Results 31 to 40 of about 71,442 (308)

Conservative finite volume element schemes for the complex modified Korteweg–de Vries equation

International Journal of Applied Mathematics and Computer Science, 2017
The aim of this paper is to build and validate a class of energy-preserving schemes for simulating a complex modified Korteweg–de Vries equation. The method is based on a combination of a discrete variational derivative method in time and finite volume ...
Yan Jin-Liang, Zheng Liang-Hong
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Discontinuous finite volume element method of two-dimensional unsaturated soil water movement problem

Advances in Difference Equations, 2019
In this paper, a numerical approximation method for the two-dimensional unsaturated soil water movement problem is established by using the discontinuous finite volume method. We prove the optimal error estimate for the fully discrete format.
Fan Chen, Zhixiao Xu
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A combined finite volumes ‐ finite elements method for a low‐Mach model [PDF]

International Journal for Numerical Methods in Fluids, 2019
SummaryIn this paper, we develop a finite volumes ‐ finite elements method based on a time splitting to simulate some low‐Mach flows. The mass conservation equation is solved by a vertex‐based finite volume scheme using a τ‐limiter. The momentum equation associated with the compressibility constraint is solved by a finite element projection scheme. The
Calgaro, Caterina, Colin, Claire, Creusé, Emmanuel   +2 more
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Triangular prism finite element based on piecewise constant stress approximations

Magazine of Civil Engineering, 2023
The study object is a three-dimensional triangular prism finite element based on piecewise constant approximations of stresses. The use of such a finite element makes it possible to obtain more accurate stress values, especially at the boundaries of the ...
Tyukalov Yury
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On the finite volume element method

Numerische Mathematik, 1990
The author considers the problem \(-\nabla \cdot (A\nabla u)=f\) on a polygonal domain \(\Omega \subset {\mathbb{R}}^ 2\) with \(u=0\) on \(\Gamma_ 0\), \(A\nabla u\cdot n=g\) on \(\Gamma_ 1\), \(\Gamma_ 0\cup \Gamma_ 1=\partial \Omega\), A uniformly elliptic. The author considers piecewise linear functions v on a regular triangularization of \(\Omega\)
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Resource-efficient structural analysis: A volumetric finite element approach for eco-friendly engineering [PDF]

E3S Web of Conferences
The volumetric triangular prism finite element based on piecewise constant approximations of stresses is presented. The stress fields are continuous along finite element boundaries and discontinuous inside ones.
Tyukalov Yu. Ya.
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Flow and heat transfer coupling analysis of oil-gas two-phase fluid in clearance of single screw compressor based on fuzzy curvelet finite element method

Case Studies in Thermal Engineering, 2020
In order to analyze the flow and heat transfer coupling rules of oil-gas two-phase fluid in clearance of single screw compressor, the fuzzy curvelet finite element model is constructed based on fuzzy theory, curvelet transform and finite element method ...
Bin Zhao, Haoyang Song, Diankui Gao, Lizhi Xu   +3 more
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The Finite Volume Element Method for Time Fractional Generalized Burgers’ Equation

Fractal and Fractional
In this paper, we use the finite volume element method (FVEM) to approximate a one-dimensional, time fractional generalized Burgers’ equation. We construct the fully discrete finite volume element scheme for this equation by approximating the time ...
Jingru Zhang, Qing Yang
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Shear-induced permeability anisotropy in liquefiable sands [PDF]

E3S Web of Conferences
In principle, numerical simulations of boundary value problems that involve fluid-soil interaction should account for the evolution of permeability due to soil deformation.
Salomon José, Patino-Ramirez Fernando, O’Sullivan Catherine   +2 more
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A hybrid finite volume – finite element method for bulk–surface coupled problems [PDF]

Journal 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, Maxim A. Olshanskii, Yuri V. Vassilevski   +2 more
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