Elliptic Differential Equations (eBook)

Theory and Numerical Treatment

Wolfgang Hackbusch (Autor)

eBook Download: PDF

2010 | 1., st. ed. 1992. 2nd printing
XIV, 311 Seiten
Springer Berlin (Verlag)
978-3-642-11490-8 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 22.3.2010
• Übersetzer: R. Fadiman, P.D.F. Ion
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Technik
• Schlagworte: difference methods • Differenzenmethode • elliptic boundary value problems • elliptische Randwertprobleme • Finite Elemente • finite elements m • Methode der finiten Elemente • Randwertprobleme • Stokes equation • Stokes-Gleichung • Variationsformulierung
• ISBN-10: 3-642-11490-3 / 3642114903
• ISBN-13: 978-3-642-11490-8 / 9783642114908