Two numerical methods for an inverse problem for the 2-D Helmholtz equation

Journal of Computational Physics ◽

10.1016/s0021-9991(02)00023-2 ◽

2003 ◽

Vol 184 (1) ◽

pp. 122-148 ◽

Author(s):

Yuriy A. Gryazin ◽

Michael V. Klibanov ◽

Thomas R. Lucas

Keyword(s):

Inverse Problem ◽

Numerical Methods ◽

Helmholtz Equation

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Asymptotic forms of the solution of the inverse problem for the helmholtz equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(88)90058-4 ◽

1988 ◽

Vol 28 (6) ◽

pp. 152-158 ◽

Author(s):

A.S. Barashkov

Keyword(s):

Inverse Problem ◽

Helmholtz Equation ◽

Asymptotic Forms

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A reconstruction method based on topological derivatives for an inverse problem modeled by the Helmholtz equation

10.5540/03.2020.007.01.0343 ◽

2020 ◽

Author(s):

Lucas Dos Santos Fernandez ◽

Ravi Prakash

Keyword(s):

Inverse Problem ◽

Helmholtz Equation ◽

Reconstruction Method ◽

Topological Derivatives

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Numerical Methods for the Helmholtz Equation with Non-Reflecting Boundary Conditions in Exterior Domains

The finite element method in the 1990’s ◽

10.1007/978-3-662-10326-5_38 ◽

1991 ◽

pp. 379-388

Author(s):

I. Harari ◽

T. J. R. Hughes

Keyword(s):

Numerical Methods ◽

Boundary Conditions ◽

Helmholtz Equation ◽

Exterior Domains

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An inverse problem for Helmholtz equation

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2011.556705 ◽

2011 ◽

Vol 19 (6) ◽

pp. 839-854 ◽

Author(s):

M. Tadi ◽

A.K. Nandakumaran ◽

S.S. Sritharan

Keyword(s):

Inverse Problem ◽

Helmholtz Equation

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The inverse problem for the vocal tract: Numerical methods, acoustical experiments, and speech synthesis

The Journal of the Acoustical Society of America ◽

10.1121/1.389024 ◽

1983 ◽

Vol 73 (3) ◽

pp. 985-1002 ◽

Author(s):

Man Mohan Sondhi ◽

J. R. Resnick

Keyword(s):

Inverse Problem ◽

Numerical Methods ◽

Speech Synthesis ◽

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A numerical method for an inverse problem for Helmholtz equation with separable wavenumber

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2017.10004029 ◽

2017 ◽

Vol 8 (1) ◽

pp. 1

Author(s):

M. Tadi ◽

Yuanlong Wang

Keyword(s):

Inverse Problem ◽

Helmholtz Equation ◽

Numerical Method

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Comparing numerical methods for Helmholtz equation model problem

Applied Mathematics and Computation ◽

10.1016/s0096-3003(03)00305-9 ◽

2004 ◽

Vol 150 (3) ◽

pp. 763-773 ◽

Author(s):

Salah M. El-Sayed ◽

Doǧan Kaya

Keyword(s):

Numerical Methods ◽

Helmholtz Equation ◽

Model Problem ◽

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Diagnosis and Localization of Pipeline Leak Based on Numerical Methods of the Inverse Problem Differential Equations

10.1061/9780784412619.059 ◽

2012 ◽

Author(s):

Yuan Tian ◽

Xuefen Zhao ◽

Xiang Zhen ◽

Jian Ou

Keyword(s):

Inverse Problem ◽

Numerical Methods ◽

Differential Equations

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Solving Helmholtz equation with high wave number and ill-posed inverse problem using the multiple scales Trefftz collocation method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2015.07.015 ◽

2015 ◽

Vol 61 ◽

pp. 145-152 ◽

Author(s):

Chung-Lun Kuo ◽

Weichung Yeih ◽

Chein-Shan Liu ◽

Jiang-Ren Chang

Keyword(s):

Inverse Problem ◽

Helmholtz Equation ◽

Collocation Method ◽

Multiple Scales ◽

Wave Number ◽

High Wave Number ◽

High Wave ◽

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Numerical methods for two-dimensional parabolic inverse problem with energy overspecification

International Journal of Computer Mathematics ◽

10.1080/00207160108805077 ◽

2001 ◽

Vol 77 (3) ◽

pp. 441-455 ◽

Author(s):

Mehdi Dehghan

Keyword(s):

Inverse Problem ◽

Numerical Methods ◽

Two Dimensional

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