A Tikhonov-Type Regularization Method for Identifying the Unknown Source in the Modified Helmholtz Equation
Joint Authors
Gao, Jinghuai
Peng, Jigen
Wang, Dehua
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-24
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
An inverse source problem in the modified Helmholtz equation is considered.
We give a Tikhonov-type regularization method and set up a theoretical frame to analyze the convergence of such method.
A priori and a posteriori choice rules to find the regularization parameter are given.
Numerical tests are presented to illustrate the effectiveness and stability of our proposed method.
American Psychological Association (APA)
Gao, Jinghuai& Wang, Dehua& Peng, Jigen. 2012. A Tikhonov-Type Regularization Method for Identifying the Unknown Source in the Modified Helmholtz Equation. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029817
Modern Language Association (MLA)
Gao, Jinghuai…[et al.]. A Tikhonov-Type Regularization Method for Identifying the Unknown Source in the Modified Helmholtz Equation. Mathematical Problems in Engineering No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1029817
American Medical Association (AMA)
Gao, Jinghuai& Wang, Dehua& Peng, Jigen. A Tikhonov-Type Regularization Method for Identifying the Unknown Source in the Modified Helmholtz Equation. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029817
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029817