Coverart for item
The Resource Green's kernels and meso-scale approximations in perforated domains, Vladimir Maz'ya, Alexander Movchan, Michael Nieves

Green's kernels and meso-scale approximations in perforated domains, Vladimir Maz'ya, Alexander Movchan, Michael Nieves

Label
Green's kernels and meso-scale approximations in perforated domains
Title
Green's kernels and meso-scale approximations in perforated domains
Statement of responsibility
Vladimir Maz'ya, Alexander Movchan, Michael Nieves
Creator
Contributor
Subject
Language
eng
Summary
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. Asymptotic approximations offer an alternative, efficient solution. Green's function is considered here as the main object of study rather than a tool for generating solutions of specific boundary value problems. The uniformity of the asymptotic approximations is the principal point of attention. We also show substantial links between Green's functions and solutions of boundary value problems for meso-scale structures. Such systems involve a large number of small inclusions, so that a small parameter, the relative size of an inclusion, may compete with a large parameter, represented as an overall number of inclusions. The main focus of the present text is on two topics: (a) asymptotics of Green's kernels in domains with singularly perturbed boundaries and (b) meso-scale asymptotic approximations of physical fields in non-periodic domains with many inclusions. The novel feature of these asymptotic approximations is their uniformity with respect to the independent variables. This book addresses the needs of mathematicians, physicists and engineers, as well as research students interested in asymptotic analysis and numerical computations for solutions to partial differential equations
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Mazʹi︠a︡, V. G
Dewey number
515/.22
Illustrations
illustrations
Index
index present
LC call number
QA331
LC item number
.M39 2013
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Movchan, A. B.
  • Nieves, Michael
Series statement
Lecture notes in mathematics,
Series volume
2077
http://library.link/vocab/subjectName
  • Green's functions
  • Differential equations, Elliptic
  • Boundary value problems
  • Inhomogeneous materials
  • Boundary value problems
  • Approximation theory
  • Approximation theory
  • Boundary value problems
  • Boundary value problems
  • Differential equations, Elliptic
  • Green's functions
  • Inhomogeneous materials
Label
Green's kernels and meso-scale approximations in perforated domains, Vladimir Maz'ya, Alexander Movchan, Michael Nieves
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 251-253) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • 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
Control code
849509026
Dimensions
unknown
Extent
1 online resource (xvii, 258 pages)
File format
unknown
Form of item
online
Isbn
9783319003566
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-00357-3
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)849509026
Label
Green's kernels and meso-scale approximations in perforated domains, Vladimir Maz'ya, Alexander Movchan, Michael Nieves
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 251-253) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • 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
Control code
849509026
Dimensions
unknown
Extent
1 online resource (xvii, 258 pages)
File format
unknown
Form of item
online
Isbn
9783319003566
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-00357-3
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)849509026

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      38.944491 -92.326012
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