A Path-Independent Integral and Orthogonality of Eigenfunctions for General Scalar Elliptic Equations in 2-D Domains

Zohar Yosibash

doi:10.1007/978-1-4614-1508-4_19

A Path-Independent Integral and Orthogonality of Eigenfunctions for General Scalar Elliptic Equations in 2-D Domains

Zohar Yosibash

Department of Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Let us consider the general scalar elliptic PDE in two dimensions: (formula presented) which can be more conveniently represented as (formula presented) where Ω is the light gray domain in the vicinity of the singular point bounded by the four boundaries Γ₁-Γ₄ as shown in Figure E.1.

Original language	English
Title of host publication	Interdisciplinary Applied Mathematics
Publisher	Springer Nature
Pages	421-425
Number of pages	5
DOIs	https://doi.org/10.1007/978-1-4614-1508-4_19
State	Published - 1 Jan 2012

Publication series

Name	Interdisciplinary Applied Mathematics
Volume	37
ISSN (Print)	0939-6047
ISSN (Electronic)	2196-9973

ASJC Scopus subject areas

Applied Mathematics
Computational Mathematics
Computational Theory and Mathematics
Management Science and Operations Research

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10.1007/978-1-4614-1508-4_19

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abstract = "Let us consider the general scalar elliptic PDE in two dimensions: (formula presented) which can be more conveniently represented as (formula presented) where Ω is the light gray domain in the vicinity of the singular point bounded by the four boundaries Γ1-Γ4 as shown in Figure E.1.",

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AB - Let us consider the general scalar elliptic PDE in two dimensions: (formula presented) which can be more conveniently represented as (formula presented) where Ω is the light gray domain in the vicinity of the singular point bounded by the four boundaries Γ1-Γ4 as shown in Figure E.1.

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A Path-Independent Integral and Orthogonality of Eigenfunctions for General Scalar Elliptic Equations in 2-D Domains

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