An Iterative Regularization Method to Solve the Cauchy Problem for the Helmholtz Equation

Joint Authors

Zhu, Ping
Gao, Jie
Cheng, Hao

Source

Mathematical Problems in Engineering

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-25

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Civil Engineering

Abstract EN

A regularization method for solving the Cauchy problem of the Helmholtz equation is proposed.

The a priori and a posteriori rules for choosing regularization parameters with corresponding error estimates between the exact solution and its approximation are also given.

The numerical example shows the effectiveness of this method.

American Psychological Association (APA)

Cheng, Hao& Zhu, Ping& Gao, Jie. 2014. An Iterative Regularization Method to Solve the Cauchy Problem for the Helmholtz Equation. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-508016

Modern Language Association (MLA)

Cheng, Hao…[et al.]. An Iterative Regularization Method to Solve the Cauchy Problem for the Helmholtz Equation. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-508016

American Medical Association (AMA)

Cheng, Hao& Zhu, Ping& Gao, Jie. An Iterative Regularization Method to Solve the Cauchy Problem for the Helmholtz Equation. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-508016

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-508016