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Helmholtz方程Cauchy问题的滤波正则化方法

发表时间:2009-07-15  浏览量:1505  下载量:656
全部作者: 程浩,冯晓莉,傅初黎
作者单位: 兰州大学数学与统计学院
摘 要: Helmholtz方程Cauchy问题是一个严重的不适定问题,即问题的解(如果存在)不连续依赖于定解数据。采用滤波正则化方法,恢复了解对定解数据的连续依赖性,并得到问题的精确解和正则化近似解之间的Holder型误差估计。
关 键 词: 应用数学;Helmholtz方程Cauchy问题;不适定问题;滤波正则化
Title: Filtering regularization method for solving the�Cauchy problem of the Helmholtz equation
Author: CHENG Hao, FENG Xiaoli, FU Chuli
Organization: School of Mathematics and Statistics, Lanzhou University
Abstract: The Cauchy problem of the Helmholtz equation is severely ill-posed, i.e.〖KG-*3〗, the solution (if it exists) does not continuously depend on the data. This paper adopts the filtering regularization method to recover the solution’s continuous dependence on the data and obtains the H錸lder-type error estimation between the exact solution and the regularized approximate solution.
Key words: applied mathematics; the Cauchy problem of the Helmholtz equation; ill-posed problem; filtering regularization
发表期数: 2009年7月第13期
引用格式: 程浩,冯晓莉,傅初黎. Helmholtz方程Cauchy问题的滤波正则化方法[J]. 中国科技论文在线精品论文,2009,2(13):1402-1406.
 
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