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Elliptic differential equations : theory and numerical treatment.

Author: Wolfgang Hackenbusch
Publisher: Heidelberg ; New York : Springer, ©2010.
Series: Springer series in computational mathematics, 18.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Wolfgang Hackenbusch
ISBN: 9783642114908 3642114903
OCLC Number: 643474318
Description: 1 online resource.
Contents: 24830_1_En_FM1_OnlinePDF.pdf; 24830_1_En_1_Chapter_OnlinePDF.pdf; 24830_1_En_2_Chapter_OnlinePDF.pdf; 24830_1_En_3_Chapter_OnlinePDF.pdf; 24830_1_En_4_Chapter_OnlinePDF.pdf; 24830_1_En_5_Chapter_OnlinePDF.pdf; 24830_1_En_6_Chapter_OnlinePDF.pdf; 24830_1_En_7_Chapter_OnlinePDF.pdf; 24830_1_En_8_Chapter_OnlinePDF.pdf; 24830_1_En_9_Chapter_OnlinePDF.pdf; 24830_1_En_10_Chapter_OnlinePDF.pdf; 24830_1_En_11_Chapter_OnlinePDF.pdf; 24830_1_En_12_Chapter_OnlinePDF.pdf; 24830_1_En_BM1_OnlinePDF.pdf.
Series Title: Springer series in computational mathematics, 18.

Abstract:

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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