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

Civil Engineering

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