32,813 research outputs found
Generating Equidistributed Meshes in 2D via Domain Decomposition
In this paper we consider Schwarz domain decomposition applied to the
generation of 2D spatial meshes by a local equidistribution principle. We
briefly review the derivation of the local equidistribution principle and the
appropriate choice of boundary conditions. We then introduce classical and
optimized Schwarz domain decomposition methods to solve the resulting system of
nonlinear equations. The implementation of these iterations are discussed, and
we conclude with numerical examples to illustrate the performance of the
approach
Billiards and boundary traces of eigenfunctions
This is a report for the 2003 Forges Les Eaux PDE conference on recent
results with A. Hassell on quantum ergodicity of boundary traces of
eigenfunctions on domains with ergodic billiards, and of work in progress with
Hassell and Sogge on norms of boundary traces. Related work by Burq, Grieser
and Smith-Sogge is also discussed.Comment: To appear in the proceedings of the 2003 Forges Les Eaux PDE
conferenc
- …