A comparison of the finite‐difference and finite‐volume methods for a numerical solution of a hyperbolic thermoelasticity problem utilizing the implicit and explicit schemes

DOI10.1002/zamm.201700369OpenAlexW2919102847MaRDI QIDQ6117588

Evgeniy Yu. Vitokhin, Unnamed Author

Publication date: 19 February 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201700369

zbMATH Keywords

finite-difference methodexplicit leap-frog schemetridiagonal matrix algorithmtrust region algorithmfinite-volume methodMaxwell-Cattaneo equationrelaxation constantEuler implicit schemeLord-Shulman hyperbolic thermoelasticity

Mathematics Subject Classification ID

Thermodynamics and heat transfer (80Axx) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx) Coupling of solid mechanics with other effects (74Fxx)

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