e., in a conductor). For each method convergence is proved and, for the discrete problem, the rate of convergence of the iterative algorithm is shown to be independent of the number of degrees of freedom.

Currently displaying 1 – 3 of 3

Page 1