A meshless local Petrov-Galerkin scaled boundary method
Computational Mechanics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deeks, A. J., Augarde, C. E.
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Non‐linear dynamic analyses by meshless local Petrov–Galerkin formulations
International Journal for Numerical Methods in Engineering, 2009AbstractIn this work, meshless methods based on the local Petrov–Galerkin approach are proposed for the solution of dynamic problems considering elastic and elastoplastic materials. Formulations adopting the Heaviside step function and the Gaussian weight function as the test functions in the local weak form are considered.
Soares, D. jun., Sladek, J., Sladek, V.
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CUDA Approach for Meshless Local Petrov–Galerkin Method
IEEE Transactions on Magnetics, 2015In this paper, a strategy to parallelize the meshless local Petrov–Galerkin (MLPG) method is developed. It is executed in a high parallel architecture, the well known graphics processing unit. The MLPG algorithm has many variations depending on which combination of trial and test functions is used.
Bruno C. Correa +2 more
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Inverse heat conduction problems by meshless local Petrov–Galerkin method
Engineering Analysis with Boundary Elements, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sladek, J., Sladek, V., Hon, Y. C.
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A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics
Computational Mechanics, 1998A local symmetric weak form (LSWF) for linear potential problems is developed, and a truly meshless method, based on the LSWF and the moving least squares approximation, is presented for solving potential problems with high accuracy. The essential boundary conditions in the present formulation are imposed by a penalty method.
Atluri, S. N., Zhu, T.
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Meshless Local Petrov-Galerkin in solving microwave guide problems
Digests of the 2010 14th Biennial IEEE Conference on Electromagnetic Field Computation, 2010This paper describes a meshless approach to obtain accurate solutions for propagating microwave problems. The Meshless Local Petrov-Galerkin (MLPG) method, with the Heaviside step test functions and Radial basis point interpolation method (RPIM) shape functions, is used.
Bruno C. Correa +4 more
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Improving the Mixed Formulation for Meshless Local Petrov–Galerkin Method
IEEE Transactions on Magnetics, 2010The meshless local Petrov-Galerkin method (MLPG) with a mixed formulation to impose Dirichlet boundary conditions is investigated in this paper. We propose the use of Shepard functions for inner nodes combined with the radial point interpolation method with polynomial terms (RPIMp) for nodes over the Dirichlet boundaries.
Alexandre R. Fonseca +3 more
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Meshless Local Petrov-Galerkin Formulation for Problems in Composite Micromechanics
AIAA Journal, 2007In this paper we present the meshless local Petrov-Galerkin formulation for the generalized plane strain problem with specific emphasis on micromechanics of composite materials containing material discontinuities. The problem requires the introduction of an extra discrete degree of freedom, the out-of-plane uniform normal strain.
Thi D. Dang, Bhavani V. Sankar
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Mixed meshless local Petrov–Galerkin collocation method for modeling of material discontinuity
Computational Mechanics, 2016A mixed Meshless Local Petrov-Galerkin (MLPG) collocation method is proposed for solving the two- dimensional boundary value problem of heterogeneous structures. The heterogeneous structures are defined by partitioning the total material domain into subdomains with different linear-elastic isotropic properties which define homogeneous materials.
Jarak, Tomislav +2 more
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Computational complexity and parallelization of the meshless local Petrov–Galerkin method
Computers & Structures, 2009The computational complexity of the meshless local Petrov-Galerkin method (MLPG) has been analyzed and compared with the finite difference (FDM) and finite element methods (FEM) from the user point of view. Theoretically, MLPG is the most complex of the three methods.
Roman Trobec +2 more
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