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OverviewThe 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. Full Product DetailsAuthor: Wolfgang Hackbusch , R Fadiman , P D F IonPublisher: Springer Imprint: Springer Volume: 18 Dimensions: Width: 23.40cm , Height: 1.80cm , Length: 15.60cm Weight: 0.458kg ISBN: 9783642114830ISBN 10: 3642114830 Pages: 328 Publication Date: 20 November 2010 Audience: General/trade , General Format: Undefined Publisher's Status: Unknown Availability: Out of stock ![]() Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |