Boundary integral formulations of eigenvalue problems for elliptic differential operators with singular interactions and their numerical approximation by boundary element methods

Publikation: Beitrag in einer FachzeitschriftArtikel

Abstract

In this paper the discrete eigenvalues of elliptic second order differential operators in L 2 (R n), n ∈ N, with singular δ-and δ -interactions supported on hypersurfaces are stud-ied. We show the self-adjointness of these operators and derive equivalent formulations for the eigenvalue problems involving boundary integral operators. These formulations are suitable for the numerical computations of the discrete eigenvalues and the corresponding eigenfunctions by boundary element methods. We provide convergence results and show numerical examples.

Originalspracheenglisch
AufsatznummerOaM-14-39
Seiten (von - bis)555-599
Seitenumfang45
FachzeitschriftOperators and Matrices
Jahrgang14
Ausgabenummer3
DOIs
PublikationsstatusVeröffentlicht - Sep 2020

ASJC Scopus subject areas

  • Analyse
  • !!Algebra and Number Theory

Fingerprint

Untersuchen Sie die Forschungsthemen von „Boundary integral formulations of eigenvalue problems for elliptic differential operators with singular interactions and their numerical approximation by boundary element methods“. Zusammen bilden sie einen einzigartigen Fingerprint.

Dieses zitieren