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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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Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method
Advances in Applied Mathematics and Mechanics, 2017AbstractIn 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. The DRBEM is a numerical method to transform the domain integrals into the boundary only integrals by
Zakerdoost, Hassan +2 more
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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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The dual boundary element method for thermoelastic crack problems
International Journal of Fracture, 1994A boundary element formulation, which does not require domain discretization and allows a single region analysis, is presented for steady-state thermoelastic crack problems. The problems are solved by the dual boundary element method which uses displacement and temperature equations on one crack surface and traction and flux equations on the other ...
N. N. V. Prasad +2 more
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The dual reciprocity boundary element method for spontaneous ignition
International Journal for Numerical Methods in Engineering, 1990AbstractThis 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
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Dual boundary element methods for three-dimensional dynamic crack problems
The Journal of Strain Analysis for Engineering Design, 1999In this paper, three formulations of a single-region dual boundary element method for dynamic crack problems are presented. The dynamic stress intensity factors are calculated by crack opening displacement. These methods are developed to study the dynamic behaviour of stationary cracks in threedimensional analysis.
P H Wen, M H Aliabadi, A Young
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Comparison of the basic and the discontinuity formulation of the 3D-dual boundary element method
Engineering Analysis with Boundary Elements, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Partheymüller, P., Haas, M., Kuhn, G.
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Cracked plate analysis with the dual boundary element method and Williams׳ eigenexpansion
Engineering Analysis with Boundary Elements, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Caicedo, A. Portela
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The dual boundary element method: Effective implementation for crack problems
International Journal for Numerical Methods in Engineering, 1992AbstractThe present paper is concerned with the effective numerical implementation of the two‐dimensional dual boundary element method, for linear elastic crack problems. The dual equations of the method are the displacement and the traction boundary integral equations.
Portela, A. +2 more
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Computers & Mathematics with Applications, 2022
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Rongjie Huang +5 more
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Rongjie Huang +5 more
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