Results in EngineeringBackground and Objective: Glioblastoma multiforme (GBM) is one of the most aggressive and treatment-resistant brain tumors, with a poor prognosis despite therapeutic advancements.
A.M. Maleki +4 more
doaj +1 more source
Selection of Radial Basis Functions for the Accuracy of Meshfree Galerkin Method in Rotating Euler-Bernoulli Beam Problem. [PDF]
Int J Appl Comput Math, 2022 Panchore V.
europepmc +1 more source
Elastoplastic Analysis of Metallic Parts Employing a Meshless Method. [PDF]
ACS Omega, 2023 Chhillar A +5 more
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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.
europepmc +1 more source
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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Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element. [PDF]
Materials (Basel), 2022 Huang W +4 more
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Meshless Local Petrov-Galerkin (MLPG) Method for Convection-Diffusion Problems
Computer Modeling in Engineering & Sciences, 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. In this paper, several upwinding schemes are proposed, and applied to solve steady convection-diffusion
H. Lin, S.N. Atluri
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