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
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
YDXCP
http://library.link/vocab/creatorName
Mazʹi︠a︡, V. G
Illustrations
illustrations
Index
index present
LC call number
QA3
LC item number
.L28 no.2077
Literary form
non fiction
Nature of contents
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
  • Boundary value problems
  • Approximation theory
Label
Green's kernels and meso-scale approximations in perforated domains, Vladimir Maz'ya, Alexander Movchan, Michael Nieves
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 251-253) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 tensor of 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 for solutions of Dirichlet problems -- Mixed boundary value problems in multiply-perforated domains
Control code
830366838
Dimensions
23 cm
Extent
xvii, 258 pages
Isbn
9783319003566
Lccn
2013939619
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations (some color)
System control number
(OCoLC)830366838
Label
Green's kernels and meso-scale approximations in perforated domains, Vladimir Maz'ya, Alexander Movchan, Michael Nieves
Publication
Bibliography note
Includes bibliographical references (pages 251-253) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 tensor of 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 for solutions of Dirichlet problems -- Mixed boundary value problems in multiply-perforated domains
Control code
830366838
Dimensions
23 cm
Extent
xvii, 258 pages
Isbn
9783319003566
Lccn
2013939619
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations (some color)
System control number
(OCoLC)830366838

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
Processing Feedback ...