Quasi-Optimal Estimates for Finite Element Approximations Using Orlicz Norms

We consider the approximation by linear finite elements of the solution of the Dirichlet problem -Au = /. We obtain a relation between the error in the infinite norm and the error in some Orlicz spaces. As a consequence, we get quasi-optimal uniform estimates when u has second derivatives in the Orlicz space associated with the exponential function. This… CONTINUE READING