An algorithm for computing wavefront amplitudes and inverse problems (tsunami, electrodynamics, acoustics, and viscoelasticity)

An algorithm for computing the amplitude of the leading wavefront generated by an impulse source of oscillations is proposed. According to the algorithm, the fundamental solution is represented in the form of the sum of singular and regular components. As a result, the time required for the amplitud...

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Bibliographic Details
Published inDoklady. Mathematics Vol. 93; no. 1; pp. 103 - 107
Main Authors Kabanikhin, S. I., Krivorotko, O. I.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.01.2016
Subjects
Mathematical Physics
Mathematics
Mathematics and Statistics
Cauchy Problem
Fundamental Solution
Ampli Tude
Eikonal Equation
DOKLADY Mathematic
Online AccessGet full text
ISSN1064-5624
1531-8362
DOI10.1134/S1064562416010312

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Summary:An algorithm for computing the amplitude of the leading wavefront generated by an impulse source of oscillations is proposed. According to the algorithm, the fundamental solution is represented in the form of the sum of singular and regular components. As a result, the time required for the amplitude computation is reduced by one order of magnitude. Examples of wavefront amplitudes of tsunami, electromagnetic, acoustic, and viscoelastic waves are given.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562416010312