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Mixed Finite Elements, Compatibility Conditions, and Applications [[electronic resource] ] : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 26 - July 1, 2006 / / by Daniele Boffi, Franco Brezzi, Leszek F. Demkowicz, Ricardo G. Durán, Richard S. Falk, Michel Fortin ; edited by Daniele Boffi, Lucia Gastaldi



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Autore: Boffi Daniele Visualizza persona
Titolo: Mixed Finite Elements, Compatibility Conditions, and Applications [[electronic resource] ] : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 26 - July 1, 2006 / / by Daniele Boffi, Franco Brezzi, Leszek F. Demkowicz, Ricardo G. Durán, Richard S. Falk, Michel Fortin ; edited by Daniele Boffi, Lucia Gastaldi Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008
Edizione: 1st ed. 2008.
Descrizione fisica: 1 online resource (X, 244 p. 36 illus.)
Disciplina: 620.00151535
Soggetto topico: Numerical analysis
Partial differential equations
Physics
Continuum physics
Global analysis (Mathematics)
Manifolds (Mathematics)
Numerical Analysis
Partial Differential Equations
Numerical and Computational Physics, Simulation
Classical and Continuum Physics
Global Analysis and Analysis on Manifolds
Persona (resp. second.): BrezziFranco
DemkowiczLeszek F
DuránRicardo G
FalkRichard S
FortinMichel
BoffiDaniele
GastaldiLucia
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: Mixed Finite Element Methods -- Finite Elements for the Stokes Problem -- Polynomial Exact Sequences and Projection-Based Interpolation with Application to Maxwell Equations -- Finite Element Methods for Linear Elasticity -- Finite Elements for the Reissner–Mindlin Plate.
Sommario/riassunto: Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities. The fundamental role of this method for many application fields has been worldwide recognized and its use has been introduced in several commercial codes. An important feature of mixed finite elements is the interplay between theory and application. Discretization spaces for mixed schemes require suitable compatibilities, so that simple minded approximations generally do not work and the design of appropriate stabilizations gives rise to challenging mathematical problems. This volume collects the lecture notes of a C.I.M.E. course held in Summer 2006, when some of the most world recognized experts in the field reviewed the rigorous setting of mixed finite elements and revisited it after more than 30 years of practice. Applications, in this volume, range from traditional ones, like fluid-dynamics or elasticity, to more recent and active fields, like electromagnetism.
Titolo autorizzato: Mixed finite elements, compatibility conditions, and applications  Visualizza cluster
ISBN: 3-540-78319-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466537103316
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Serie: C.I.M.E. Foundation Subseries ; ; 1939