Homogenization of the time-dependent heat equation on planar one-dimensional periodic structures
DOI10.1080/00036811.2022.2078713zbMath1496.80012arXiv1912.12989OpenAlexW2998451106MaRDI QIDQ5097280
Adrien Semin, Josip Tambača, Kersten Schmidt, Matko Ljulj
Publication date: 23 August 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.12989
Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) Homogenization for problems in thermodynamics and heat transfer (80M40) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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