Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism

Details Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism

2009-10-06

arxiv.org/abs/0910.1018v2

Mathematics

Numerical Analysis

Scientific paper

In this paper we prove uniform a priori estimates for transmission problems with constant coefficients on two subdomains, with a special emphasis for the case when the ratio between these coefficients is large. In the most part of the work, the interface between the two subdomains is supposed to be Lipschitz. We first study a scalar transmission problem which is handled through a converging asymptotic series. Then we derive uniform a priori estimates for Maxwell transmission problem set on a domain made up of a dielectric and a highly conducting material. The technique is based on an appropriate decomposition of the electric field, whose gradient part is estimated thanks to the first part. As an application, we develop an argument for the convergence of an asymptotic expansion as the conductivity tends to infinity.

Affiliated with

Also associated with

No associations

Rating

Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-357788