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Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method

Advances in Applied Mathematics and Mechanics, 2017
Summary: In this work we utilize the boundary integral equation and the Dual Reciprocity Boundary Element Method (DRBEM) for the solution of the steady state convection-diffusion-reaction equations with variable convective coefficients in two-dimension.
Zakerdoost, Hassan   +2 more
openaire   +2 more sources

The dual reciprocity boundary element method for spontaneous ignition

International Journal for Numerical Methods in Engineering, 1990
AbstractThis paper studies the non‐linear heat conduction problem of spontaneous ignition of a reactive solid by using the dual reciprocity formulation of the boundary element method. First, critical values of the Frank‐Kamenetskii parameter δ are computed for some common geometrical shapes.
Paul W. Partridge, Luiz C. Wrobel
openaire   +1 more source

The use of dual reciprocity boundary element method in coupled thermoviscoelasticity

Computer Methods in Applied Mechanics and Engineering, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baranoglu, Besim, Mengi, Yalcin
openaire   +2 more sources

Modal analysis of acoustic enclosures by dual reciprocity–boundary element method.

The Journal of the Acoustical Society of America, 2010
This work presents a modal analysis of acoustic enclosures by dual reciprocity–boundary element method (DR-BEM). The dual reciprocity formulation allows the use of known Laplace fundamental solutions. The boundary element method possesses the main characteristic that reduces the dimension of the problem upon the discretization of the boundary to ...
Helvio P. Mollinedo   +3 more
openaire   +1 more source

DUAL RECIPROCITY BOUNDARY ELEMENT METHOD FOR THE TIME‐DEPENDENT STOKES FLOWS

International Journal of Numerical Methods for Heat & Fluid Flow, 1993
This paper presents a boundary element formulation for the transient Stokes equations in which the well known closed form fundamental solution to the steady Stokes equations is employed and the time derivative is taken to the boundary with dual reciprocity method.
HENRY POWER, PAUL W. PARTRIDGE
openaire   +1 more source

Transient heat conduction in rolling/sliding components by a dual reciprocity boundary element method [PDF]

open access: yesInternational Journal of Heat and Mass Transfer, 2009
A transfer matrix method associated with the dual reciprocity boundary element method (DRBEM) is developed for the study of transient heat conduction problems in presence of moving heat sources.
M M Khonsari
exaly   +2 more sources

Effluent Transport on the Solent by the Boundary Element Dual Reciprocity Method

1992
The Dual Reciprocity Method is a well established technique for taking domain integrals to the boundary in Boundary Element analysis. It has been successfully applied to Diffusion Convection analysis on rectangular channels in a series of recent papers.
P. W. Partridge, C. A. Brebbia
openaire   +1 more source

Dual Reciprocity Boundary Element Method for Heterogeneous Porous Media

1992
A solution of steady-state Darcy’s flow in heterogeneous porous media is developed by means of the Dual Reciprocity Boundary Element Method (DRBEM). The governing equation is reduced to a Poisson-type equation involving a nonlinear non-homogeneous term.
K. El Harrouni   +3 more
openaire   +1 more source

Improvement on dual reciprocity boundary element method for equations with convective terms

Communications in Numerical Methods in Engineering, 1994
AbstractThe dual reciprocity boundary element method, first proposed by Nardini and Brebbia (1982, 1985), is a powerful technique for solving elliptic partial differential equations. Adopting this approach, a singular volume integral, which needs to be evaluated with a traditional boundary element method, can be converted into a boundary integral ...
Zhu, Songping, Zhang, Yinglong
openaire   +1 more source

A dual reciprocity boundary element method for photothermal interactions in laser-induced thermotherapy

International Journal of Heat and Mass Transfer, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Jianhua, Zhang, Yuwen, Chen, J. K.
openaire   +1 more source

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