Green's kernels and meso-scale approximations in perforated domains /
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Author / Creator: | Mazʹi︠a︡, V. G. |
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Imprint: | Heidelberg ; New York : Springer, ©2013. |
Description: | 1 online resource (xvii, 258 pages) : illustrations. |
Language: | English |
Series: | Lecture notes in mathematics, 0075-8434 ; 2077 Lecture notes in mathematics (Springer-Verlag) ; 2077. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11078851 |
Table of Contents:
- Green's Functions in Singularly Perturbed Domains. Uniform Asymptotic Formulae for Green's Functions for the Laplacian in Domains with Small Perforations
- Mixed and Neumann Boundary Conditions for Domains with Small Holes and Inclusions: Uniform Asymptotics of Green's Kernels
- Green's Function for the Dirichlet Boundary Value Problem in a Domain with Several Inclusions
- Numerical Simulations Based on the Asymptotic Approximations
- Other Examples of Asymptotic Approximations of Green's Functions in Singularly Perturbed Domains
- Green's Tensors for Vector Elasticity in Bodies with Small Defects. Green's Tensor for the Dirichlet Boundary Value Problem in a Domain with a Single Inclusion
- Green's Tensor in Bodies with Multiple Rigid Inclusions
- Green's Tensor for the Mixed Boundary Value Problem in a Domain with a Small Hole
- Meso-scale Approximations: Asymptotic Treatment of Perforated Domains Without Homogenization. Meso-scale Approximations for Solutions of Dirichlet Problems
- Mixed Boundary Value Problems in Multiply-Perforated Domains.