The Conjugate Gradient Method for the Dirichlet Problem and Its Modifications

机译：Dirichlet问题的共轭梯度法及其修正

获取原文

获取原文并翻译 | 示例

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper we consider a numerical solution of the non-classical Dirichlet problem and its modifications for the second-order two-dimensional hyperbolic equations. In order to determine the missing initial condition using an additional condition specified at the final time, an iterative method of conjugate gradient is used. A direct problem is numerically realized at each iteration. The efficiency of the proposed computational algorithm is confirmed by calculations for model two-dimensional problems.

机译：在本文中，我们考虑了非经典Dirichlet问题的数值解及其对二阶二维双曲方程的修正。为了使用最后一次指定的附加条件来确定缺少的初始条件，使用了共轭梯度的迭代方法。在每次迭代中都直接实现了一个直接的问题。通过模型二维问题的计算证实了所提出的计算算法的效率。

著录项

来源
《Finite difference methods: theory and applications》|2018年|588-595|共8页
会议地点 Lozenetz(BG)
作者
V. I. Vasilev; A. M. Kardashevsky; V. V. Popov;
展开▼
作者单位

North-Eastern Federal University, Yakutsk, Russia;

North-Eastern Federal University, Yakutsk, Russia;

North-Eastern Federal University, Yakutsk, Russia;

展开▼
会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
Hyperbolic equation; Inverse problem; Dirichlet problem; Finite difference method; Iterative method; Conjugate gradients method; Random errors;

机译：双曲方程；反问题； Dirichlet问题；有限差分法；迭代方法；共轭梯度法随机误差;

相似文献

外文文献
中文文献
专利

1. Identification of an unknown time-dependent heat source term from overspecified Dirichlet boundary data by conjugate gradient method [J] . Alemdar Hasanov, Burhan Pektas Computers & mathematics with applications . 2013,第1期

机译：共轭梯度法从超规定Dirichlet边界数据中识别未知的时变热源项
2. Modifications of Steepest Descent Method and Conjugate Gradient Method Against Noise for Ill-posed Linear Systems [J] . Chein-Shan Liu Communications in Numerical Analysis . 2012,第6期

机译：不适定线性系统对噪声的最速下降法和共轭梯度法的修正
3. Global Convergence of a New Conjugate Gradient Methods with a Modification of the Curry-Altman Step-size Rule [J] . CAOLi-hua, SUNQing-ying 数学季刊：英文版 . 2004,第002期

机译：一种新的共轭梯度方法的全局收敛性，并修改了Curry-Altman步长规则
4. The Conjugate Gradient Method for the Dirichlet Problem and Its Modifications [C] . V. I. Vasilev, A. M. Kardashevsky, V. V. Popov International Conference on Finite Difference Methods . 2019

机译：Dirichlet问题的共轭梯度方法及其修改
5. Convergence to steady-state of weighted ENO schemes, norm preserving Runge-Kutta methods and a modified conjugate gradient method. [D] . Gottlieb, Sigal. 1998

机译：加权ENO方案的稳态收敛，范数保留Runge-Kutta方法和改进的共轭梯度方法。
6. On the First Variation of the Dirichlet-Douglas Integral and on the Method of Gradients [O] . Richard Courant 1941

机译：Dirichlet-Douglas积分的第一阶变分和梯度法
7. Modifications of Steepest Descent Method and Conjugate Gradient Method Against Noise for Ill-posed Linear Systems [O] . Chein-Shan Liu 2012

机译：对于不适定线性系统，最速下降法和共轭梯度法对噪声的修正
8. The Conjugate Gradient Method and Its Application to Aerospace Vehicle Guidance and Control. Part I. Basic Results in the Conjugate Gradient Method [R] . Leondes, C. T., Wu, C. A. 1970

机译：共轭梯度法及其在航天飞行器制导控制中的应用。第一部分共轭梯度法的基本结果

The Conjugate Gradient Method for the Dirichlet Problem and Its Modifications

摘要

著录项

相似文献

相关主题

期刊订阅