Auxiliary source point method: the inhomogeneous and nonlinear laplace equation

H. M. Cekirge

doi:10.1016/0264-682X(88)90034-2

Auxiliary source point method: the inhomogeneous and nonlinear laplace equation

H. M. Cekirge^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The Auxiliary Source Method, (ASP), Cekirge and Lehr¹, is extended for the solution of inhomogenous and nonlinear elliptic equations. A set of localized internal functions (LIFT) Brebbia² is added to the functions of the ASP method to take care of the inhomogeneous part of the elliptic partial differential equation. Since the solution of the inhomogeneous equation is simplified to a great extent, an iteration technique for nonlinear cases is included. An example for the inhomogenous solution is presented to illustrate the method in the paper.

Original language	English
Pages (from-to)	49-52
Number of pages	4
Journal	Engineering Analysis
Volume	5
Issue number	1
DOIs	https://doi.org/10.1016/0264-682X(88)90034-2
State	Published - Mar 1988

ASJC Scopus subject areas

General Engineering

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title = "Auxiliary source point method: the inhomogeneous and nonlinear laplace equation",

abstract = "The Auxiliary Source Method, (ASP), Cekirge and Lehr1, is extended for the solution of inhomogenous and nonlinear elliptic equations. A set of localized internal functions (LIFT) Brebbia2 is added to the functions of the ASP method to take care of the inhomogeneous part of the elliptic partial differential equation. Since the solution of the inhomogeneous equation is simplified to a great extent, an iteration technique for nonlinear cases is included. An example for the inhomogenous solution is presented to illustrate the method in the paper.",

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year = "1988",

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T1 - Auxiliary source point method

T2 - the inhomogeneous and nonlinear laplace equation

AU - Cekirge, H. M.

PY - 1988/3

Y1 - 1988/3

N2 - The Auxiliary Source Method, (ASP), Cekirge and Lehr1, is extended for the solution of inhomogenous and nonlinear elliptic equations. A set of localized internal functions (LIFT) Brebbia2 is added to the functions of the ASP method to take care of the inhomogeneous part of the elliptic partial differential equation. Since the solution of the inhomogeneous equation is simplified to a great extent, an iteration technique for nonlinear cases is included. An example for the inhomogenous solution is presented to illustrate the method in the paper.

AB - The Auxiliary Source Method, (ASP), Cekirge and Lehr1, is extended for the solution of inhomogenous and nonlinear elliptic equations. A set of localized internal functions (LIFT) Brebbia2 is added to the functions of the ASP method to take care of the inhomogeneous part of the elliptic partial differential equation. Since the solution of the inhomogeneous equation is simplified to a great extent, an iteration technique for nonlinear cases is included. An example for the inhomogenous solution is presented to illustrate the method in the paper.

UR - https://www.scopus.com/pages/publications/0023983463

U2 - 10.1016/0264-682X(88)90034-2

DO - 10.1016/0264-682X(88)90034-2

M3 - Article

AN - SCOPUS:0023983463

SN - 0264-682X

VL - 5

SP - 49

EP - 52

JO - Engineering Analysis

JF - Engineering Analysis

IS - 1

ER -

Auxiliary source point method: the inhomogeneous and nonlinear laplace equation

Abstract

ASJC Scopus subject areas

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