Partial dimension reduction for the heat equation in a domain containing thin tubes

DOI10.1002/MMA.5311zbMath1406.35143OpenAlexW2896383609WikidataQ129005349 ScholiaQ129005349MaRDI QIDQ4614547

Gregory P. Panasenko, Andrey A. Amosov

Publication date: 31 January 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5311

zbMATH Keywords

heat equationdimension reductionestimates of the errorasymptotic partial decomposition of domaindomain containing thin tubes

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

Parallel 3D ADI Scheme for Partially Dimension Reduced Heat Conduction Problem ⋮ Finite volume ADI scheme for hybrid dimension heat conduction problems set in a cross-shaped domain ⋮ Partial decomposition of a domain containing thin tubes for solving the diffusion equation ⋮ ADI scheme for partially dimension reduced heat conduction models

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