Results 61 to 70 of about 1,042 (183)

A numerical framework coupling finite element and meshless methods in sequential and parallel simulations. [PDF]

Finite Elem Anal Des, 2023
Nguyen VD, Kirchhelle C, Abdollahi A, García Grajales JA, Li D, Benatia K, Gorbunov K, Bielle S, Goriely A, Jérusalem A.   +9 more
europepmc   +1 more source

Unsymmetric meshless methods for operator equations [PDF]

Numerische Mathematik, 2009
The author proposes a general approach for approximatively solving the well-posed linear operator equations in normed linear spaces. The operators need not be elliptic and the problems can be posed in weak or strong form without changing the theory. The paper seems to be the first to provide a rigid mathematical foundation of certain variations of the `
openaire   +4 more sources

Numerical study of a nonlinear COVID-19 pandemic model by finite difference and meshless methods. [PDF]

Partial Differ Equ Appl Math, 2022
Zarin R.
europepmc   +1 more source

A Frictionless Contact Algorithm for Meshless Methods

The International Conference on Computational & Experimental Engineering and Sciences, 2006
An approach to the treatment of contact problems involving frictionless sliding and separation under large deformations in meshless methods is proposed. The method is specially suited for non-structured spatial discretisation. The contact conditions are imposed using a contact potential for particles in contact.
Vignjevic, R., De Vuyst, T., Campbell, J. C.   +2 more
openaire   +2 more sources

Free surface groundwater flow solution using boundary collocation methods

MATEC Web of Conferences, 2018
In this paper, two meshless numerical algorithms are developed for the solution of two-dimensional steady-state diffusion equation that describes the stationary groundwater flow.
Mužík Juraj, Bulko Roman
doaj   +1 more source

Application of the Finite Pointset Method to Numerical Modeling of Heat Transferin Two-dimensional Tissue Subjected to a Moving Laser Beam

Computer Assisted Methods in Engineering and Science
In this article, a numerical analysis of thermal processes occurring in biological tissue during laser irradiation is presented. The mathematical model is based on the two-dimensional Pennes equation.
Anna Korczak, Felix R. Saucedo-Zendejo
doaj   +1 more source

Applocation of Twice-interpolation FEM in Geo-engineering

工程科学与技术, 2010
:Aiming at the defects of FEM method such as iso-parametrical mesh, the triangular (tetrahedral) mesh and the meshless, the theory of TFEM was introduced.
Qi Wenbang, Zheng Chao
doaj  

On the Use of the Meshless Material Point Method for Microelectronic Devices

Mathematics
In this work, the Material Point Method (MPM) is reviewed for application in the microelectronics industry. Microelectronic processes often involve large deformations, evolving interfaces, multiphysics coupling, and complex geometries that challenge ...
Sjoerd D. M. de Jong, Willem D. van Driel, Guoqi Zhang   +2 more
doaj   +1 more source

Kinetic Meshless Method

, 2003
We propose a new method called the Kinetic Meshless Method (KMM), for the solution of time-dependent conservation laws that can be derived from a Boltzmann-type equation by taking suitable moments. An important characteristic of this method is its grid-free nature; it is able to use any type of grid or combination of grids, or even some distribution of
Chandrashekar, Praveen, Deshpande, SM
openaire   +1 more source

A New Method of Solving the Time-Fractional Mixed Nonlinear Diffusion and Diffusion-Wave Equation

Fractal and Fractional
It is well known that meshless methods are effective for solving fractional differential equations on both regular and irregular domains. However, many commonly used basis functions such as Legendre wavelets and B-splines are naturally defined on ...
Hong Du, Zhong Chen, Tiejun Yang
doaj   +1 more source