Estimates for the accuracy of modelling boundary-value problems at the junction of domains with different limit dimensions

DOI10.1070/IM2004v068n06ABEH000515zbMath1167.35343OpenAlexW2011711803MaRDI QIDQ5465605

Sergueï A. Nazarov

Publication date: 11 August 2005

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2004v068n06abeh000515

zbMATH Keywords

singularly perturbed problemPoisson equationasymptotic exactnessmixed boundary-value problemjunction of thin rods and a massive body

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (4)

Bounded solutions in a T-shaped waveguide and the spectral properties of the Dirichlet ladder ⋮ The Mandelstam energy radiation conditions and the Umov-Poynting vector in elastic waveguides ⋮ Asymptotics of eigen-oscillations of a massive elastic body with a thin baffle ⋮ Scalar problems in junctions of rods and a plate

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