Bearing Capacity Analysis Using Meshless Local Petrov-Galerkin Method [PDF]
Civil and Environmental Engineering, 2014 The paper deals with use of the meshless method for soil bearing capacity analysis. There are many formulations of the meshless methods. The article presents the Meshless Local Petrov-Galerkin method (MLPG) - local weak formulation of the equilibrium ...
Mužík Juraj
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A comparative analysis of meshless based simulation optimization models with metaheuristic algorithms for groundwater remediation [PDF]
Scientific ReportsA robust Simulation–Optimization (SO) framework is proposed for the cost-effective design of groundwater remediation schemes in contaminated aquifers.
Sanjukta Das, T. I. Eldho
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Meshless local Petrov-Galerkin method for rotating Rayleigh beam using Chebyshev and Legendre polynomials [PDF]
Archive of Mechanical Engineering, 2022 The numerical solutions are obtained for rotating beams; the inclusion of centrifugal force term makes it difficult to get the analytical solutions. In this paper, we solve the free vibration problem of rotating Rayleigh beam using Chebyshev and Legendre
Vijay Panchore
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Meshless Local Petrov-Galerkin Method for 3D Steady-State Heat Conduction Problems [PDF]
Advances in Mechanical Engineering, 2011 The Meshless Local Petrov-Galerkin (MLPG) method is applied for solving the three-dimensional steady state heat conduction problems. This method is a truly meshless approach; also neither the nodal connectivity nor the background mesh is required for ...
M. J. Mahmoodabadi +3 more
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Direct Meshless Local Petrov–Galerkin (DMLPG) method: A generalized MLS approximation [PDF]
Applied Numerical Mathematics, 2013 The Meshless Local Petrov{Galerkin (MLPG) method is one of the popular meshless methods that has been used very successfully to solve several types of boundary value problems since the late nineties. In this paper, using a generalized moving least squares (GMLS) approximation, a new direct MLPG technique, called DMLPG, is presented.
Davoud Mirzaei, Robert Schaback
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Node-to-Node Realization of Meshless Local Petrov Galerkin (MLPG) Fully in GPU [PDF]
IEEE Access, 2019 This paper presents an end-to-end massively parallelized procedure for the solution of boundary value problems on Graphics Processing Units (GPU). The proposal is an integrated strategy that not only entails the calculation of nodal contributions, and ...
Lucas Pantuza Amorim +3 more
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INTRODUCTION TO MESHLESS LOCAL PETROV-GALERKIN METHOD
Civil Engineering Dimension, 2002 in Bahasa Indonesia :
Pamuda Pudjisuryadi
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Meshless Local Petrov-Galerkin Method for Plane Piezoelectricity [PDF]
Computers, Materials & Continua, 2006 Piezoelectric materials have wide range engineering applications in smart structures and devices. They have usually anisotropic properties. Except this complication electric and mechanical fields are coupled each other and the governing equations are much more complex than that in the classical elasticity. Thus, efficient computational methods to solve
J. Sladek +4 more
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Simple Test Functions in Meshless Local Petrov-Galerkin Methods [PDF]
57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2016 Two meshless local Petrov-Galerkin (MLPG) methods based on two different trial functions but that use a simple linear test function were developed for beam and column problems. These methods used generalized moving least squares (GMLS) and radial basis (RB) interpolation functions as trial functions.
Raju, Ivatury S.
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Numerical Integration with Constraints for Meshless Local Petrov-Galerkin Methods [PDF]
Computer Modeling in Engineering & Sciences, 2013 We propose numerical integration rules for meshless local Petrov- Galerkin methods (MLPG) employed to solve elliptic partial different equations (PDE) with Neumann boundary conditions. The integration rules are required to satisfy an integration constraint condition of Green’s formula type (GIC).
L. Sun, G. Yang, Q. Zhang
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