ENGLISH

Elliptic Differential Equations: Theory and Numerical Treatment (Springer Series in Computational Mathematics, 18)

By Wolfgang Hackbusch

Book information

Year
2003
ISBN
9783540548225, 354054822X, 3642052444, 9783642052446
DOI
10.1007/978-3-642-11490-8
LCC
QA372 .H1213 1992
Open Library ID
OL1721956M
Language
english
Format
PDF
Filesize
18 MB (18749257 bytes)
Pages
326\326
Orientation
yes
Scanned
yes
Time added
2011-06-04 13:46:07

Description

The book offers a simultaneous presentation of the theory and of the numerical treatment of elliptic problems. The author starts with a discussion of the Laplace equation in the classical formulation and its discretisation by finite differences and deals with topics of gradually increasing complexity in the following chapters. He introduces the variational formulation of boundary value problems together with the necessary background from functional analysis and describes the finite element method including the most important error estimates. A more advanced chapter leads the reader into the theory of regularity. The reader will also find more details about the discretisation of singularly perturbed equations and eigenvalue problems. The author discusses the Stokes problem as an example of a saddle point problem taking into account its relevance to applications in fluid dynamics.

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