Results 31 to 40 of about 9,194 (249)

Addressing Integration Error for Polygonal Finite Elements Through Polynomial Projections: A Patch Test Connection [PDF]

, 2013
Polygonal finite elements generally do not pass the patch test as a result of quadrature error in the evaluation of weak form integrals. In this work, we examine the consequences of lack of polynomial consistency and show that it can lead to a ...
Paulino, Glaucio H., Talischi, Cameron
core   +1 more source

A Meshless Method Based on the Laplace Transform for the 2D Multi-Term Time Fractional Partial Integro-Differential Equation

Mathematics, 2020
In this article, we propose a localized transform based meshless method for approximating the solution of the 2D multi-term partial integro-differential equation involving the time fractional derivative in Caputo’s sense with a weakly singular kernel ...
Kamran Kamran, Zahir Shah, Poom Kumam, Nasser Aedh Alreshidi   +3 more
doaj   +1 more source

Application of meshless local radial point interpolation (MLRPI) on a one-dimensional inverse heat conduction problem

Ain Shams Engineering Journal, 2016
In this paper, the meshless local radial point interpolation (MLRPI) method is applied to one-dimensional inverse heat conduction problems. The meshless LRPIM is one of the truly meshless methods since it does not require any background integration cells.
Elyas Shivanian, Hamid Reza Khodabandehlo   +1 more
doaj   +1 more source

Applying the meshless Fragile Points method to solve the two-dimensional linear Schrödinger equation on arbitrary domains [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2023
The meshless Fragile Points method (FPM) is applied to find the numerical solutions of the Schrödinger equation on arbitrary domains. This method is based on Galerkin’s weak-form formulation, and the generalized finite difference method has been used to ...
D. Haghighi, S. Abbasbandy, E. Shivanian
doaj   +1 more source

Numerical Simulation of Partial Differential Equations via Local Meshless Method [PDF]

Symmetry, 2019
In this paper, numerical simulation of one, two and three dimensional partial differential equations (PDEs) are obtained by local meshless method using radial basis functions (RBFs). Both local and global meshless collocation procedures are used for spatial discretization, which convert the given PDEs into a system of ODEs.
Imtiaz Ahmad, Muhammad Riaz, Muhammad Ayaz, Muhammad Arif, Saeed Islam, Poom Kumam   +5 more
openaire   +1 more source

Application of Meshless Methods for Thermal Analysis

, 2004
Many numerical and analytical schemes exist for solving heat transfer problems. The meshless method is a particularly attractive method that is receiving attention in the engineering and scientific modeling communities.
Pepper, Darrell, Sarler, Bozidar
core   +1 more source

Meshless Local Petrov-Galerkin Method in Anisotropic Elasticity

Computer Modeling in Engineering & Sciences, 2004
A meshless method based on the local Petrov-Galerkin approach is proposed for solution of static and elastodynamic problems in a homogeneous anisotropic medium. The Heaviside step function is used as the test functions in the local weak form. It is leading to derive local boundary integral equations (LBIEs).
Sladek, J., Sladek, V., Atluri, S. N.
openaire   +2 more sources

Meshless simulation of dam break using MLPG-RBF and shallow water equations

MATEC Web of Conferences, 2017
This article focuses on the application of the meshless local Petrov-Galerkin (MLPG) method to solve the shallow water equations (SWE). This localized approach is based on the meshless weak formulation with the use of radial-basis functions (RBF) as the ...
Mužík Juraj, Holičková Martina
doaj   +1 more source

Trefftz Difference Schemes on Irregular Stencils

, 2009
The recently developed Flexible Local Approximation MEthod (FLAME) produces accurate difference schemes by replacing the usual Taylor expansion with Trefftz functions -- local solutions of the underlying differential equation.
Al Shenk, Arroyo, Babuška, Baruch, Belytschko, Belytschko, Boag, Boag, Bykov, Bykov, Cheng, Chiang, Chiang, Ciarlet, Dai, Dai, Fujisawa, Harari, Harrington, Hu, Igor Tsukerman, John, Johnson, Krongauz, Lambe, Liu, Mei, Mishchenko, Mittra, Moskow, Nabavi, Nguyen, Pinheiro, Pinheiro, Ronald Hadley, Ronald Hadley, Sakoda, Singer, Sukumar, Sutmann, Tsukerman, Tsukerman, Tsukerman, Tsukerman, Tsukerman, Tsukerman, Tsukerman, Tsukerman, Yablonovitch, Yuan, Čajko   +50 more
core   +1 more source

A meshless Galerkin method for non-local diffusion using localized kernel bases

Mathematics of Computation, 2018
We introduce a meshless method for solving both continuous and discrete variational formulations of a volume constrained, nonlocal diffusion problem. We use the discrete solution to approximate the continuous solution. Our method is nonconforming and uses a localized Lagrange basis that is constructed out of radial basis functions.
Lehoucq, R. B., Narcowich, F. J., Rowe, S. T., Ward, J. D.   +3 more
openaire   +2 more sources