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A meshless numerical method based on the local boundary integral equation (LBIE) to solve linear and non-linear boundary value problems

Engineering Analysis with Boundary Elements, 1999
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Zhu, Tulong   +2 more
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Meshless local boundary integral equation (LBIE) method for the unsteady magnetohydrodynamic (MHD) flow in rectangular and circular pipes

Computer Physics Communications, 2009
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Mehdi Dehghan 0002, Davoud Mirzaei
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A research on the companion solution for a thin plate in the meshless local boundary integral equation method

Engineering Analysis with Boundary Elements, 2002
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An improved local boundary integral equation method implemented by the transformed MLS approximation with the delta property

Engineering Analysis with Boundary Elements, 2019
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The Nonlinear Meshless Local Petrov-Galerkin (MLPG) Method from the Nonlinear Regular Local Boundary Integral Equation

International Journal for Computational Methods in Engineering Science and Mechanics, 2010
The meshless local Petrov-Galerkin approach based on a regular local boundary integral equation is successfully extended to solve nonlinear boundary value problems. The present method is truly meshless, as no mesh connectivity is needed for interpolating the solution variables and for integrating the weak form. Compared to the original MLPG method, the
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A Numerical Method for a System of Integral Equations Determining the Boundaries of Local Nonhomogeneities

Computational Mathematics and Modeling, 2020
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Golovina, S. G., Zakharov, E. V.
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Application of the Local Boundary Integral Equation Method to Boundary-Value Problems

International Applied Mechanics, 2002
Summary: In this paper a review of the meshless formulations is presented. The formulations are based on the method of local boundary integral equations (LBIE). Physical quantities are approximated by the method of moving least squares. A short account of the latest investigations is presented concerning the application of LBIE method in the potential,
Sladek, J., Sladek, V., Atluri, S. N.
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A local boundary integral equation method for potential problems

International Journal for Numerical Methods in Engineering, 1988
AbstractBoundary integral equation (boundary element) methods have the advantage over other commonly used numerical methods that they do not require values of the unknowns at points within the solution domain to be computed. Further benefits would be obtained if attention could be confined to information at one small part of the boundary, the ...
Fenner, R. T., Watson, J. O.
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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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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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