Results 41 to 50 of about 136 (126)
Meshless Local Petrov-Galerkin (MLPG) Method for Shear Deformable Shells Analysis
Computer Modeling in Engineering & Sciences, 2006 A meshless local Petrov-Galerkin (MLPG) method is applied to solve bending problems of shear deformable shallow shells described by the Reissner theory. Both static and dynamic loads are considered. For transient elastodynamic case the Laplace-transform is used to eliminate the time dependence of the field variables. A weak formulation with a unit test
J. Sladek +3 more
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Assessment of implicit adaptive mesh‐free CFD modelling
International Journal for Numerical Methods in Fluids, Volume 96, Issue 5, Page 670-700, May 2024.The paper shows results from an implicit meshless method suitable for the analysis of external aerodynamic flows. This research is using a cloud of points instead of cells, and several stencils are compared for the discretization of the flow equations, along with a least‐squares method.
Tao Zhang, George N. Barakos
wiley +1 more source
A General 2D Meshless Interpolating Boundary Node Method Based on the Parameter Space
Mathematical Problems in Engineering, Volume 2017, Issue 1, 2017., 2017 The presented study proposed an improved interpolating boundary node method (IIBNM) for 2D potential problems. The improved interpolating moving least‐square (IIMLS) method was applied to construct the shape functions, of which the delta function properties and boundary conditions were directly implemented.
Hongyin Yang +3 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016 A numerical analysis of the space‐fractional wave equation is carried out by the improved moving least‐square Ritz (IMLS‐Ritz) method. The trial functions for the space‐fractional wave equation are constructed by the IMLS approximation. By the Galerkin weak form, the energy functional is formulated.
Rongjun Cheng +3 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016 An RBF‐based meshless method is presented for the analysis of thin plates undergoing large deflection. The method is based on collocation with the multiquadric radial basis function (MQ‐RBF). In the proposed method, the resulting coupled nonlinear equations are solved using an incremental‐iterative procedure.
Mohammed M. Hussein Al-Tholaia +2 more
wiley +1 more source
A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids
Computational Mechanics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gu, Y.T., Liu, G.R.
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Computer Modeling in Engineering & Sciences, 2000 The truly meshless local Petrov-Galerkin (MLPG) method holds a great promise in solving boundary value problems, using a local symmetric weak form as a natural approach. In the present paper, in the context of MLPG and the meshless interpolation of a moving least squares (MLS) type, a method which uses primary and secondary nodes in the domain and on ...
Kim, H.-G., Atluri, S. N.
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Vibrations of Cracked Euler-Bernoulli Beams using Meshless Local Petrov-Galerkin (MLPG) Method
Computer Modeling in Engineering & Sciences, 2005 Structural health monitoring techniques based on vibration data have received increasing attention in recent years. Since the measured modal characteristics and the transient motion of a beam exhibit low sensitivity to damage, numerical techniques for accurately computing vibration characteristics are needed.
ANDREAUS, Ugo +2 more
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A MLPG Meshless Method for Numerical Simulation of Unsteady Incompressible Flows
Journal of Applied Fluid Mechanics, 2017 This article presents a numerical algorithm using the Meshless Local PetrovGalerkin (MLPG) method for numerical simulation of unsteady incompressible flows, governed by the Navier–Stokes equations via the stream function–vorticity (ψ–ω) formulation.
Iraj Saeedpanah
doaj
Elastic Moduli of Woven Fabric Composite by Meshless Local Petrov-Galerkin (MLPG) Method
Computer Modeling in Engineering & Sciences, 2010 A meshless local Petrov-Galerkin method, for the micro-mechanical material model of woven fabric composite material is presented in this paper. The material models are based on a repeated unit cell approach and two smooth fibre modes. A unit step function is used as the test functions in the local weak-form which leads to local boundary integral ...
P.H. Wen, M.H. Aliabadi
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