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Elliptic Differential Equations: Theory and Numerical Treatment (Springer Series in Computational Mechanics) - Hardcover

Buch 28 von 33: Springer Computational Mathematics
 
9780387548227: Elliptic Differential Equations: Theory and Numerical Treatment (Springer Series in Computational Mechanics)
Hardcover
ISBN 10: 038754822X ISBN 13: 9780387548227

Inhaltsangabe

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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Sprache
Englisch
ISBN 10 
038754822X
ISBN 13 
9780387548227
Einband
Gebundene Ausgabe
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