Results 261 to 270 of about 71,442 (308)

Finite volume element method with Lagrangian cubic functions

Journal of Systems Science and Complexity, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuqiong Ding, Yonghai Li
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Combined finite volume–finite element method for shallow water equations

Computers & Fluids, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, JiWen, Liu, RuXun
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Superconvergence of finite volume element method for elliptic problems

Advances in Computational Mathematics, 2013
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The finite volume element methods for Poisson equation based on Adini’s element

Applied Mathematics and Computation, 2013
In this paper, we construct and analyze the finite volume element scheme based on Adini's element for Poisson equation, choosing trial and test spaces as the Adini's finite element space and the piecewise linear function space respectively. Optimal order error estimates in H^1 and L^2 norms are derived.
Changhua Yu, Yanhe Wang, Yonghai Li
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The finite volume element method with quadratic basis functions

Computing, 1996
A box method with quadratic basis functions is considered for the Dirichlet problem for the Poisson equation in polygon regions. The resulting grid systems are specified for square grid triangulations and more general ones. It should be noted that the corresponding matrices are non-symmetrical.
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A FINITE VOLUME ELEMENT METHOD FOR THERMAL CONVECTION PROBLEMS

Acta Mathematica Scientia, 2004
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A Rectangular Finite Volume Element Method for a Semilinear Elliptic Equation

Journal of Scientific Computing, 2008
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Zhiguang Xiong, Yanping Chen 0002
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The finite volume method in the context of the finite element method

Materials Today: Proceedings, 2022
Cheng-Chieh Wu, Daniel Völker, Sven Weisbrich, Frank Neitzel   +3 more
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SIMPLIFIED CONTROL-VOLUME FINITE-ELEMENT METHOD

Numerical Heat Transfer, Part B: Fundamentals, 1996
Localized 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, Theodor W. von Backström, J. Prieur du Plessis   +2 more
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Finite Volume Element Method for a Nonlinear Parabolic Equation

Advances in Applied Mathematics and Mechanics
Summary: 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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