CONVERGENCE OF A FINITE ELEMENT DISCRETIZATION FOR THE LANDAU–LIFSHITZ EQUATIONS IN MICROMAGNETISM-Reference-Cited by-同舟云学术

CONVERGENCE OF A FINITE ELEMENT DISCRETIZATION FOR THE LANDAU–LIFSHITZ EQUATIONS IN MICROMAGNETISM

Published:2006-02 Issue:02 Volume:16 Page:299-316
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

ALOUGES FRANÇOIS¹²,JAISSON PASCAL¹³

Affiliation:

1. Laboratoire de Mathématique, Bat. 425, Université d'Orsay, 91405 Orsay Cedex, France

2. Centre de Mathématiques et de Leurs Applications, Ecole Normale Supérieure de Cachan, 61, av. du Pdt Wilson, 94235, Cachan Cedex, France

3. Laboratoire MAS, Ecole Centrale Paris, Grande voie des vignes, 92295 Chatenay-Mallabry, France

Abstract

In this paper we propose a new space and time finite elements discretization of the Landau–Lifshitz equations which may be readily used for numerical computations. We then prove its convergence to a weak solution in the sense given by Alouges and Soyeur or Labbé in the literature.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202506001169

Reference13 articles.

1. On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness

2. Computation of the demagnetizing potential in micromagnetics using a coupled finite and infinite elements method

3. Finite Elemente

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