Enhanced residual-free bubble method for convection-diffusion problems

A. Cangiani; E. Suli

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Enhanced residual-free bubble method for convection-diffusion problems

机译：改进的无残留气泡法求解对流扩散问题

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摘要

We analyse the performance of the enhanced residual-free bubble (RFBe) method for the solution of elliptic convection-dominated convection-diffusion problems in 2-D, and compare the present method with the standard residual-free bubble (RFB) method. The advantages of the RFBe method are two-fold: it has better stability properties and it can be used to resolve boundary layers with high accuracy on globally coarse meshes.

机译：我们分析了增强的无残留气泡（RFBe）方法在求解二维对流椭圆对流扩散问题时的性能，并将本方法与标准无残留气泡（RFB）方法进行了比较。 RFBe方法的优点有两方面：它具有更好的稳定性，可用于在全局粗网格上高精度地解析边界层。

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《International Journal for Numerical Methods in Fluids》 |2005年第11期|共7页
作者
A. Cangiani; E. Suli;
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原文格式 PDF
正文语种 eng
中图分类流体力学;
关键词
Convection-diffusion; Residual-free bubbles;

机译：对流扩散;无残留气泡;

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专利

1. Enhanced residual-free bubble method for convection-diffusion problems [J] . A. Cangiani, E. Suli International Journal for Numerical Methods in Fluids . 2005,第10a11期

机译：改进的无残留气泡法求解对流扩散问题
2. Enhanced residual-free bubble method for convection-diffusion problems [J] . A. Cangiani, E. Suli International Journal for Numerical Methods in Fluids . 2005,第10a11期

机译：改进的无残留气泡法求解对流扩散问题
3. On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method [J] . L.P. Franca, A. Nesliturk, M. Stynes Computer Methods in Applied Mechanics and Engineering . 1998,第1a2期

机译：对流扩散问题的无残留气泡的稳定性及其两级有限元逼近
4. Residual-free bubble shape functions used in BEM for the stability of the solution of the convective-diffusion transport equation [C] . P. Kocutar, L. Skerget, J. Ravnik International Conference on Boundary Elements and Other Mesh Reduction Methods . 2012

机译：BEM中使用的无残留的气泡形状功能，用于对流 - 扩散传输方程溶液的稳定性
5. Edge-Averaged Virtual Element Methods for Convection-Diffusion Problems [D] . Lee, Seulip. 2021

机译：对流扩散问题的边缘平均虚拟元素方法
6. Superconvergence of the local discontinuous Galerkin method for nonlinear convection-diffusion problems [O] . Hui Bi, Chengeng Qian -1

机译：非线性对流扩散问题的局部不连续Galerkin方法的超收敛性
7. Applications of the Pseudo Residual-Free Bubbles to the Stabilization of Convection-Diffusion Problems [O] . F. Brezzi, D. Marini, A. Russo 100

机译：伪残余气泡在对流扩散问题稳定中的应用

Enhanced residual-free bubble method for convection-diffusion problems

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