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Axisymmetric polyharmonic spline approximation in the dual reciprocity method
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2021AbstractThe paper is devoted to developing the dual reciprocity boundary element method for axisymmetric problems based on usage of axisymmetric polyharmonic splines. The axisymmetric polyharmonic spline is introduced as a linear combination of polyharmonic radial basic functions and polynomial terms.
Artem Karaiev, Elena Strelnikova
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Application of dual reciprocity method to plates and shells
Engineering Analysis with Boundary Elements, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen, P. H., Aliabadi, M. H., Young, A.
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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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PDE centres enhancement in the Localized Regular Dual Reciprocity Method
Engineering Analysis with Boundary Elements, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Caruso, N., Portapila, M., Power, H.
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Trefftz‐based dual reciprocity method for hyperbolic boundary value problems
International Journal for Numerical Methods in Engineering, 2015SummaryA new dual reciprocity‐type approach to approximating the solution of non‐homogeneous hyperbolic boundary value problems is presented in this paper. Typical variants of the dual reciprocity method obtain approximate particular solutions of boundary value problems in two steps.
Moldovan, I. D., Radu, L.
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Towards criteria for selecting approximation functions in the Dual Reciprocity Method
Engineering Analysis with Boundary Elements, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dual reciprocity hybrid boundary node method for nonlinear problems
Engineering Analysis with Boundary Elements, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan, Fei +5 more
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Numerical Methods for Partial Differential Equations, 2022
We apply a boundary element dual reciprocity method (DRBEM) to the numerical solution of the forward–backward heat equation in a two‐dimensional case. The method is employed for the spatial variable via the fundamental solution of the Laplace equation ...
Kamal Shanazari, S. Banei
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We apply a boundary element dual reciprocity method (DRBEM) to the numerical solution of the forward–backward heat equation in a two‐dimensional case. The method is employed for the spatial variable via the fundamental solution of the Laplace equation ...
Kamal Shanazari, S. Banei
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Solar Energy, 2019
In this paper, heat transfer in an absorbing plate of a flat plate solar collector has been investigated upon using dual-reciprocity method. In order to validate the boundary element method, the results of this method have been compared with the ...
Seyyed Mohsen Mortazavinejad +1 more
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In this paper, heat transfer in an absorbing plate of a flat plate solar collector has been investigated upon using dual-reciprocity method. In order to validate the boundary element method, the results of this method have been compared with the ...
Seyyed Mohsen Mortazavinejad +1 more
exaly +2 more sources

