
Polygonal Interface Problems
Serge Nicaise(Author)
Peter Lang Verlag
Published on 1. August 1993
Book
Paperback/Softback
250 pages
978-3-631-46380-2 (ISBN)
Description
The aim of this volume is to extend some of the classical results of Kondratiev, Maz'ya-Plamenevskii, Grisvard and Dauge, about the singular behaviour of the weak solution of a boundary value problem in a nonsmooth domain to the setting of boundary value problems on a two-dimensional polygonal topological network (roughly speaking it is a network such that each face is a polygon). Some mechanical phenomena were recently described by boundary value problems on such networks: let us quote vibrating folded membranes, composite plates, folded plates, junctions in elastic multi-structures. In view to numerical applications, the singularities, as well as their coefficients (the so-called stress intensity factors) are described explicitly. The obtained decomposition into regular and singular parts also leads to the Fredholm property of the associated operator between appropriate Sobolev spaces.
More details
Series
Language
English
Place of publication
Frankfurt a.M.
Germany
Target group
Professional and scholarly
Edition type
New edition
Illustrations
38 fig.
Dimensions
Height: 21 cm
Width: 14.8 cm
Weight
340 gr
ISBN-13
978-3-631-46380-2 (9783631463802)
Schweitzer Classification
Content
Contents: Sobolev spaces - Networks - Boundary value problems - Interface (transmission) problems - Fredholm operators - Singularities - Coefficients of the singularities - Differential equatious in Hilbert spaces.