Isogeometric Analysis on non-matching interface subdivisions

Dr. Ioannis Toulopoulos

April 21, 2015, 11:45 a.m. S2 059

Interest in Isogeoemetric Analysis (IgA) methods for solving PDE problems in complicated geometries has grown rapidly over recent years. In many realistic situations for convenience reasons the computational domain is subdivided into subdomains, in other words, we describe the domain with multiple patches. Despite the advantages that B-spline/NURBS offer on the parametrization of the subdomains, we may have to deal the situation where the parametrized interfaces of adjusting subdomains are not identical (nonmatching parametrizations of the interfaces) and gap regions between the subdomains can exist.

In this talk we will present approximations of the solution of an elliptic problem by a discontinuous Galerkin IgA method which is built on nonmatching interface subdivisions.