Isogeometric Analysis on non-matching interface subdivisions

Dr. Ioannis Toulopoulos

April 21, 2015, 1:45 p.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 o
er 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.