Objectives

The study of numerical methods for the approximation of Partial Differential Equations (PDEs) on polygonal and polyhedral meshes is drawing the attention of an increasing number of researchers.

Indeed, polytopal grids offer a very convenient framework to handle, for instance, hanging nodes, different cell shapes within the same mesh and non-matching interfaces. Such a flexibility represents a powerful tool towards the efficient solution of problems with complex inclusions (as in geophysical applications) or posed on very complicated or possibly deformable geometries (as encountered in basin and reservoir simulations, in fluid-structure interaction, crack propagation or contact problems).

In recent years, several discretization methods for polygonal and polyhedral meshes have been developed and there are strong connections among them. The aim of this Workshop is to bring together experts in this field in order to discuss the most recent developments and to establish common grounds and shared goals.

Plenary Speakers

Franco Brezzi, Bernardo Cockburn, Daniele Di Pietro, Alexandre Ern, Paul Houston, Konstantin Lipnikov, Glaucio H. Paulino, Sukumar.

Topics

Main topics of the Workshop include (but are not limited to) the following:
  • Virtual Element Methods
  • Polygonal/Polyhedral Discontinuous Galerkin methods
  • Mimetic Finite Difference methods
  • Hybrid High Order methods
  • Hybridizable Discontinuous Galerkin methods
  • Polygonal/Polyhedral Finite Element methods
  • Finite Volumes