Mesh Quality Meets The Virtual Element Method

This course offers a dive into the concept of mesh quality in the context of and in relation to numerical methods for simulation problems, techniques that are at the heart of a variety of computer graphics tasks. It is targeted to graduate students, researchers, and practitioners interested in mesh processing and generation oriented to numerical simulations with the Virtual Element Method (VEM), who want to learn how to assess and optimize the quality of any kind of polytopal mesh and are willing to explore the potentialities of the VEM in Computer Graphics. It is assumed that the reader has basic mathematical and geometrical notions and is familiar with mesh processing and geometry processing, i.e. knows what a mesh is and how to manipulate it. Some knowledge about numerical analysis is also required, in particular on the Finite Element Method.