Meshless Local Petrov-Galerkin Method for Heat Conduction Problem in an Anisotropic Medium
Computer Modeling in Engineering & Sciences, 2004 Meshless methods based on the local Petrov-Galerkin approach are proposed for solution of steady and transient heat conduction problem in a continuously nonhomogeneous anisotropic medium. Fundamental solution of the governing partial differential equations and the Heaviside step function are used as the test functions in the local weak form.
Sladek, J., Sladek, V., Atluri, S. N.
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Three-Dimensional Fracture Analysis in Functionally Graded Materials Using the Finite Block Method in Strong Form. [PDF]
Materials (Basel), 2023 Fu CY, Yang Y, Zhou YR, Shi CZ, Wen PH.
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A Meshless Local Petrov-Galerkin Method for Solving the Bending Problem of a Thin Plate
Computer Modeling in Engineering & Sciences, 2002 Meshless methods have been extensively popularized in literature in recent years, due to their flexibility in solving boundary value problems. The meshless local Petrov-Galerkin(MLPG) method for solving the bending problem of the thin plate is presented and discussed in the present paper.
Long, Shuyao, Atluri, S. N.
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Analysis of the Element-Free Galerkin Method with Penalty for Stokes Problems. [PDF]
Entropy (Basel), 2022 Zhang T, Li X.
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Meshless Local Petrov-Galerkin (MLPG) Mixed Collocation Method For Elasticity Problems
Computer Modeling in Engineering & Sciences, 2006 The Meshless Local Petrov-Galerkin (MLPG) mixed collocation method is proposed in this paper, for solving elasticity problems. In the present MLPG approach, the mixed scheme is applied to interpolate the displacements and stresses independently, as in the MLPG finite volume method.
Atluri, S. N., Liu, H. T., Han, Z. D.
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Simple Test Functions in Meshless Local Petrov-Galerkin Methods [PDF]
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.
Raju, Ivatury S.
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Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element. [PDF]
Materials (Basel), 2022 Huang W +4 more
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A numerical framework coupling finite element and meshless methods in sequential and parallel simulations. [PDF]
Finite Elem Anal Des, 2023 Nguyen VD +9 more
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An RBF Meshless Approach to Evaluate Strain Due to Large Displacements in Flexible Printed Circuit Boards. [PDF]
Micromachines (Basel), 2022 Groth C +4 more
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A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]
Sci Rep, 2023 Jaśkowiec J, Pamin J.
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