Results 251 to 260 of about 20,187,107 (292)
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The finite volume method in the context of the finite element method
Materials Today: Proceedings, 2022Cheng-Chieh Wu +3 more
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Finite Volume Element Method for a Nonlinear Parabolic Equation
Advances in Applied Mathematics and MechanicsSummary: In this article, we study a parabolic equation with both nonlinear time-derivative term and nonlinear diffusion term by the finite volume element method. The optimal error estimate in \(H^1\)-norm is proved for fully discrete scheme. The suboptimal error estimate in \(L^2\)-norm is proved both for semi-discrete scheme and fully discrete scheme.
Du, Yanwei, Li, Yonghai
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Analysis on a Finite Volume Element Method for Stokes Problems
Acta Mathematicae Applicatae Sinica, English Series, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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SIMPLIFIED CONTROL-VOLUME FINITE-ELEMENT METHOD
Numerical Heat Transfer, Part B: Fundamentals, 1996Localized vector algebra treatment of nonorthogonality is applied to two-dimensional quadrilateral control volumes using Cartesian base vectors in a primitive variable formulation of the Navier-Stokes equations for steady incompressible laminar flow. With optional grid-aligned, locally analytic interpolation, a simplified control-volume finite-element ...
Thomas M. Harms +2 more
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Finite volume element methods for non-definite problems
Numerische Mathematik, 1999For the 2-D and 3-D non-definite problems error estimates are derived for finite volume element methods. It is proved that the simple upwind scheme for the solution of this problem is unconditionally stable and has first-order accuracy.
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Error analysis of finite element and finite volume methods for some viscoelastic fluids
Journal of Numerical Mathematics, 2016AbstractWe present the error analysis of a particular Oldroyd-B type model with the limiting Weissenberg number going to infinity. Assuming a suitable regularity of the exact solution we study the error estimates of a standard finite element method and of a combined finite element/finite volume method.
Mária Lukácová-Medvid'ová +3 more
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Control volume finite element method for radiation
Journal of Quantitative Spectroscopy and Radiative Transfer, 2005In this paper a new methodology is presented by the authors for the numerical treatment of radiative heat transfer in emitting, absorbing and scattering media. This methodology is based on the utilisation of Control Volume Finite Element Method (CVFEM) and the use, for the first time, of matrix formulation of the discretized Radiative Transfer Equation
M. Ben Salah +3 more
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A FINITE VOLUME ELEMENT METHOD FOR THERMAL CONVECTION PROBLEMS
Acta Mathematica Scientia, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Finite element integration for the control volume method
Communications in Numerical Methods in Engineering, 1996The paper presents a contribution to the endeavour to combine the advantages of the finite element method (FEM) with those of the control volume method (CVM). The authors give an interpretation of the FEM that allows it to be treated like a CVM. This formal CVM which is based on FEM techniques is described.
Neises, Jürgen, Steinbach, Ingo
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A Combined Finite-Element and Finite-Volume Method in Reservoir Simulation
2010 Second World Congress on Software Engineering, 2010A decoupled algorithm which combines finite-element and finite-volume method (FEM & FVM) for reservoir simulation is presented in the paper. The governing equations of fluid flowing in porous medium are decoupled to solve unknown parameters of pressure and saturation.
null Yang Junzheng +3 more
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