05110nam 22008655 450 99646653710331620200706140846.03-540-78319-910.1007/978-3-540-78319-0(CKB)1000000000437234(SSID)ssj0000318953(PQKBManifestationID)11243804(PQKBTitleCode)TC0000318953(PQKBWorkID)10337226(PQKB)10348178(DE-He213)978-3-540-78319-0(MiAaPQ)EBC3062987(MiAaPQ)EBC6281377(PPN)123745926(EXLCZ)99100000000043723420100301d2008 u| 0engurnn#008mamaatxtccrMixed 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 Gastaldi1st ed. 2008.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2008.1 online resource (X, 244 p. 36 illus.)C.I.M.E. Foundation Subseries ;1939Bibliographic Level Mode of Issuance: Monograph3-540-78314-8 Includes bibliographical references.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.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.C.I.M.E. Foundation Subseries ;1939Numerical analysisPartial differential equationsPhysicsContinuum physicsGlobal analysis (Mathematics)Manifolds (Mathematics)Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Classical and Continuum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P2100XGlobal Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Numerical 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.620.00151535Boffi Danieleauthttp://id.loc.gov/vocabulary/relators/aut323538Brezzi Francoauthttp://id.loc.gov/vocabulary/relators/autDemkowicz Leszek Fauthttp://id.loc.gov/vocabulary/relators/autDurán Ricardo Gauthttp://id.loc.gov/vocabulary/relators/autFalk Richard Sauthttp://id.loc.gov/vocabulary/relators/autFortin Michelauthttp://id.loc.gov/vocabulary/relators/autBoffi Danieleedthttp://id.loc.gov/vocabulary/relators/edtGastaldi Luciaedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK996466537103316Mixed finite elements, compatibility conditions, and applications230638UNISA