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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
doaj   +1 more source

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
doaj   +1 more source

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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Robust BDDC algorithms for finite volume element methods

ETNA - Electronic Transactions on Numerical Analysis, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Su, Yanru, Tu, Xuemin, Xu, Yingxiang
openaire   +2 more sources

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.
doaj   +1 more source

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
doaj   +1 more source

Sustainable bioplastics manufacturing from renewable sources

FEBS Open Bio, EarlyView.
Bioplastics are manufactured by using polymers from different bio‐based sources. These novel materials not only offer biodegradability but also possess various functional properties that make them suitable for diverse applications. Recent developments in the preparation of bioplastics are reported, highlighting the distinct properties of each type of ...
C. Valeria L. Giosafatto, Marika Avitabile, Michela Famiglietti, Talayeh Kordjazi, Marzieh Moosavi‐Nasab, Odile F. Restaino, Loredana Mariniello   +6 more
wiley   +1 more source

Analysis of stabilized finite volume method for poisson equation

Mathematical Modelling and Analysis, 2013
In this work, we systematically analyze a stabilized finite volume method for the Poisson equation. On stating the convergence of this method, optimal error estimates in different norms are obtained by establishing the adequate connections between the ...
Tong Zhang, Pengzhan Huang, Shunwei Xu
doaj   +1 more source

Discretization of continuum physics – a comparison of numerical methods from a physical point of view; pp. 145–154 [PDF]

Proceedings of the Estonian Academy of Sciences, 2008
For numerical calculations in continuum physics partial differential equations and the space-time are discretized. This can be done in different ways. Common approaches are finite difference methods and finite element methods, more rarely finite volume ...
Heiko Herrmann
doaj   +1 more source