Exterior problem of the Darwin model and its numerical computation
School of Mathematical Sciences, Peking University, Beijing 100871, PR China. firstname.lastname@example.org.
2 School of Mathematical Sciences, Peking University, PR China. Division of Applied Math., Brown University, RI 02912, USA. email@example.com.
Revised: 21 March 2003
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.
Mathematics Subject Classification: 35Q60 / 65N30 / 35J50
Key words: Darwin model / Maxwell's equations / exterior problem / infinite element method.
© EDP Sciences, SMAI, 2003