Results 241 to 250 of about 12,629 (265)

Numerical solution to the unsteady two‐dimensional Schrödinger equation using meshless local boundary integral equation method

International Journal for Numerical Methods in Engineering, 2008
AbstractA meshless local boundary integral equation (LBIE) method is proposed to solve the unsteady two‐dimensional Schrödinger equation. The method is based on the LBIE with moving least‐squares (MLS) approximation. For the MLS approximation, nodal points spread over the analyzed domain are utilized to approximate the interior and boundary variables ...
Dehghan, Mehdi, Mirzaei, Davoud
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A meshless local boundary integral equation (LBIE) method for solving nonlinear problems

Computational Mechanics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, T., Zhang, J., Atluri, S. N.
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Local A-Posteriori Error Estimators for the Discretization of Boundary Integral Equations

1996
In this paper we present local a-posteriori error estimators for the Galerkin and for the collocation discretization of boundary integral equations. These error estimators are introduced and investigated by Babuska-Rheinboldt [2] for finite element methods.
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Local a-posteriori error indicators for the Galerkin discretization of boundary integral equations

Numerische Mathematik, 1998
The error indicators of \textit{I. Babuška} and \textit{W. C. Rheinboldt} [SIAM J. Numer. Anal. 15, 736-754 (1978; Zbl 0398.65069)] are transferred from finite element methods onto boundary element methods in the two- and three-dimensional case. It is shown that they are reliable and efficient for a wide class of integral operators under relatively ...
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A new meshless regular local boundary integral equation (MRLBIE) approach

International Journal for Numerical Methods in Engineering, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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AN IMPROVED LOCAL BOUNDARY INTEGRAL EQUATION METHOD FOR TWO-DIMENSIONAL POTENTIAL PROBLEMS

International Journal of Applied Mechanics, 2010
Combining the local boundary integral equation with the improved moving least-squares (IMLS) approximation, an improved local boundary integral equation (ILBIE) method for two-dimensional potential problems is presented in this paper. In the IMLS approximation, the weighted orthogonal functions are used as basis functions.
BAODONG DAI, YUMIN CHENG
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BINN: A deep learning approach for computational mechanics problems based on boundary integral equations

Computer Methods in Applied Mechanics and Engineering, 2023
Jia Sun, Zhenhan Yao, Yizheng Wang
exaly  

Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method

Applied Numerical Mathematics, 2018
Mehdi Dehghan, Pouria Assari
exaly  

A meshless local boundary integral equation method for dynamic anti-plane shear crack problem in functionally graded materials

Engineering Analysis With Boundary Elements, 2005
Chuanzeng Zhang, Jan Sladek
exaly  

Weakly-singular traction and displacement boundary integral equations and their meshless local petrov-galerkin approaches

Tsinghua Science and Technology, 2005
Zhidong Han, Zhenhan Yao, S N Atluri
exaly