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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
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9783540783190
Veröffentl:
2008
Seiten:
244
Autor:
Daniele Boffi
Serie:
1939, Lecture Notes in Mathematics C.I.M.E. Foundation Subseries
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:

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.
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.

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