Discontinuous Galerkin Isogeometric Analysis for Elliptic PDEs on Manifolds

DI Stephen Edward Moore

May 7, 2013, 3:30 p.m. S2 059

Isogeometric analysis (IGA) uses the same class of basis functions for both,
representing the geometry of the computational domain and approximating the
solution. In practical applications, geometrical patches are used in order
to get flexibility in the geometrical representation. This patch representation
corresponds to a domain decomposition (DD).

In this talk, we will present a Discontinuous Galerkin (DG) Method that allows
for discontinuities only along the subdomain (patch) boundaries. The required
smoothness is obtained by the DG terms associated with the boundary of the subdomains.
The construction and corresponding discretization error analysis of such DG
scheme will be presented for Elliptic PDEs on Manifolds specifically 2D and on
surfaces.