Upwind finite volume element methods for one-dimensional semiconductor device

Journal of Systems Science and Complexity ◽

10.1007/s11424-011-9021-4 ◽

2011 ◽

Vol 24 (5) ◽

pp. 1007-1019

Author(s):

Chuanjun Chen ◽

Wei Liu ◽

Daigang Lu

Keyword(s):

Finite Volume ◽

Semiconductor Device ◽

Volume Element ◽

One Dimensional ◽

Finite Volume Element

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A Maximum-Principle Satisfying Discontinuous Finite Volume Element Scheme for One-Dimensional Hyperbolic Conservation Laws

Advances in Applied Mathematics ◽

10.12677/aam.2020.911223 ◽

2020 ◽

Vol 09 (11) ◽

pp. 1934-1944

Author(s):

浩陈

Keyword(s):

Maximum Principle ◽

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Volume Element ◽

Element Scheme ◽

One Dimensional ◽

Hyperbolic Conservation ◽

Finite Volume Element

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Higher-order finite volume element methods based on Barlow points for one-dimensional elliptic and parabolic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21924 ◽

2014 ◽

Vol 31 (4) ◽

pp. 977-994 ◽

Author(s):

Min Yang

Keyword(s):

Finite Volume ◽

Higher Order ◽

Volume Element ◽

Parabolic Problems ◽

One Dimensional ◽

Finite Volume Element

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Quadratic Finite Volume Element Methods Based on Optimal Stress Points for Solving One-Dimensional Parabolic Problems

Proceedings of the International Conference on Advances in Energy, Environment and Chemical Engineering ◽

10.2991/aeece-15.2015.129 ◽

2015 ◽

Author(s):

Jiahui Sun ◽

Mingjuan Ma ◽

Shichun Pang ◽

Yongpo Zhang

Keyword(s):

Finite Volume ◽

Volume Element ◽

Parabolic Problems ◽

One Dimensional ◽

Finite Volume Element

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Finite Volume Element Approximations of Nonlocal in Time One-Dimensional Flows in Porous Media

Computing ◽

10.1007/s006070050007 ◽

2000 ◽

Vol 64 (2) ◽

pp. 157-182 ◽

Author(s):

R. E. Ewing ◽

R. D. Lazarov ◽

Y. Lin

Keyword(s):

Porous Media ◽

Finite Volume ◽

Volume Element ◽

One Dimensional ◽

Flows In Porous Media ◽

Finite Volume Element

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A mixed-finite volume element coupled with the method of characteristic fractional step difference for simulating transient behavior of semiconductor device of heat conductor and its numerical analysis

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-017-0721-y ◽

2017 ◽

Vol 33 (4) ◽

pp. 1053-1072 ◽

Author(s):

Yi-rang Yuan ◽

Qing Yang ◽

Chang-feng Li ◽

Tong-jun Sun

Keyword(s):

Numerical Analysis ◽

Finite Volume ◽

Semiconductor Device ◽

Transient Behavior ◽

Volume Element ◽

Fractional Step ◽

Heat Conductor ◽

Finite Volume Element

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Finite volume element approximation and analysis for a kind of semiconductor device simulation

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-009-0279-9 ◽

2009 ◽

Vol 33 (1-2) ◽

pp. 155-172

Author(s):

Chuanjun Chen ◽

Xiaohan Long

Keyword(s):

Finite Volume ◽

Semiconductor Device ◽

Device Simulation ◽

Volume Element ◽

Element Approximation ◽

Semiconductor Device Simulation ◽

Finite Volume Element

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Cubic superconvergent finite volume element method for one-dimensional elliptic and parabolic equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.10.013 ◽

2010 ◽

Vol 233 (9) ◽

pp. 2285-2301 ◽

Author(s):

Guanghua Gao ◽

Tongke Wang

Keyword(s):

Finite Volume ◽

Parabolic Equations ◽

Volume Element ◽

Finite Volume Element Method ◽

One Dimensional ◽

Elliptic And Parabolic Equations ◽

Finite Volume Element ◽

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Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.12.016 ◽

2021 ◽

Vol 86 ◽

pp. 1-15

Author(s):

Quanxiang Wang ◽

Jianqiang Xie ◽

Zhiyue Zhang ◽

Liqun Wang

Keyword(s):

Finite Volume ◽

Volume Element ◽

Interface Problems ◽

Matrix Coefficient ◽

Jump Conditions ◽

Finite Volume Element Method ◽

Elliptic Interface Problems ◽

Finite Volume Element ◽

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New finite volume element methods in the ALE framework for time-dependent convection–diffusion problems in moving domains

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113537 ◽

2021 ◽

pp. 113537

Author(s):

Yulong Gao ◽

Yonghai Li ◽

Guangwei Yuan ◽

Zhiqiang Sheng

Keyword(s):

Finite Volume ◽

Volume Element ◽

Time Dependent ◽

Convection Diffusion ◽

Moving Domains ◽

Finite Volume Element ◽

Diffusion Problems

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A finite volume element formulation and error analysis for the non-stationary conduction–convection problem

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.07.046 ◽

2012 ◽

Vol 396 (2) ◽

pp. 864-879 ◽

Author(s):

Hong Li ◽

Zhendong Luo ◽

Ping Sun ◽

Jing An

Keyword(s):

Error Analysis ◽

Finite Volume ◽

Volume Element ◽

Element Formulation ◽

Finite Volume Element ◽

Convection Problem

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