Results 31 to 40 of about 875 (203)
Numerical Investigation on Improving the Computational Efficiency of the Material Point Method
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 Based on the basic theory of the material point method (MPM), the factors affecting the computational efficiency are analyzed and discussed, and the problem of improving calculation efficiency is studied. This paper introduces a mirror reflection boundary condition to the MPM to solve axisymmetric problems; to improve the computational efficiency of ...
Jingxin Ma +5 more
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Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this paper, a new numerical method named Barycentric Lagrange interpolation‐based differential quadrature method is implemented to get numerical solution of 1D and 2D coupled nonlinear Schrödinger equations. In the present study, spatial discretization is done with the aid of Barycentric Lagrange interpolation basis function.
Varun Joshi +5 more
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Meshless Local Petrov-Galerkin (MLPG) Method for Convection-Diffusion Problems [PDF]
, 2000 Due to the very general nature of the Meshless Local Petrov-Galerkin (MLPG) method, it is very easy and natural to introduce the upwinding concept (even in multi-dimensional cases) in the MLPG method, in order to deal with convection-dominated flows.
H. Lin, S.N. Atluri
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MLPG analysis method for local buckling of ship opening beams
Zhongguo Jianchuan Yanjiu, 2021 ObjectivesIn order to solve the problems of the local buckling effect and obvious structural response and buckling failure force caused by high concentrated load, a meshless numerical method is proposed to simulate the problem.MethodsBased on discrete ...
Yu DUANMU +3 more
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Meshless Local Petrov-Galerkin (MLPG) Approaches for Solving the Weakly-Singular Traction & Displacement Boundary Integral Equations [PDF]
, 2003 The general Meshless Local Petrov-Galerkin (MLPG) type weak-forms of the displacement & traction boundary integral equations are presented, for solids undergoing small deformations.
Z. D. Han, S. N. Atluri, S. Shen
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Analysis of Piezoelectric Semiconducting Solids by Meshless Method
Journal of Mechanical Engineering, 2015 In this paper, a meshless local Petrov-Galerkin (MLPG) method is proposed to calculate mechanical and electrical responses of three-dimensional piezoelectric semiconductors under static load.
Staňák P., Sládek J., Sládek V.
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Transient thermal analysis of functionally graded shallow shells by the MLPG [PDF]
Computer Methods in Materials Science, 2009 A meshless local Petrov-Galerkin (MLPG) method is applied to solve problems of Reissner-Mindlin shells under a transient thermal load. Functionally graded materials with a continuous variation of properties in the shell thickness direction are considered
Jan Sladek, Vladimir Sladek, Peter Solek
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The International Conference on Computational & Experimental Engineering and Sciences, 2023 This is a short summary of recent mathematical results on error bounds and convergence of certain unsymmetric methods, including variations of Kansa's collocation technique and Atluri's MLPG method. The presentation is kept as simple as possible in order to address a larger community working on applications in Science and Engineering.
openaire +2 more sources
The Numerical Solution of Fractional Black‐Scholes‐Schrodinger Equation Using the RBFs Method
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In this paper, radial basis functions (RBFs) method was used to solve a fractional Black‐Scholes‐Schrodinger equation in an option pricing of financial problems. The RBFs method is applied in discretizing a spatial derivative process. The approximation of time fractional derivative is interpreted in the Caputo’s sense by a simple quadrature formula ...
Naravadee Nualsaard +3 more
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Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 Friction stir welding (FSW) is a favorable welding technology for aluminum alloys. The FSW process involves complex heat and mass transfer. Explicit meshless particle methods are currently popular methods for simulating the process, but they require expensive computational cost.
Yihua Xiao, Hecheng Wu, Nunzio Salerno
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