Modification of numerical inversion of Laplace transform in solving problems of poroviscoelasticity via BEM

DOI10.1134/S1995080219030090zbMath1457.74187OpenAlexW2945623043WikidataQ127938194 ScholiaQ127938194MaRDI QIDQ2002755

A. K. Lyubimov, S. Yu. Litvinchuk, L. A. Igumnov, A. A. Ipatov

Publication date: 12 July 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219030090

zbMATH Keywords

Laplace transformboundary integral equationKelvin-Voigt modelBiot poroelasticity equationsDurbin algorithm

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Boundary element methods applied to problems in solid mechanics (74S15)

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Application of graphics processing units for self-consistent modelling of shallow water dynamics and sediment transport

Cites Work

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• An efficient approach for the numerical inversion of Laplace transform and its application in dynamic fracture analysis of a piezoelectric laminate
• Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
• Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method

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