**
Parallelization of Isogeometric Analysis**

on Memory Distributed Computing Platforms

**
Daniel Rypl, Bořek Patzák
**

Department of Mechanics

Faculty of Civil Engineering

Czech Technical University in Prague

Thákurova 7, 166 29 Prague, Czech Republic

### Abstract:

Isogeometric analysis has been recently introduced
as a viable alternative to the standard, polynomial-based
finite element analysis. Similarly to the finite element method,
isogeometric solution of complex engineering problems may
lead to computationally very demanding analysis, demands of which can be
alleviated by performing it in a parallel computing environment.
This paper presents how the isogeometric analysis based on NURBS
can be parallelized on memory distributed computing platforms.
While the actual parallelization of the isogeometric computational
code resembles methodologically very much the parallelization of
the finite element code, the construction of the appropriate domain
decomposition of the isogeometric mesh is rather complicated compared
to the partitioning of the finite element mesh. The paper introduces
a new methodology, how to construct a weighted dual graph of
a two-dimensional NURBS-based isogeometric mesh that can be
decomposed by standard graph-based partitioning approaches. The
application of the proposed strategy is illustrated on a simple
two-dimensional example.