Numerical approximation of eigenvalues and of Green's operator for an elliptic boundary value problem
type: Item
instance of: scholarly article
title: Numerical approximation of eigenvalues and of Green's operator for an elliptic boundary value problem
zbMATH Open document ID: 0923.65076
author: F. Lanzara
published in: Calcolo
publication date: 1999-03-28T00:00:00Z
review text: The paper is concerned with the Dirichlet problem for a second-order linear elliptic equation with bounded and measurable coefficients. By using the theory of intermediate operators, methods for the calculus of the Green operator and of the corresponding Green function are given. Lower bounds for the eigenvalues are derived as well. The results are extended also to the nonselfadjoint problem. Numerical experiments are included.
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 1269900
zbMATH Keywords: numerical examples
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: second-order linear elliptic equation
zbMATH Keywords: intermediate operators
zbMATH Keywords: Green function
zbMATH Keywords: eigenvalues
reviewed by: Pavel Burda
MaRDI profile type: Publication
full work available at URL: s100920050009
OpenAlex ID: W2019680544
DOI: 10.1007/S100920050009
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description: scientific article; zbMATH DE number 1269900