Multi-view Ear Recognition Based on Moving Least Square Pose Interpolation

Combining the finite covering technical and complex variable moving least square, the complex variable meshless manifold method can handle the discontinuous problem effectively. In this paper, the complex variable meshless method is applied to solve the problem of elastic dynamics, the complex variable meshless manifold method for dynamics is established, and the corresponding formula is derived. The numerical example shows that the numerical solutions are in good agreement with the analytical solution. The CVMMM for elastic dynamics and the discrete forms are correct and feasible. Compared with the traditional meshless manifold method, the CVMMM has higher accuracy in the same distribution of nodes.

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Analysis of the Time Fractional 2-D Diffusion-Wave Equation via Moving Least Square (MLS) Approximation

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-016-0247-7 ◽

2016 ◽

Vol 3 (3) ◽

pp. 2447-2466 ◽

Cited By ~ 12

Author(s):

Elyas Shivanian

Keyword(s):

Wave Equation ◽

Least Square ◽

Diffusion Wave ◽

Moving Least Square ◽

Mls Approximation

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An Efficient Meshfree Method for Fracture Analysis of Cracks in Bi-Materials

Volume 6: Materials and Fabrication ◽

10.1115/pvp2006-icpvt-11-93754 ◽

2006 ◽

Author(s):

B. Nandulal ◽

B. N. Rao ◽

C. Lakshmana Rao

Keyword(s):

Computational Efficiency ◽

Basis Function ◽

Meshfree Method ◽

Fracture Analysis ◽

Least Square ◽

Moving Least Square ◽

Linear Elastic ◽

Moving Least Square Approximation ◽

Material Fracture ◽

Element Free

This paper presents an enriched meshless method based on an improved moving least-square approximation (IMLS) method for fracture analysis of cracks in homogeneous, isotropic, linear-elastic, two-dimensional bimaterial solids, subject to mixed-mode loading conditions. The method involves an element-free Galerkin formulation in conjunction with IMLS and a new enriched basis functions to capture the singularity field in linear-elastic bi-material fracture mechanics. In the IMLS method, the orthogonal function system with a weight function is used as the basis function. The IMLS has higher computational efficiency and precision than the MLS, and will not lead to an ill-conditioned system of equations. The proposed enriched basis function can be viewed as a generalized enriched basis function, which degenerates to a linear-elastic basis function when the bimaterial constant is zero. Numerical examples are presented to illustrate the computational efficiency and accuracy of the proposed method.

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Two Implicit Meshless Finite Point Schemes for the Two-Dimensional Distributed-Order Fractional Equation

Computational Methods in Applied Mathematics ◽

10.1515/cmam-2018-0009 ◽

2019 ◽

Vol 19 (4) ◽

pp. 813-831

Author(s):

Rezvan Salehi

Keyword(s):

Reproducing Kernel ◽

Point Method ◽

Least Square ◽

Computationally Efficient ◽

Finite Point ◽

Moving Least Square ◽

Point Collocation ◽

Finite Point Method ◽

Distributed Order ◽

Fractional Equation

AbstractIn this paper, the distributed-order time fractional sub-diffusion equation on the bounded domains is studied by using the finite-point-type meshless method. The finite point method is a point collocation based method which is truly meshless and computationally efficient. To construct the shape functions of the finite point method, the moving least square reproducing kernel approximation is employed. Two implicit discretisation of order{O(\tau)}and{O(\tau^{1+\frac{1}{2}\sigma})}are derived, respectively. Stability and{L^{2}}norm convergence of the obtained difference schemes are proved. Numerical examples are provided to confirm the theoretical results.

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