Lecture Notes: The Finite Element Method
Lecture notes : The Finite Element MethodAur lien Larcher, Niyazi Cem De girmenciFall 2013Contents1 Weak formulation of Partial Differential Historical perspective . . . . . . . . . . . . . . . . . . . . . . . . . . Weak solution to the Dirichlet problem . . . . . . . . . . . . . . . . . Formal passage from classical solution to weak solution . . . Formal passage from weak solution to classical solution . . . About the boundary conditions . . . . . . . . . . . . . . . . . Weak and variational formulations . . . . . . . . . . . . . . . . . . . Functional setting . . . . . . . . . . . . . . . . . . . . . . . . Determination of the solution space . . . . . . . . . . . . . . Abstract problem.
Introduction This document is a collection of short lecture notes written for the course “The FiniteElementMethod” (SF2561),atKTH,RoyalInstituteofTechnologyduring
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