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Uniform asymptotics of Green's kernels in perforated domains and meso-scale approximations

✍ Scribed by Maz'ya, V.; Movchan, A.

Book ID
120074605
Publisher
Taylor and Francis Group
Year
2012
Tongue
English
Weight
814 KB
Volume
57
Category
Article
ISSN
1747-6933

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[Lecture Notes in Mathematics] Green's Kernels and Meso-Scale Approximations in Perforated Domains Volume 2077 || Uniform Asymptotic Formulae for Green’s Functions for the Laplacian in Domains with Small Perforations
✍ Maz'ya, Vladimir; Movchan, Alexander; Nieves, Michael πŸ“‚ Article πŸ“… 2013 πŸ› Springer International Publishing 🌐 German βš– 203 KB

There are a wide range of applications in physics and structural mechanics involving domains with singular perturbations of the boundary. Examples include perforated domains and bodies with defects of different types. The accurate direct numerical treatment of such problems remains a challenge. Asym

Uniform asymptotic approximations of Gre
Uniform asymptotic approximations of Green's functions in a long rod
✍ V. Maz'ya; A. Movchan πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 160 KB

## Abstract Asymptotic approximations for Green's function for the operator βˆ’Ξ” in a long rod are derived. These approximations are uniformly valid over the whole domain including the end regions of the rod. Connections are established between the asymptotic approximations in a long rod and the asym