Multigrid Methods for Finite Elements

V. V. Shaidurov

ISBN 10: 0792332903 / ISBN 13: 9780792332909

Verlag: Springer Netherlands, Springer Netherlands Jan 1995, 1995

Beschreibung

Neuware -Multigrid Methods for Finite Elements combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical level, Shaidurov justifies the rate of convergence of various multigrid algorithms for self-adjoint and non-self-adjoint problems, positive definite and indefinite problems, and singular and spectral problems. At the practical level these statements are carried over to detailed, concrete problems, including economical constructions of triangulations and effective work with curvilinear boundaries, quasilinear equations and systems. Great attention is given to mixed formulations of finite element methods, which allow the simplification of the approximation of the biharmonic equation, the steady-state Stokes, and Navier--Stokes problems.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 356 pp. Englisch.

Bestandsnummer des Verkäufers 9780792332909

Bibliografische Details

• Titel: Multigrid Methods for Finite Elements
• Verlag: Springer Netherlands, Springer Netherlands Jan 1995
• Erscheinungsjahr: 1995
• Sprache: Englisch
• ISBN-10: 0792332903
• ISBN-13: 9780792332909
• Einband: Buch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

Multigrid Methods for Finite Elements combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical level, Shaidurov justifies the rate of convergence of various multigrid algorithms for self-adjoint and non-self-adjoint problems, positive definite and indefinite problems, and singular and spectral problems. At the practical level these statements are carried over to detailed, concrete problems, including economical constructions of triangulations and effective work with curvilinear boundaries, quasilinear equations and systems. Great attention is given to mixed formulations of finite element methods, which allow the simplification of the approximation of the biharmonic equation, the steady-state Stokes, and Navier--Stokes problems.