4 papers
Serendipity discrete complexes with enhanced regularity
Daniele Di Pietro, Marien Hanot, Marwa Salah
In this work we address the problem of finding serendipity versions of approximate de Rham complexes with enhanced regularity. The starting point is a new abstract construction of…
A Péclet-robust discontinuous Galerkin method for nonlinear diffusion with advection
Lourenço Beirão da Veiga, Daniele A. Di Pietro, Kirubell B. Haile
We analyze a Discontinuous Galerkin method for a problem with linear advection-reaction and -type diffusion, with Sobolev indices . The discretization of the d…
A serendipity fully discrete div-div complex on polygonal meshes
Michele Botti, Daniele A. Di Pietro, Marwa Salah
In this work we address the reduction of face degrees of freedom (DOFs) for discrete elasticity complexes. Specifically, using serendipity techniques, we develop a reduced version…
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem
Daniele A. Di Pietro, Jérôme Droniou
In this work we develop a novel fully discrete version of the plates complex, an exact Hilbert complex relevant for the mixed formulation of fourth-order problems. The derivation o…