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On the convergence of the dual reciprocity boundary element method
Engineering Analysis with Boundary Elements, 1994Abstract This paper presents a study of the convergence properties of the dual reciprocity method (DRM). DRM is one of the most popular techniques used to transform volume integrals that arise, for example, from the inhomogeneous term of Poisson's equation, into equivalent boundary integrals in the boundary element method (BEM). The transformation is
T. Yamada, L.C. Wrobel, H. Power
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On the choice of interpolation functions used in the dual-reciprocity boundary-element method
Engineering Analysis with Boundary Elements, 1994Abstract The dual-reciprocity boundary-element method is a very powerful technique for solving general elliptic equations of the type ∇ 2 u = b . In this method, a series of interpolation functions is used to approximate b in order to convert the associated domain integral, which it is necessary to evaluate in a traditional boundary-element ...
Yinglong Zhang, Songping Zhu
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The dual reciprocity boundary element method for the eigenvalue analysis of Helmholtz problems
Advances in Engineering Software and Workstations, 1991Abstract The dual reciprocity method (DRM) is a general technique for taking domain integrals to the boundary in BEM analysis. In this paper it is applied to the eigenvalue analysis of Helmholtz problems. A solution procedure is presented which avoids the complex eigenvalues usually associated with the non-symmetric BEM matrices and which is at the ...
D.P.N. Kontoni +2 more
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Solution of stokes flow problem using dual reciprocity boundary element method
Journal of the Chinese Institute of Engineers, 2001Abstract This paper describes a dual reciprocity boundary element model for the solution of incompressible viscous flows in slow motion, using velocity‐vorticity variables. The method involves the solution of advection‐diffusion type vorticity equations for vorticity whose so‐lenoidal vorticity components are obtained by solving Poisson type equations ...
T.I. Eldho, Der‐Liang Young
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International Journal for Numerical Methods in Fluids, 2000
Summary: This paper describes the solution of a steady-state natural convection problem in porous media by the dual reciprocity boundary element method. The boundary element method for the coupled set of mass, momentum, and energy equations in two dimensions is structured by the fundamental solution of Laplace equation.
Šarler, Božidar +4 more
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Summary: This paper describes the solution of a steady-state natural convection problem in porous media by the dual reciprocity boundary element method. The boundary element method for the coupled set of mass, momentum, and energy equations in two dimensions is structured by the fundamental solution of Laplace equation.
Šarler, Božidar +4 more
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Flow Simulation in Heterogeneous Reservoirs Using the Dual Reciprocity Boundary Element Method and the Green Element Method [PDF]
ECMOR VI - 6th European Conference on the Mathematics of Oil Recovery, 1998 Green's functions are established tools for solving petroleum engineering flow problems. Their utility and rigor was extended to arbitrarily shaped reservoirs using the Boundary Element Method (BEM).
R. Archer, R. N. Home
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The Dual Reciprocity Boundary Element Method (DRBEM) in nonlinear acoustic wave propagation [PDF]
, 2008 In this paper a novel application of the Boundary Element Method (BEM) to nonlinear acoustic field is presented. The resulting integral equations require the evaluation of a domain integral. The Dual Reciprocity Boundary Element Method is used to transfer the domain integral to boundary integrals.
MALLARDO, Vincenzo, M. H. Aliabadi
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A dual-reciprocity boundary element method for axisymmetric thermoelastostatic analysis of nonhomogeneous materials [PDF]
Engineering Analysis With Boundary Elements, 2012 The problem of determining the axisymmetric time-independent temperature and thermoelastic displacement and stress fields in a nonhomogeneous material is solved numerically by using a dual-reciprocity boundary element technique.
W T Ang
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On the boundary element dual reciprocity method
Engineering Analysis with Boundary Elements, 1997In this paper, the boundary element dual reciprocity method (BEDRM) is introduced for the solution of a class of boundary value problems. Convergence analysis of the BEDRM is carried out for Poisson's equation with Dirichlet boundary condition, using some important results on radial basis function approximation.
Bartur Jumarhon, Sia Amini, Ke Chen
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HYBRID APPROXIMATION FUNCTIONS IN THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD
Communications in Numerical Methods in Engineering, 1997This paper addresses the important subject of improving the dual reciprocity boundary element approach without necessarily implementing internal nodes. To this end, the authors adopt the traditional basis functions augmented with appropriate global expansions, called hybrid approximate functions.
Partridge, Paul W., Sensale, Berardi
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