Towards physically admissible reduced-order solutions for convection diffusion problems

Giere Swetlana; John Volker

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Towards physically admissible reduced-order solutions for convection diffusion problems

机译：用于对流扩散问题的物理允许的减少解决方案

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This note proposes, analyzes, and studies numerically a regularization approach in the computation of the initial condition for reduced-order models (ROMs) of convection diffusion equations. The aim of this approach consists in reducing significantly spurious oscillations in the ROM solutions. (C) 2017 Elsevier Ltd. All rights reserved.

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《Applied mathematics letters》 |2017年第2017期|共6页
作者
Giere Swetlana; John Volker;
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作者单位

Leibniz Inst Forsch Verbund Berlin eV WIAS Weierstrass Inst Appl Anal &

Stochast Mohrenstr 39 D-10117 Berlin Germany;

Leibniz Inst Forsch Verbund Berlin eV WIAS Weierstrass Inst Appl Anal &

Stochast Mohrenstr 39 D-10117 Berlin Germany;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Reduced order models (ROMs); Proper orthogonal decomposition; Convection-dominated equations; ROM initial condition; Differential filter;

机译：减少订单模型（ROM）;正确的正交分解;对流主导的方程;ROM初始条件;差分滤波器;

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3. Local improvements to reduced-order approximations of optimal control problems governed by diffusion-convection-reaction equation [J] . Akman Tugba Computers & mathematics with applications . 2015,第2期

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5. A novel method for the solution of convection-diffusion problems with applications to nitric oxide production and transport in vitro. [D] . Fadel, Aiman Amir. 2009

机译：一种解决对流扩散问题的新方法，并应用于一氧化氮的体外生产和运输。
6. Numerical solution of the one-dimensional fractional convection diffusion equations based on Chebyshev operational matrix [O] . Jiaquan Xie, Qingxue Huang, Xia Yang -1

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7. Local Improvements to Reduced-Order Approximations of Optimal Control Problems Governed by Diffusion-Convection-Reaction Equation [O] . 2014

机译：扩散 - 对流 - 反应方程控制的最优控制问题的降阶近似的局部改进

Towards physically admissible reduced-order solutions for convection diffusion problems

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