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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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Computers and Mathematics with Applications, 2021
In this paper, a new bilinear immersed finite volume element method based on rectangular mesh is presented to solve the elliptic interface problems with non-homogeneous jump conditions and sharp-edged interfaces.
Quanxiang Wang +3 more
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In this paper, a new bilinear immersed finite volume element method based on rectangular mesh is presented to solve the elliptic interface problems with non-homogeneous jump conditions and sharp-edged interfaces.
Quanxiang Wang +3 more
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Discontinuous finite volume element method for Darcy flows in fractured porous media
Journal of Computational and Applied Mathematics, 2021This paper presents a numerical simulation of the single phase Darcy flow model in two-dimensional fractured porous media. Under some physically consistent coupling conditions, the model can be described as a reduced problem by coupling the bulk problem ...
Rui Li +3 more
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IEEE Transactions on Electron Devices, 2021
This article presents the construction and analysis of a hybrid numerical method for the discretization of the convection-dominated nonlinear carrier transport process in semiconductor devices.
Dawei Wang +7 more
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This article presents the construction and analysis of a hybrid numerical method for the discretization of the convection-dominated nonlinear carrier transport process in semiconductor devices.
Dawei Wang +7 more
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Journal of Computational Physics, 2020
In this paper, we propose a new immersed finite volume element method to solve elliptic problems with discontinuous diffusion coefficient and sharp-edged interfaces on Cartesian mesh.
Quanxiang Wang, Zhiyue Zhang, Liqun Wang
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In this paper, we propose a new immersed finite volume element method to solve elliptic problems with discontinuous diffusion coefficient and sharp-edged interfaces on Cartesian mesh.
Quanxiang Wang, Zhiyue Zhang, Liqun Wang
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Control‐volume mixed finite element methods
Computational Geosciences, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cai, Z. +3 more
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