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
Publication year: 2008
ISBN: 978-3-540-78319-0
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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.
Subject: Mathematics and Statistics, Maxwell's equations, approximation of partial differential equations, computational elasticity, computational electromagnetism, computational fluid-dynamics, finite element method, mixed finite elements, partial differential equations
