High-order accurate time-stepping schemes for convection- diffusion problems

J. Donea; B. Roig; A. Huerta

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High-order accurate time-stepping schemes for convection- diffusion problems

机译：对流扩散问题的高阶精确时间步长方案

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The paper discusses the formulation of high-order accurate time-stepping schemes for transient convection--diffusion problems to be combined with finite element methods of the least-squares type for a stable discretization of highly convective problems Pade ap- proximations of the exponential function are considered for deriving multi-stage time integration schemes involving first time deriv- atives only, thus easier to implement in conjunction with C_o finite elements than standard time-stepping schemes which incorporate higher-order time derivatives. After a brief discussion of the stability and accuracy properties of the multi-stage Pade, schemes and having underlined the similarity between Pade and Runge--Kutta methods, the paper closes with the presentation of illustrative examples which indicate the effectiveness of the proposed methods.

机译：本文讨论了瞬态对流-扩散问题的高阶精确时间步长公式的制定方法，并与最小二乘类型的有限元方法相结合，以稳定地离散高对流问题Pade逼近指数函数被认为是用于仅涉及一阶时间导数的多级时间积分方案的推导，因此与包含有限时间导数的标准时间步进方案相比，与C_o有限元结合起来更容易实现。在简要讨论了多阶段Pade方案的稳定性和准确性后，并强调了Pade方法和Runge-Kutta方法之间的相似性，本文以说明性示例结尾，说明了所提出方法的有效性。

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《Computer Methods in Applied Mechanics and Engineering》 |2000年第4期|共页
作者
J. Donea; B. Roig; A. Huerta;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
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High-order accurate time-stepping schemes for convection- diffusion problems

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