Name of the course	An introduction to the theory of finite elements
Professor information	1) V. Dolean Name :        2) P.E. Jabin                     3) A. Sangam                     1) Assistant professor Position :     2) Professor                     3) Assistant professor Department : Laboratoire J-A Dieudonné                     1) dolean@unice.fr E-mail :      2) jabin@unice.fr                     3) sangam@unice.fr
ECTS	6
University	University of Nice, Sophia-Antipolis, France
Short program	Short description of the main applications; Weak formulation of elliptic and parabolic problems; Ritz-Galerkin approximation; Construction of finite elements spaces : basic notions, triangular elements, interpolant, equivalence... Sobolev spaces, Lax-Milgram theorem; Error estimates : interpolation errors, inverse estimates...
Prerequisites	Linear algebra; Hilbert spaces; Basic notions of Sobolev spaces, distributions; Elementary measure and integration theory
Books	Brenner, S.C., Scott, L.R. ; The mathematical theory of finite element methods, Texts in applied mathematics, Springer-Verlag 1994
Teaching material	Based on the book, see a more complete description