Séance Séminaire

Séminaire ACSIOM

Optimal discontinuous Petrov-Galerkin method for (non) linear problems

In the context of the approximation of PDEs using finite elements, this talk presents a general strategy to obtain automatically a discrete well-posed problem using optimal test functions, from a well-posed continuous problem. The resulting scheme belongs to the class of Petrov-Galerkin methods, and is equivalent to a minimal residual formulation in dual norms. Applications with numerical results are shown for the singularly perturbed reaction-diffusion problem and for the nonlinear monotone advection-diffusion problem.