Computing eigenvalues of the Laplacian on rough domains

We prove a general Mosco convergence theorem for bounded Euclidean domains satisfying a set of mild geometric hypotheses. For bounded domains, this notion implies norm-resolvent convergence for the Dirichlet Laplacian which in turn ensures spectral convergence. A key element of the proof is the deve...

Ausführliche Beschreibung

Bibliographische Detailangaben

Hauptverfasser:	Rösler, Frank, Stepanenko, Alexei
Format:	Artikel
Sprache:	eng
Schlagworte:	Computer Science - Numerical Analysis Mathematics - Analysis of PDEs Mathematics - Numerical Analysis Mathematics - Spectral Theory
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!