The Implementation of Meshless Local Petrov Galerkin (MLPG) Method for Determine Pollutant Sources in Brantas River [PDF]
Pollution in the river often occur and can be threaten for aquatic organisms and humans. Polluted river has negative impacts for people around of the Brantas River.
Basuki, Widodo, Miranda, Eliyan
core
Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids [PDF]
A numerical implementation of the Somigliana identity in displacements for the solution of 3D elastic problems in exponentially graded isotropic solids is presented.
Criado, R. +4 more
core +1 more source
A Meshless Local Petrov-Galerkin Method for Solving the Bending Problem of a Thin Plate [PDF]
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 ...
S. N. Atluri, Shuyao Long
core +2 more sources
Application of Meshless Local Petrov-Galerkin (MLPG) to Problems with Singularities, and Material Discontinuities, in 3-D Elasticity [PDF]
In this paper, a truly meshless method, the Meshless Local Petrov-Galerkin (MLPG) Method, is developed for three-dimensional elasto-statics. The two simplest members of MLPG family of methods, the MLPG type 5 and MLPG type 2, are combined, in order to ...
Q. Li, S. N. Atluri, S. Shen, Z. D. Han
core +2 more sources
Large Deformation Hyper-Elastic Modeling for Nonlinear Dynamic Analysis of Two Dimensional Functionally Graded Domains Using the Meshless Local Petrov-Galerkin (MLPG) Method [PDF]
A meshless method based on the local Petrov-Galerkin approach is developed for elasto-dynamic analysis of geometrically nonlinear two dimensional (2D) problems in hyper-elastic functionally graded materials.
Farzad Shahabian +2 more
core +2 more sources
A meshless local Petrov-Galerkin (MLPG) method that employs polygonal sub-domains constructed from several triangular patches rather than the typically used circular sub-domains is presented.
Pamuda Pudjisuryadi
doaj
Meshless Local Petrov-Galerkin (MLPG) Method with Orthogonal Polynomials for Euler-Bernoulli Beam Problems [PDF]
In this paper, the feasibility of orthogonal polynomials in the meshless local Petrov Galerkin method (MLPG) method is studied. The orthogonal polynomials, Chebyshev and Legendre polynomials, are used in this MLPG method as trial functions.
Raju, Ivatury S.
core +1 more source
Application of the MLPG Mixed Collocation Method for Solving Inverse Problems of Linear Isotropic/Anisotropic Elasticity with Simply/Multiply-Connected Domains [PDF]
In this paper, a novel Meshless Local Petrov-Galerkin (MLPG) Mixed Collocation Method is developed for solving the inverse Cauchy problem of linear elasticity, wherein both the tractions as well as displacements are prescribed/measured at a small portion
Abdullah Alotaibi +3 more
core +2 more sources
In this paper we propose a direct solution method for the quasi-unsymmetric sparse matrix (QUSM) arising in the Meshless Local Petrov-Galerkin method (MLPG). QUSM, which is conventionally treated as a general unsymmetric matrix, is unsymmetric in its numerical values, but nearly symmetric in its nonzero distribution of upper and lower triangular ...
Yuan, Weiran, Chen, Pu, Liu, Kaishin
openaire +2 more sources
Development of Reduced-Order Meshless Solutions of Three-Dimensional Navier Stokes Transport Phenomena [PDF]
Emerging meshless technologies are very promising for numerically solving Euler and Navier-Stokes transport systems in one-, two-, and three-dimensions (3-D). The Reduced-Order Meshless (ROM) technique developed in this work is applicable to a wide array
Work, Daniel
core

