Session

12.09.2017     08:30–09:30

Title:
PS3 • Invited plenary 3
Discontinuous Skeletal Methods for Computational Geosciences
Type:
Plenary session
Room:

12.09.2017
08:30–09:30

Title:
PS3 • Invited plenary 3
Discontinuous Skeletal Methods for Computational Geosciences
Type:
Plenary session
Room:



Discontinuous Skeletal Methods for Computational Geosciences
Alexandre Ern (Paris/FR)
Discontinuous Skeletal methods are based on discrete unknowns that are discontinuous polynomials on the mesh skeleton. Such methods offer several attractive features: a dimension-independent construction, and the use of arbitrary polynomial orders combined with general grids, including non-matching interfaces and polyhedral cell shapes. Positioning unknowns at mesh faces is also a natural way to express fundamental continuum properties at the discrete level such as local mass or force balance. One prominent example of Discontinuous Skeletal methods is the Hybridizable Discontinuous Galerkin method. Recently, another method has emerged : the Hybrid High-Order (HHO) method. HHO methods were originally devised to approximate scalar diffusive and linear elasticity problems, and have undergone a substantial development in terms of analysis and applications. The cornerstone of HHO methods are fully local, reconstruction operators, which can offer reduced computational costs by organizing simulations into (fully parallelizable) local solves and a global transmission problem. In this talk, we aim at providing a (gentle) introduction to the devising and analysis of HHO methods and to briefly touch upon some of the more recent developments.