期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Regularization Strategy for the Cauchy Problem of Laplace's Equation from the Viewpoint of Regularization Theory

Regularization Strategy for the Cauchy Problem of Laplace's Equation from the Viewpoint of Regularization Theory
原文传递
导出
摘要 Within the framework of the regularization theory, a spectral regularization method is introduced and analyzed. The convergence estimate under an appropriate choice of regularization parameter is obtained. A numerical implementation is described. Numerical examples show that the proposed method is effective and stable. Within the framework of the regularization theory, a spectral regularization method is introduced and analyzed. The convergence estimate under an appropriate choice of regularization parameter is obtained. A numerical implementation is described. Numerical examples show that the proposed method is effective and stable.
作者 QIAN Ailin MAO Jianfeng
机构地区 School of Mathematics and Statistics
出处 《Wuhan University Journal of Natural Sciences》 CAS 2012年第4期285-289,共5页 武汉大学学报（自然科学英文版）
基金 Supported by the Youth Project of Hubei Provincial Department of Education (Q20102804) the Outstanding Young Team Project of Hubei Provincial Higher School (T201009)
关键词 ill-posed problems Cauchy problem REGULARIZATION error estimate spectral methods ill-posed problems； Cauchy problem； regularization； error estimate； spectral methods
分类号 O175.26 [理学—基础数学]
  • 相关文献

参考文献9

  • 1Fredrik B, Lars E. Numerical solution of a Cauchy problem for Laplace equation [J]. lnverse Probl, 2001, 17: 839-853.
  • 2Klibanov M V, Santosa F. A computational quasi-reversibility method for Cauchy problems for Laplace's equation [J]. SlAM JAppl Math, 1991, 5: 1653-1675.
  • 3Tikhonov A N, Arsenin V Y. Solutions of Ill-Posed Prob- lems[M]. Washington D C: Winston and Sons, 1997.
  • 4Hao D N, Lesnic D. The Cauchy for Laplace's equation via the conjugate gradient method [J]. 1MA J Appl Math, 2000, 65: 199-217.
  • 5Hon Y C, Wei T. Backus-Gilbert algorithm for the Cauchy problem of Laplace equation [J]. Inverse Probl, 2001, 17: 261-271.
  • 6Vani C, Avudainayagam A. Regularized solution of the Cauchy problem for the Laplace equation using Meyer wavelets [J]. Math ComputModel, 2002, 36: 1151-1159.
  • 7Tautenhahn U. Optimal stable solution of Cauchy problems for elliptic equation [J]. Journal for Analysis and Its Appli- cation, 1996, 4: 961-984.
  • 8Reinhardt H J, Han H, Hao D N. Stability and regularization of a discrete approximation to the Cauchy problem of Laplace's equation [J]. SIAM J Numer Anal 1999, 36: 890-905.
  • 9Reginska T, Reginski K. Approximate solution of a Cauchy problem for the Helmholtz equation [J]. Inverse Problems, 2006, 22: 975-989.
Wuhan University Journal of Natural Sciences
2012年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部