Application of an accelerated boundary-based mesh-free method to two-dimensional problems in potential theory

2003 ◽  
Vol 32 (4-6) ◽  
pp. 240-249 ◽  
Author(s):  
S. S. Kulkarni ◽  
S. Telukunta ◽  
S. Mukherjee
Keyword(s):  
Potential Theory ◽  
Two Dimensional ◽  
Mesh Free ◽  
Mesh Free Method

scholarly journals A Numerical Method for SolvingTwo-Dimensional Nonlinear Parabolic ProblemsBased on a Preconditioning Operator

2020 ◽  
Vol 25 (4) ◽  
pp. 531-545
Author(s):  
Amir Hossein Salehi Shayegan ◽  
Ali Zakeri ◽  
Seyed Mohammad Hosseini
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Parabolic Problem ◽  
Time Variable ◽  
Two Dimensional ◽  
Helmholtz Operator ◽  
Mesh Free ◽  
Nonlinear Parabolic ◽  
Spline Finite Element ◽  
Mesh Free Method

This article considers a nonlinear system of elliptic problems, which is obtained by discretizing the time variable of a two-dimensional nonlinear parabolic problem. Since the system consists of ill-conditioned problems, therefore a stabilized, mesh-free method is proposed. The method is based on coupling the preconditioned Sobolev space gradient method and WEB-spline finite element method with Helmholtz operator as a preconditioner. The convergence and error analysis of the method are given. Finally, a numerical example is solved by this preconditioner to show the efficiency and accuracy of the proposed methods.

Generalized-strain mesh-free method (GSMF) for two-dimensional elasticity problems

2017 ◽  
Author(s):  
Wilber Vélez ◽  
Tiago da Silva Oliveira ◽  
Elvis Pereira de Santana ◽  
Artur Portela
Keyword(s):  
Two Dimensional ◽  
Mesh Free ◽  
Mesh Free Method ◽  
Elasticity Problems

Mesh-Free Method for Predicting the Behavior of Saturated Soil

Geomechanics ◽  
2005 ◽  
Author(s):  
Akira Murakami ◽  
Shin'ichi Arimoto ◽  
Tatsuya Setsuyasu ◽  
Tatsuro Nishiyama
Keyword(s):  
Saturated Soil ◽  
Mesh Free ◽  
Mesh Free Method

Parameter Identification by Inverse Analysis Coupled with a Finite Pointset Method for Polyurethane Foam Expansion

2014 ◽  
Vol 611-612 ◽  
pp. 868-875 ◽  
Author(s):  
Hichem Abdessalam ◽  
Boussad Abbès ◽  
Yu Ming Li ◽  
Ying Qiao Guo ◽  
Elvis Kwassi ◽  
...  
Keyword(s):  
Parameter Identification ◽  
Reaction Temperature ◽  
Inverse Analysis ◽  
Stokes Equations ◽  
Foam Height ◽  
Test Tube ◽  
Navier Stokes ◽  
Foam Expansion ◽  
Mesh Free ◽  
Mesh Free Method

This paper deals with the parameter identification for polyurethane foaming process simulation by using an inverse analysis coupled with a Finite Pointset Method. Simultaneous measurements of the foam height rise, the reaction temperature and the viscosity on a cylindrical cardboard test tube are obtained by using the foam measurement system (FOAMAT). The simulation of the foam expansion is obtained by solving unsteady Navier-Stokes equations coupled with the energy equation, the curing reaction (reaction of isocyanate with polyol) and the foaming reaction (reaction of isocyanate with water to emit the CO2 gas) by using a mesh-free method. The inverse identification method consists in determining the parameters by comparing the computed quantities (height rise, reaction temperature and viscosity) computed by the finite pointset method to those measured experimentally.

Approximation of the first eigenpair of the p(x)-Laplacian using WEB-spline based mesh-free method

2021 ◽  
Vol 131 ◽  
pp. 269-279
Author(s):  
Suchismita Patra ◽  
Naraveni Rajashekar ◽  
V.V.K. Srinivas Kumar
Keyword(s):  
Mesh Free ◽  
Mesh Free Method
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