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

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.