MESHLESS

作品数：90被引量：131H指数：7
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A High-Order Meshless Energy-Preserving Algorithm for the Beam Equation
《Communications in Mathematical Research》2024年第4期413-436,共24页Jialing Wang Yali He 
supported by the National Natural Science Foundation of China(Grant No.11801277).
In this paper,a meshless energy-preserving algorithm which can be arbitrarily high-order in temporal direction for the beam equation has been proposed.Based on the method of lines,we first use the radial basis func-ti...
关键词：Beam equation meshless scheme energy-preserving method radial basis function symplectic Runge-Kutta method. 
An Effective Meshless Approach for Inverse Cauchy Problems in 2D and 3D Electroelastic Piezoelectric Structures
《Computer Modeling in Engineering & Sciences》2024年第3期2955-2972,共18页Ziqiang Bai Wenzhen Qu Guanghua Wu 
the Natural Science Foundation of Shandong Province of China(Grant No.ZR2022YQ06);the Development Plan of Youth Innovation Team in Colleges and Universities of Shandong Province(Grant No.2022KJ140);the Key Laboratory ofRoad Construction Technology and Equipment(Chang’an University,No.300102253502).
In the past decade,notable progress has been achieved in the development of the generalized finite difference method(GFDM).The underlying principle of GFDM involves dividing the domain into multiple sub-domains.Within...
关键词：Generalized finite difference method meshless method inverse Cauchy problems piezoelectric problems electroelastic analysis 
Traveling wave solutions of the nonlinear Gilson-Pickering equation in crystal lattice theory
《Journal of Ocean Engineering and Science》2024年第1期40-49,共10页A.T.Nguyen O.Nikan Z.Avazzadeh 
This paper focuses on obtaining the traveling wave solutions of the nonlinear Gilson-Pickering equa-tion(GPE),which describes the prorogation of waves in crystal lattice theory and plasma physics.The solution of the G...
关键词：Nonlinear Gilson–Pickering equation Soliton wave solutions Meshless technique RBF LRBF-FD Optimal shape parameter 
Geometric Design of Letters in Times Roman Font via RBF Meshless Collocation Method
《Numerical Mathematics(Theory,Methods and Applications)》2023年第3期752-768,共17页Lionel Amuzu C.S.Chen Kwesi Acheampong Huiqing Zhu 
the financial support of the Ministry of Science and Technology(MOST),Taiwan,under the recruitment of visiting science and technology personnel with subsidies 110-2811-E-002-518;the support of sabbatical leave provided by the University of Southern Mississippi.
Two mathematical models in the context of boundary value problems are proposed for the geometric design of letters in Times Roman font.We adopt radial basis function meshless collocation method for numerically solving...
关键词：Kansa method Bezier curve implicit surface computer graphics image reconstruction meshless method radial basis functions 
Meshless Surface Wind Speed Field Reconstruction Based on Machine Learning
《Advances in Atmospheric Sciences》2022年第10期1721-1733,共13页Nian LIU Zhongwei YAN Xuan TONG Jiang JIANG Haochen LI Jiangjiang XIA Xiao LOU Rui REN Yi FANG 
supported by the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDA19030402);the Key Special Projects for International Cooperation in Science and Technology Innovation between Governments(Grant No.2017YFE0133600;the Beijing Municipal Natural Science Foundation Youth Project 8214066:Application Research of Beijing Road Visibility Prediction Based on Machine Learning Methods.
We propose a novel machine learning approach to reconstruct meshless surface wind speed fields,i.e.,to reconstruct the surface wind speed at any location,based on meteorological background fields and geographical info...
关键词：data reconstruction MESHLESS machine learning surface wind speed random forest 
A meshless moving morphable component-based method for structural topology optimization without weak material
《Acta Mechanica Sinica》2022年第5期72-87,I0002,共17页Linyuan Li Chang Liu Zongliang Du Weisheng Zhang Xu Guo 
supported by the National Natural Science Foundation(Grant Nos.11821202,11732004,12002077 and 12002073);the National Key Research and Development Plan(Grant No.2020YFB1709401);the Fundamental Research Funds for the Central Universities(Grant Nos.DUT21-RC(3)076 and DUT20RC(3)020);the Doctoral Scientific Research Foundation of Liaoning Province(Grant No.2021-BS-063);111 Project(Grant No.B14013).
Traditional topology optimization methods often introduce weak artificial material to mimic voids to avoid the singularity of the global stiffness matrix and carry out topology optimization with a fixed finite element...
关键词：Topology optimization Moving morphable components(MMCs) Meshless method Influence domain Numerical integration 
The Improved Interpolating Complex Variable Element-Free Galerkin Met hod for Two- D imensional Elastic Problems被引量：1
《Acta Mechanica Solida Sinica》2022年第2期328-343,共16页Yajie Deng Ying Dai 
The authors sincerely acknowledge the financial support from the National Science Foundation of China(No.12002240);the National Science and Technology Major Project(No.2017-IV-0003-0040).
An improved interpolating complex variable element-frees Galerkin(IICVEFG)method for the two-dimensional elastic problems is developed.This method is based on the improved interpolating complex variable moving least-s...
关键词：Interpolating meshless met hod Elastic problems Singular weight function Complete basis function 
A new meshless approach for bending analysis of thin plates with arbitrary shapes and boundary conditions
《Frontiers of Structural and Civil Engineering》2022年第1期75-85,共11页Wei DU Xiaohua ZHAO Huiming HOU Zhen WANG 
Financial support from the Natural Science Foundation of Guangdong Province(No.2020A1515011196)is gratefully acknowledged.
An efficient and meshfree approach is proposed for the bending analysis of thin plates.The approach is based on the choice of a set of interior points,for each of which a basis function can be defined.Plate deflection...
关键词：PLATE BENDING meshless method COLLOCATION 
A Meshless and Matrix-Free Approach to Modeling Turbulent Fluid Flow Dedicated to Professor Karl Stark Pister for his 95th birthday
《Computer Modeling in Engineering & Sciences》2021年第12期1373-1393,共21页Matthew Wilkinson Javier Villarreal Andrew Meade 
The authors wish to express their appreciation to the reviewers for their helpful suggestions which greatly improved the presentation of this paper。
A meshless and matrix-free fluid dynamics solver(SOMA)is introduced that avoids the need for user generated and/or analyzed grids,volumes,and meshes.Incremental building of the approximation avoids creation and invers...
关键词：Mesh free NAVIER-STOKES turbulent flow machine learning 
A local refinement purely meshless scheme for time fractional nonlinear Schrodinger equation in irregular geometry region
《Chinese Physics B》2021年第2期164-175,共12页Tao Jiang Rong-Rong Jiang Jin-Jing Huang Jiu Ding Jin-Lian Ren 
Project supported by the National Natural Science Foundation of China(Grant Nos.11501495,51779215,and 11672259);the Postdoctoral Science Foundation of China(Grant Nos.2015M581869 and 2015T80589);the Jiangsu Government Scholarship for Overseas Studies,China(Grant No.JS-2017-227)。
A local refinement hybrid scheme(LRCSPH-FDM)is proposed to solve the two-dimensional(2D)time fractional nonlinear Schrodinger equation(TF-NLSE)in regularly or irregularly shaped domains,and extends the scheme to predi...
关键词：Caputo fractional derivative nonlinear Schrodinger/Gross-Pitaevskii equation corrected smoothed particle hydrodynamics irregularly domain 
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