1er Symposium canadien en analyse numérique et calcul scientifique
Numerical approximation of the Laplace eigenvalues with mixed boundary data
Nigam, Nilima
Simon Fraser University

In this talk we describe recent progress on numerical strategies for computing the spectrum of the Laplacian in situations where Dirichlet data is prescribed on part of the boundary, and Neumann data is prescribed on the rest. Such problems are known to possess poor regularity, especially if the Dirichlet-Neumann junction occurs at angles of $\geq \pi/2$. We present two numerical strategies- one based on boundary integral solvers, and the other on the use of conforming and non-conforming finite elements - in this context.

Mercredi, 19 juin, 11h30
Salle Des Plaines B