The meshless method (MLPG) for domain & BIE discretizations

By Satya N. Atluri. 2004

520 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/f1b54b790819598f13ddf02f5c4e5bfbd6411d08

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Citations in the corpus

Meshless Local Petrov-Galerkin Collocation Method for Two-dimensional Heat Conduction Problems (2007, methodology): “The MLPG method, a truly meshless method developed by Atluri and his colleagues, is a simple and less-costly alternative to the FEM and FVM [Atluri and Zhu (1998), Atluri and Shen (2002a, b)].”
A Smoothed Finite Element Method (SFEM) for Linear and Geometrically Nonlinear Analysis of Plates and Shells (2008, methodology): “Meshless Local Petrov-Galerkin (MLPG) Method [Atluri and Shen (2002); Atluri (2004)] was also employed for plates and shells analysis by many researchers [Gu and Liu (2001); Long 110 Copyright c© 2008 Tech Science Press CMES, vol.28, no.2, pp.109-125, 2008 and Atluri (2002); Soric et al. (2004); Li…”
A Fictitious Time Integration Method for Two-Dimensional Quasilinear Elliptic Boundary Value Problems (2008, methodology): “Recently, Liu and Atluri (2008) have employed the above technique of fictitious time integration method (FTIM) to solve large system of nonlinear algebraic equations, and showed that high performance can be achieved by using the FTIM.”
Computational Methods in Engineering: A Variety ofPrimal & Mixed Methods, with Global & LocalInterpolations, for Well-Posed or Ill-Posed BCs (2014, methodology): “This expository article will be a part of soon to be published introductory textbook by Atluri and Dong (2015). Keywords: primal & mixed, global & local, well & ill-posed, trial & test function Contents 1 Introduction .”
Thermal Analysis of Reissner-Mindlin Shallow Shells with FGM Properties by the MLPG (2008, methodology): “Similar approach has been successfully applied to a thin Kirchhoff plate [Long and Atluri, 2002; Sladek et al., 2002, 2003]. The MLPG method has been also applied to Reissner-Mindlin plates under dynamic load by Sladek et al. (2007a). Soric et al. (2004) have performed a three-dimensional analysis o”
The MLPG Mixed Collocation Method for Material Orientation and Topology Optimization of Anisotropic Solids and Structures (2008, methodology): “The approximated function u(x) can be written as [Atluri (2004)]”
Meshless Method for Crack Analysis in Functionally Graded Materials with Enriched Radial Base Functions (2008, methodology): “A comprehensive review of meshless methods can be found in the book by Atluri (2004).”
Bending analyses of 1D orthorhombic quasicrystal plates (2013, methodology): “The approximation functions for the generalized variables can be written as (Atluri, 2004) uhðx; sÞ ¼ NTðxÞ û ¼ Xn a¼1 NaðxÞûaðsÞ; ð42Þ where the nodal values ûaðsÞ are fictitious parameters for the approximated field variable and NaðxÞ is the shape function associated with node a.”