Eigenpair Computation for Two-Dimensional Heat Conduction Singularities

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Here we present a numerical procedure based on the p-version of the finite element method for computing efficiently and reliably approximations to the eigenpairs associated with two-dimensional heat conduction singular points. The proposed method, called the “modified Steklov method,” is general, that is, applicable to singularities associated with corners, nonisotropic multimaterial interfaces, and abrupt changes in boundary conditions. We introduce the method and demonstrate some of its main characteristics on several numerical examples.

Original languageEnglish
Title of host publicationInterdisciplinary Applied Mathematics
PublisherSpringer Nature
Pages47-72
Number of pages26
DOIs
StatePublished - 2012
Externally publishedYes

Publication series

NameInterdisciplinary Applied Mathematics
Volume37
ISSN (Print)0939-6047
ISSN (Electronic)2196-9973

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