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Elliptic Differential Equations

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Elliptic Differential Equations

Theory and Numerical Treatment
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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.
Release date Australia
October 8th, 1992
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Contributors
  • Translated by P D F Ion
  • Translated by R Fadiman
Edition
1st ed. 1992. 2nd printing 1992
Illustrations
XIV, 311 p.
Pages
311
Dimensions
156x234x19
ISBN-13
9783540548225
Product ID
2108323

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