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Solution of variable coefficients PDEs by means of BEM and perturbation technique

Conference:

Abstract

Numerical solution of variable coefficients PDEs (Partial Differential Equations) by the BEM (Boundary Element Method) is quite difficult as the Green function is unknown and not general. In this paper, a procedure is presented that enables the solution of some types of non-constant coefficients PDEs by using the standard Green function used for the Laplace equation. This is achieved by coupling the BEM and perturbation technique. After stating the procedure, the steady state incomprensible lubricaiton problem for sliding bearings is numerically solved to show the efficiency and accuracy of the proposed technique.
Authors:
Publication Date:
Dec 31, 1991
Product Type:
Conference
Report Number:
ETDE-IT-92-104; CONF-9108179-2
Reference Number:
SCA: 990200; 420200; PA: ITA-92:001507; SN: 93000910621
Resource Relation:
Conference: 13. Boundary element methods (BEM) conference,Tulsa, OK (United States),21-23 Aug 1991; Other Information: PBD: 1991
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; 42 ENGINEERING; PARTIAL DIFFERENTIAL EQUATIONS; NUMERICAL SOLUTION; BEARINGS; DESIGN; GREEN FUNCTION; LAPLACE EQUATION; PERTURBATION THEORY; ACCURACY; BOUNDARY CONDITIONS; 990200; 420200; MATHEMATICS AND COMPUTERS; FACILITIES, EQUIPMENT, AND TECHNIQUES
OSTI ID:
10109811
Research Organizations:
Ente Nazionale per l`Energia Elettrica, Milan (Italy). Centro di Ricerca Idraulica e Strutturale
Country of Origin:
Italy
Language:
English
Other Identifying Numbers:
Other: ON: DE93748437; TRN: 92:001507
Availability:
OSTI; NTIS (US Sales Only)
Submitting Site:
ITA
Size:
10 p.
Announcement Date:
Jun 30, 2005

Conference:

Citation Formats

Rangogni, R. Solution of variable coefficients PDEs by means of BEM and perturbation technique. Italy: N. p., 1991. Web.
Rangogni, R. Solution of variable coefficients PDEs by means of BEM and perturbation technique. Italy.
Rangogni, R. 1991. "Solution of variable coefficients PDEs by means of BEM and perturbation technique." Italy.
@misc{etde_10109811,
title = {Solution of variable coefficients PDEs by means of BEM and perturbation technique}
author = {Rangogni, R}
abstractNote = {Numerical solution of variable coefficients PDEs (Partial Differential Equations) by the BEM (Boundary Element Method) is quite difficult as the Green function is unknown and not general. In this paper, a procedure is presented that enables the solution of some types of non-constant coefficients PDEs by using the standard Green function used for the Laplace equation. This is achieved by coupling the BEM and perturbation technique. After stating the procedure, the steady state incomprensible lubricaiton problem for sliding bearings is numerically solved to show the efficiency and accuracy of the proposed technique.}
place = {Italy}
year = {1991}
month = {Dec}
}