Results 31 to 40 of about 14,667 (217)

The collocation and meshless methods for differential equations in R(2)

, 2007
In recent years, meshless methods have become popular ones to solve differential equations. In this thesis, we aim at solving differential equations by using Radial Basis Functions, collocation methods and fundamental solutions (MFS).
Jarjees, Thamira Abid
core   +1 more source

Localized boundary-domain integral formulations for problems with variable coefficients [PDF]

, 2002
Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE).
Mikhailov, SE
core   +1 more source

Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters

Journal of Innovative Science and Engineering, 2019
The meshless radial basis function collocation method is an efficient numerical technique for solving partial differential equations. The multiquadric is the most widely utilized radial function for this purpose; but it contains a shape parameter, which ...
Tayfun TANBAY
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

Adaptive meshless centres and RBF stencils for Poisson equation [PDF]

, 2011
We consider adaptive meshless discretisation of the Dirichlet problem for Poisson equation based on numerical differentiation stencils obtained with the help of radial basis functions. New meshless stencil selection and adaptive refinement algorithms are
Babuska, Benito, Boyd, Buhmann, Cecil, Dang Thi Oanh, Davydov, Davydov, Davydov, Davydov, Ding, Du, Duarte, Fasshauer, Floater, Idelsohn, Iske, Jensen, Kamruzzaman, Lee, Liszka, Liszka, Liu, Liu, Lu, Löhner, Melenk, Mitchell, Nguyen, Oleg Davydov, Oñate, Perazzo, Rabczuk, Schaback, Schönauer, Seibold, Shen, Shu, Tolstykh, Wendland, Wright   +40 more
core   +1 more source

A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels

, 2018
Recent developments have made it possible to overcome grid-based limitations of finite difference (FD) methods by adopting the kernel-based meshless framework using radial basis functions (RBFs). Such an approach provides a meshless implementation and is
Fasshauer, Gregory E, Ling, Leevan, Mishra, Pankaj K, Sen, Mrinal K   +3 more
core   +1 more source

Meshless method for the numerical solution of the Fokker–Planck equation

Ain Shams Engineering Journal, 2015
In this paper numerical meshless method for solving Fokker–Planck equation is considered. This meshless method is based on multiquadric radial basis function and collocation method to approximate the solution.
Maysam Askari, Hojatollah Adibi
doaj   +1 more source

Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical meshless method

AIMS Mathematics, 2021
This paper proposes a local semi-analytical meshless method for simulating heat conduction in nonlinear functionally graded materials. The governing equation of heat conduction problem in nonlinear functionally graded material is first transformed to an ...
Chao Wang, Fajie Wang, Yanpeng Gong
doaj   +1 more source

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

Slit tube responses and rock fracture characteristics in slit charge blasting under high in situ stress

Deep Underground Science and Engineering, EarlyView.
In this article, the finite element method‐smoothed particle hydrodynamics adaptive coupling algorithm is applied to numerically simulate and analyze the dynamic response of the slit tube and the crack propagation under high in situ stress. The dynamic response of the slit tube mainly exhibits radial response in the vertical direction of the slit and ...
Zhe Sui, Liyun Yang, Lijun Wu, Chenxi Ding   +3 more
wiley   +1 more source