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Numerical Laplace inversion in problems of elastodynamics: Comparison of four algorithms

SYSNO ASEP	0480700
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Numerical Laplace inversion in problems of elastodynamics: Comparison of four algorithms
Author(s)	Adámek, V. (CZ) Valeš, František (UT-L)_RID Červ, Jan (UT-L)_{RID, ORCID, SAI}
Number of authors	3
Source Title	Advances in Engineering Software. - : Elsevier - ISSN 0965-9978 Roč. 113, November (2017), s. 120-129
Number of pages	10 s.
Publication form	Print - P
Language	eng - English
Country	GB - United Kingdom
Keywords	inverse Laplace transform ; numerical algorithm ; wave propagation ; multi-precision computation ; Maple code
Subject RIV	BI - Acoustics
OECD category	Acoustics
R&D Projects	GAP101/12/2315 GA ČR - Czech Science Foundation (CSF)
Institutional support	UT-L - RVO:61388998
UT WOS	000413675600013
EID SCOPUS	85006035968
DOI	10.1016/j.advengsoft.2016.10.006
Annotation	The objective of this work is to find a suitable algorithm for numerical Laplace inversion which could be used for effective and precise solution of elastodynamic problems. For this purpose, the capabilities of four algorithms are studied using three transforms resulted from analytical solutions of longitudinal waves in a thin rod, flexural waves in a thin beam and plane waves in a strip. In particular, the Gaver–Stehfest algorithm, the Gaver–Wynn’s rho algorithm, the Fixed-Talbot algorithm and the FFT algorithm combined with Wynn’s epsilon accelerator are tested. The codes written in Maple 16 employing multi- precision computations are presented for each method. Given the results obtained, the last mentioned algorithm proves to be the best. It is most efficient and it gives results of reasonable accuracy nearly for all tested times ranging from 3 ×10 −7 s to 3 ×10 3 s .
Workplace	Institute of Thermomechanics
Contact	Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823
Year of Publishing	2018

Number of the records: 1