Fast solution techniques for high-order Discontinuous Galerkin method on polygonal/polyhedral grids (Paola Francesca Antonietti, Politecnico di Milano)

18.02.2020 14:00 – 15:00

In this talk, I will present a survey of fast solution algorithms for high-order discontinuous Galerkin finite element methods which employ general polygonal/polyhedral elements. In particular, I will present and analyse a family of multigrid schemes on nested and non-nested agglomerated meshes as well as Schwarz-type domain decomposition preconditioners. The performance of the proposed solvers will be tested on both two- and three-dimensional test cases. The design of efficient quadrature rules for the numerical approximation of integrals of polynomial functions over general polytopic elements that do not require the explicit construction of a sub-tessellation into triangular/tetrahedral elements will also be discussed.

Lieu

Room 623, Séminaire d'analyse numérique

entrée libre