Discontinuous Galerkin Isogeometric Analysis of Diffusion Problems on Surfaces

DI Stephen Edward Moore

Jan. 21, 2014, 1:45 p.m. S2 059


The Isogeometric Analysis (IGA) is very suitable framework to represent
and to discretize Partial Differential Equations (PDEs) on surfaces.
In this talk we use the Discontinuous Galerkin (DG) method to handle
the IGA of second-order elliptic PDEs diffusion problems
on open and closed surfaces with multi-patch NURBS surfaces.

We present both the analysis for the error estimates in the DG- and $L_{2}-$norms and
also present some numerical results confirming our theoretical estimates.