A modified version of regularized meshless method for three dimensional potential problem [PDF]
In this study, three-dimensional potential problem is solved using a novel meshless method. Due to the singularity of the kernel functions, the diagonal terms of the influence matrices in the method of fundamental solutions (MFS) are unobtainable. A proposed approach in the literature of the past decade, namely regularized meshless method (RMM), is ...
Lai Cheng-Yang +3 more
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Meshless Regular Hybrid Boundary Node Method
The Meshless Local Boundary Integral Equation (MLBIE) method is a truly meshless one as it does not need a 'finite element or boundary element mesh', either for variable interpolation or for 'energy' integration. The Boundary Node Method (BNM) further reduces the dimensionality of the problem by one, i.e.
Zhang, Jianming, Yao, Zhenhan
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Regularized meshless method for antiplane piezoelectricity problems with multiple inclusions
In this paper, solving antiplane piezoelectricity problems with multiple inclusions are attended by using the regularized meshless method (RMM). This is made possible that the troublesome singularity in the MFS disappears by employing the subtracting and adding-back techniques.
Chen, K. H., Kao, J. H., Chen, J. T.
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Boundary Layer Effect in Regularized Meshless Method for Laplace Equation
This paper presents an efficient strategy for the accurate evaluation of near-boundary solutions in the regularized meshless method (RMM), also known as the boundary layer effect associated with the boundary element method. The RMM uses the double layer potentials as its interpolation basis function.
Weiwei Li, Wen Chen
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An implicit potential method along with a meshless technique for incompressible fluid flows for regular and irregular geometries in 2D and 3D [PDF]
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Bourantas, G. C. +5 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Linlin, Chen, Wen, Zhang, Chuanzeng
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An investigation on the regularized meshless method for irregular domain problems
The regularized meshless method (RMM) is a novel boundary-type meshless method but by now has mainly been tested successfully to the regular domain problems in reports. This note makes a further investigation on its solution of irregular domain problems. We find that the method fails to produce satisfactory results for some benchmark problems.
Rencheng Song, Wen Chen
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Regularized Meshless Method for Solving Acoustic Eigenproblem with Multiply-Connected Domain
In this paper, we employ the regularized meshless method (RMM) to search for eigenfrequency of two-dimension acoustics with multiply-connected domain. The solution is represented by using the double layer potentials. The source points can be located on the physical boundary not alike method of fundamental solutions (MFS) after using the proposed ...
K.H. Chen, J.T. Chen, J.H. Kao
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In this manuscript, we will apply the regularized meshless method, coupled with an error estimation technique, to tackle the challenge of modeling oblique incident waves interacting with multiple cylinders. Given the impracticality of obtaining an exact solution in many real engineering problems, we introduce an error estimation technique designed to ...
Kue-Hong Chen, Jeng-Hong Kao, Yi-Hui Hsu
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A local stabilized approach for approximating the modified time-fractional diffusion problem arising in heat and mass transfer. [PDF]
Nikan O, Avazzadeh Z, Machado JAT.
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