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Analysis of thin plates by the local boundary integral equation (LBIE) method

Engineering Analysis with Boundary Elements, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Long, Shuyao, Zhang, Qin
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A simplified approach for imposing the boundary conditions in the local boundary integral equation method

Computational Mechanics, 2012
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Ooi, Ean Hin, Popov, Viktor
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Dispersion analysis of the meshless local boundary integral equation and radial basis integral equation methods for the Helmholtz equation

Engineering Analysis with Boundary Elements, 2015
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Dogan, Hakan   +2 more
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Application of local boundary integral equation method into micropolar elasticity

Engineering Analysis with Boundary Elements, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sladek, Jan, Sladek, Vladimir
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Improved non-singular local boundary integral equation method

Applied Mathematics and Mechanics, 2007
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Fu, Dong-Jie   +2 more
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Direct local boundary integral equation method for numerical solution of extended Fisher–Kolmogorov equation

Engineering with Computers, 2017
In this paper, the local boundary integral equation (LBIE) method based on generalized moving least squares (GMLS) is proposed for solving extended Fisher---Kolmogorov (EFK) equation. Since the local weak forms are directly approximated from nodal data using a GMLS approximation, this method is called direct local boundary integral equation (DLBIE ...
Mohammad Ilati, Mehdi Dehghan 0002
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The local boundary integral equation (LBIE) and it's meshless implementation for linear elasticity

Computational Mechanics, 2000
The local boundary integral equation and its meshless implementation is a method for solving boundary value problems. The method is mechless, as it does not need a finite element mesh. The paper explains in detail the method and its implementation, and illustrates its application by many examples within linear elasticity, showing high rates of ...
Atluri, S. N.   +3 more
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Boundary integral equation method for source localization with a continuous wave sonar

The Journal of the Acoustical Society of America, 1992
In this paper, matched-field processing is combined with the boundary integral equation method (BIEM) of scattering theory to study a sound source localization problem in a perturbed shallow ocean. It is assumed that there is a known inclusion embedded in a shallow water waveguide. Continuous waves (cw), produced by a sound source, are scattered by the
Yongzhi Xu, Yi Yan
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Meshless local boundary integral equation method for 2D elastodynamic problems

International Journal for Numerical Methods in Engineering, 2003
AbstractA new meshless method for solving transient elastodynamic boundary value problems, based on the local boundary integral equation (LBIE) method and the moving least squares approximation (MLS), is proposed in this paper. The LBIE with the MLS is applied to both transient and steady‐state (Laplace transformed) elastodynamics.
Sladek, J., Sladek, V., Van Keer, R.
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On the existence of a local solution for an integro-differential equation with an integral boundary condition

Boletín de la Sociedad Matemática Mexicana, 2019
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Nouri Boumaza, Billel Gheraibia
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