Error estimates for the RT0 and PWCF methods for the diffusion equations on triangular and tetrahedral meshes

Kuznetsov Yuri A.

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Error estimates for the RT0 and PWCF methods for the diffusion equations on triangular and tetrahedral meshes

机译：三角和四面体网格上扩散方程的RT0和PWCF方法的误差估计

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摘要

In this paper, we give a brief overview of some results on error estimates for the flux vector functions in RT0 and PWCF discretizations for the diffusion equations.

机译：在本文中，我们简要概述了有关扩散方程的RT0和PWCF离散化中通量矢量函数的误差估计的一些结果。

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来源
《Russian Journal of Numerical Analysis and Mathematical Modelling》 |2015年第2期|95-102|共8页
作者
Kuznetsov Yuri A.;
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作者单位

Univ Houston, Dept Math, 641 PGH, Houston, TX 77204 USA;

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正文语种 eng
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Diffusion equation; mixed finite element method; polygonal and polyhedral meshes; piece-wise constant fluxes; error estimates;

机译：扩散方程混合有限元法多边形和多面体网格分段恒定通量误差估计;

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1. Monotonicity in RT0 and PWCF Methods on Triangular and Tetrahedral Meshes [J] . E. Kikinzon, Y.Kuznetsov, Z. Liu Lobachevskii journal of mathematics . 2016,第5期

机译：RT0和PWCF方法在三角和四面体网格上的单调性
2. Edge residuals dominate a posteriori error estimates for linear finite element methods on anisotropic triangular and tetrahedral meshes [J] . Kunert G., Verfurth R. Numerische Mathematik . 2000,第2期

机译：各向异性三角形和四面体网格上的线性有限元方法，边缘残差支配后验误差估计
3. Error Estimates for Triangular and Tetrahedral Finite Elements in Combination with a Trajectory Approximation of the First Derivatives for Advection–Diffusion Equations [J] . H. Chen, Q.Lin, V. V. Shaidurov, Numerical analysis and applications . 2011,第4期

机译：对流扩散方程的三角形和四面体有限元与一阶导数的轨迹近似组合的误差估计
4. Recent Developments in the CESE Method for the Solution of the Navier-Stokes Equations Using Unstructured Triangular or Tetrahedral Meshes with High Aspect Ratio [C] . Sin-Chung Chang, Chau-Lyan Chang, Joseph C. Yen AIAA computational fluid dynamics conference . 2013

机译：CESE方法用于使用高纵横比的非结构化三角形或四面体网格求解Navier-Stokes方程的最新进展
5. Numerical methods for advection-diffusion equations on locally refined meshes. [D] . Martynenko, Andrey. 2004

机译：局部精细网格上对流扩散方程的数值方法。
6. A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay [O] . Wansheng Wang, Lijun Yi, Aiguo Xiao -1

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7. Robust a posteriori error estimation for a singularly perturbed reaction-diffusion equation on anisotropic tetrahedral meshes [O] . Kunert Gerd 2000

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8. Recent Development in the CESE Method for the Solution of the Navier-Stokes Equations Using Unstructured Triangular or Tetrahedral Meshes With High Aspect Ratio [R] . Chang, S C, Chang, CL, Yen, J C 2013

机译：利用高纵横比非结构三角网格或四面体网格求解Navier-stokes方程的CEsE方法的最新进展

Error estimates for the RT0 and PWCF methods for the diffusion equations on triangular and tetrahedral meshes

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