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Exterior problem of the Darwin model and its numerical computation

Published online by Cambridge University Press:  15 April 2004

Lung-an Ying  and
Fengyan Li
Lung-an Ying
Affiliation:
School of Mathematical Sciences, Peking University, Beijing 100871, PR China. yingla@math.pku.edu.cn.
Fengyan Li
Affiliation:
School of Mathematical Sciences, Peking University, PR China. Division of Applied Math., Brown University, RI 02912, USA. fengyan-l@cfm.brown.edu.
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Abstract

In this paper, we study the exterior boundary value problems of the Darwin model to the Maxwell's equations. The variational formulation is established and the existence and uniqueness is proved. We use the infinite element method to solve the problem, only a small amount of computational work is needed. Numerical examples are given as well as a proof of convergence.

Keywords

Darwin modelMaxwell's equationsexterior probleminfinite element method.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 3 , May 2003 , pp. 515 - 532
Copyright
© EDP Sciences, SMAI, 2003

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