Results 11 to 20 of about 603,208 (314)

A Mixed Finite Volume Element Method for Time-Fractional Damping Beam Vibration Problem

open access: yesFractal and Fractional, 2022
In this paper, the transverse vibration of a fractional viscoelastic beam is studied based on the fractional calculus, and the corresponding scheme of a viscoelastic beam is established by using the mixed finite volume element method.
Tongxin Wang   +3 more
doaj   +1 more source

Numerical Analysis of Fourier Finite Volume Element Method for Dirichlet Boundary Optimal Control Problems Governed by Elliptic PDEs on Complex Connected Domains

open access: yesMathematics, 2022
In this research, we investigate an optimal control problem governed by elliptic PDEs with Dirichlet boundary conditions on complex connected domains, which can be utilized to model the cooling process of concrete dam pouring.
Mengya Su, Liuqing Xie, Zhiyue Zhang
doaj   +1 more source

Adaptive stabilized finite volume method and convergence analysis for the Oseen equations

open access: yesBoundary Value Problems, 2018
In this paper, based on the pressure project method, we consider an adaptive stabilized finite volume method for the Oseen equations with the lowest equal order finite element pair. Firstly, we develop the discrete forms in both finite element and finite
Junxiang Lu, Tong Zhang
doaj   +1 more source

The finite volume element method for the two-dimensional space-fractional convection–diffusion equation

open access: yesAdvances in Difference Equations, 2021
We develop a fully discrete finite volume element scheme of the two-dimensional space-fractional convection–diffusion equation using the finite volume element method to discretize the space-fractional derivative and Crank–Nicholson scheme for time ...
Yanan Bi, Ziwen Jiang
doaj   +1 more source

Connection between finite volume and mixed finite element methods [PDF]

open access: yesESAIM: Mathematical Modelling and Numerical Analysis, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baranger, Jacques   +2 more
openaire   +2 more sources

A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we provide a new type of study approach for the two-dimensional (2D) Sobolev equations. We first establish a semi-discrete Crank-Nicolson (CN) formulation with second-order accuracy about time for the 2D Sobolev equations. Then we directly
Zhendong Luo
doaj   +1 more source

Coupled Finite Volume and Finite Element Method Analysis of a Complex Large-Span Roof Structure

open access: yesInternational Journal of Applied Mechanics and Engineering, 2017
The main goal of this paper is to present coupled Computational Fluid Dynamics and structural analysis for the precise determination of wind impact on internal forces and deformations of structural elements of a longspan roof structure. The Finite Volume
J. Szafran, K. Juszczyk, M. Kamiński
doaj   +1 more source

Mixed finite element-finite volume methods

open access: yesBulletin of the Belgian Mathematical Society - Simon Stevin, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zine Dine, Khadija   +2 more
openaire   +3 more sources

The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation

open access: yesAbstract and Applied Analysis, 2013
A finite volume element method for approximating the solution to two-dimensional Burgers equation is presented. Upwind technique is applied to handle the nonlinear convection term.
Qing Yang
doaj   +1 more source

A hybrid finite volume – finite element method for bulk–surface coupled problems [PDF]

open access: yesJournal of Computational Physics, 2018
The paper develops a hybrid method for solving a system of advection--diffusion equations in a bulk domain coupled to advection--diffusion equations on an embedded surface. A monotone nonlinear finite volume method for equations posed in the bulk is combined with a trace finite element method for equations posed on the surface.
Alexey Y. Chernyshenko   +2 more
openaire   +3 more sources

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