Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method

This monograph requires basic knowledge of the variational theory of elliptic PDEand the techniques used for the analysis of the Finite Element Method. However, all the tools for theanalysis of FEM (scaling arguments, finite dimensional estimates in the reference configuration, Piolatransforms) are carefully introduced before being used, so that the reader does not need to go overlongforgotten textbooks. Readers include: computational mathematicians, numerical analysts, engineersand scientists interested in new and computationally competitive Discontinuous Galerkin methods. Theintended audience includes graduate students in computational mathematics, physics, and engineering,since the prerequisites are quite basic for a second year graduate student who has already taken a nonnecessarily advanced class in the Finite Element method.