Results 1 to 10 of about 603,208 (314)
Advances in Difference Equations, 2020 In this article, a finite volume element method with the second-order weighted and shifted Grünwald difference (WSGD) formula is proposed and studied for nonlinear time fractional mobile/immobile transport equations on triangular grids. By using the WSGD
Jie Zhao +3 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 \(\Omega\)
Z. Cai
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AIMS Mathematics, 2021 In this paper, a two-grid mixed finite volume element (MFVE) algorithm is presented for the nonlinear time fractional reaction-diffusion equations, where the Caputo fractional derivative is approximated by the classical $ L1 $-formula.
Zhichao Fang +3 more
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New superconvergent structures developed from the finite volume element method in 1D [PDF]
Mathematics of Computation, 2020 New superconvergent structures are introduced by the finite volume element method (FVEM), which allow us to choose the superconvergent points freely. The general orthogonal condition and the modified M-decomposition (MMD) technique are established to ...
Xiang Wang, Junliang Lv, Yonghai Li
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A Finite Volume Method to Solve the Ill-Posed Elliptic Problems
Mathematics, 2022 In this paper, we propose a finite volume element method of primal-dual type to solve the ill-posed elliptic problem, that is, the elliptic problem with lacking or overlapping boundary value condition.
Ying Sheng, Tie Zhang
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A hybrid finite element–finite volume method for conservation laws
Applied Mathematics and Computation, 2023 We propose an arbitrarily high-order accurate numerical method for conservation laws that is based on a continuous approximation of the solution. The degrees of freedom are point values at cell interfaces and moments of the solution inside the cell. To lowest ($3^\text{rd}$) order this method reduces to the Active Flux method. The update of the moments
Abgrall, Remi, Barsukow, Wasilij
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Finite element method to solve engineering problems using ansys [PDF]
MATEC Web of Conferences, 2021 The Finite Element Analysis method, is a powerful computational technique for approximate solutions to a variety of real – world engineering problems having complex domains subjected to general boundary conditions.
Şimon-Marinică Adrian Bogdan +3 more
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Journal of Materials Research and Technology, 2022 Based on the Gurson-Tvergaard-Needleman (GTN) damage model, the damage evolution and ductile fracture of 7075 aluminum alloy sheets during the tensile process were predicted. First, the true stress–strain curve and micro morphology of 7075 aluminum alloy
Hongchao Ji +4 more
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Damage Detection in Beam-like Structures Applying Finite Volume Method [PDF]
Journal of Rehabilitation in Civil Engineering, 2017 In this article, a damage location in beam like-structure is determined using static and dynamic data obtained applying the finite volume method. The modification of static and dynamic displacement due to damage is applied to establish an indicator for ...
Benyamin Mohebi +2 more
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A Pressure-Based Fully-Coupled Flow Algorithm for the Control Volume Finite Element Method
Applied Sciences, 2022 A pressure-based fully-coupled flow algorithm is developed for the control volume finite element method (CVFEM), which covers speeds up to the transonic regime.
Luca Mangani +4 more
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