A discontinuous mixed covolume method for elliptic problems

Yang, Q.; Jiang, Z.

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A discontinuous mixed covolume method for elliptic problems

机译：椭圆问题的不连续混合卷积方法

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摘要

We develop a discontinuous mixed covolume method for elliptic problems on triangular meshes. An optimal error estimate for the approximation of velocity is obtained in a mesh-dependent norm. First-order L2-error estimates are derived for the approximations of both velocity and pressure.

机译：我们针对三角形网格上的椭圆问题开发了一种不连续混合卷积方法。在依赖于网格的范数中获得了近似速度的最佳误差估计。一阶L2误差估计是针对速度和压力的近似值得出的。

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来源
《Journal of Computational and Applied Mathematics》 |2011年第8期|共10页
作者
Yang, Q.; Jiang, Z.;
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原文格式 PDF
正文语种 eng
中图分类计算数学;
关键词
Discontinuous Galerkin method; Elliptic problem; Mixed covolume method;

机译：间断Galerkin方法椭圆问题混合体积法;

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专利

1. A discontinuous mixed covolume method for elliptic problems [J] . Yang, Q., Jiang, Z. Journal of Computational and Applied Mathematics . 2011,第8期

机译：椭圆问题的不连续混合卷积方法
2. Discontinuous Mixed Covolume Methods for Linear Parabolic Integrodifferential Problems [J] . AilingZhu Journal of applied mathematics . 2014,第2期

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3. Mixed covolume methods for quasi-linear second-order elliptic problems [J] . Kwak DY., Kim KY. SIAM Journal on Numerical Analysis . 2000,第4期

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4. Numerical Study on the Expanded Mixed Covolume Method for One-Dimensional Sobolev Equation [C] . Na Li International Conference on Intelligent Computing, Communication and Devices . 2020

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5. Discontinuous Galerkin methods for Hamilton-Jacobi equations and high-dimensional elliptic equations [D] . Wang, Zixuan. 2015

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6. Discontinuous Mixed Covolume Methods for Parabolic Problems [O] . Ailing Zhu, Ziwen Jiang -1

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7. A discontinuous mixed covolume method for elliptic problems [O] . Yang Qing, Jiang Ziwen 2011

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8. Discontinuous dual-primal mixed finite elements for elliptic problems. [R] . Bottasso, C. L., Micheletti, S., Sacco, R. 2000

机译：椭圆问题的间断双原始混合有限元。

A discontinuous mixed covolume method for elliptic problems

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