Results 31 to 40 of about 20,187,107 (292)
A fully discrete evolving surface finite element method [PDF]
, 2012 In this paper we consider a time discrete evolving surface finite element method for the advection and diffusion of a conserved scalar quantity on a moving surface.
Dziuk, Gerhard, Elliott, Charles M.
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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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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 +2 more
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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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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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Resource-efficient structural analysis: A volumetric finite element approach for eco-friendly engineering [PDF]
E3S Web of ConferencesThe 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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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 +3 more
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
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The Finite Volume Element Method for Time Fractional Generalized Burgers’ Equation
Fractal and FractionalIn 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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