Adaptive stabilized finite volume method and convergence analysis for the Oseen equations
Boundary 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
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A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations
Journal 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
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Advances 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
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Coupled Finite Volume and Finite Element Method Analysis of a Complex Large-Span Roof Structure
International 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
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A control volume-based finite element method for plane micropolar elasticity [PDF]
, 2008 This paper describes the development of a numerical procedure for predicting deformations and stresses in a loaded two-dimensional membrane exhibiting micropolar or Cosserat constitutive behaviour. The procedure employs a conventional finite element (FE)
Wheel, M.A.
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The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation
Abstract 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
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A control volume based formulation of the discrete Kirchoff triangular thin plate bending element [PDF]
, 2009 A control volume method is presented for predicting the displacement and rotation of thin transversely loaded flat plates. The new procedure uses discrete Kirchoff triangle (DKT) elements but introduces a dual mesh of interconnected control volumes (CVs)
Wheel, M. A., Beveridge, A. J.
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Analysis of delamination growth with discontinuous finite elements [PDF]
, 2011 In this contribution a new finite element is presented for the simulation of delamination growth in thin layered composite materials. The element is based on the solid-like shell element, a volume element that can be used in very thin applications due to
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On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations
Journal of Mathematics, 2013 Finite volume element schemes for non-self-adjoint parabolic integrodifferential equations are derived and stated. For the spatially discrete scheme, optimal-order error estimates in , , and , norms for are obtained.
Mohamed Bahaj, Anas Rachid
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Computational analysis of contamination in Kojima Lake using upwind-type finite element method [PDF]
, 1998 We have computed the phase of spreading contaminations in Kojima Lake by using the upwind-type finite element method. We have treated the two cases: the pollutant flows from the Sasagase river and from the Kurashiki River.
Sasaki, Toru +2 more
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