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Mixed Finite Elements, Compatibility Conditions, and Applications : 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
(C.I.M.E. Foundation Subseries. ISSN:29461820 ; 1939)
Edition | 1st ed. 2008. |
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Publisher | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
Year | 2008 |
Language | English |
Size | X, 244 p. 36 illus : online resource |
Authors | *Boffi, Daniele author Brezzi, Franco author Demkowicz, Leszek F author Durán, Ricardo G author Falk, Richard S author Fortin, Michel author Boffi, Daniele editor Gastaldi, Lucia editor SpringerLink (Online service) |
Subjects | LCSH:Numerical analysis LCSH:Differential equations LCSH:Mathematical physics LCSH:Physics LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) FREE:Numerical Analysis FREE:Differential Equations FREE:Theoretical, Mathematical and Computational Physics FREE:Classical and Continuum Physics FREE:Global Analysis and Analysis on Manifolds |
Notes | 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 HTTP:URL=https://doi.org/10.1007/978-3-540-78319-0 |
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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Springer eBooks | 9783540783190 |
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電子リソース |
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EB00236028 |
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Material Type | E-Book |
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Classification | LCC:QA297-299.4 DC23:518 |
ID | 4000120518 |
ISBN | 9783540783190 |
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