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Displaying similar documents to “Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell’s equations∗”

Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell’s equations

Ludovic Moya (2012)

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

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In this paper we study the temporal convergence of a locally implicit discontinuous Galerkin method for the time-domain Maxwell’s equations modeling electromagnetic waves propagation. Particularly, we wonder whether the method retains its second-order ordinary differential equation (ODE) convergence under stable simultaneous space-time grid refinement towards the true partial differential equation (PDE) solution. This is not clear due to the component splitting which can introduce order...

A brief introduction to homogenization and miscellaneous applications

Grégoire Allaire (2012)

ESAIM: Proceedings

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This paper is a set of lecture notes for a short introductory course on homogenization. It covers the basic tools of periodic homogenization (two-scale asymptotic expansions, the oscillating test function method and two-scale convergence) and briefly describes the main results of the more general theory of −  or −convergence. Several applications of the method are given: derivation of Darcy’s law for flows in porous media, derivation...

Variational approximation for detecting point-like target problems

Gilles Aubert, Daniele Graziani (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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The aim of this paper is to provide a rigorous variational formulation for the detection of points in -d biological images. To this purpose we introduce a new functional whose minimizers give the points we want to detect. Then we define an approximating sequence of functionals for which we prove the -convergence to the initial one.