The project network event in Cardiff took place September 15th-17th 2015. Some remarks from Malcolm Sabin addressed to the junior researchers can be downloaded from here.
The project is featured on the CORDIS "Results in Brief" website
We develop a declarative language to specify the features of CAD models for use in discretization and model simplification. We also look at specific feature declarations aimed at simplifying models for specific PDEs.
Pre-Processing and Meshing
We explore techniques for the creation of NURBS volume parametrizations and generalizations thereof, providing local adaptivity. We develop a meshing software for surface models which can be coupled to existing finite element mesh generators, as well as pre-processing software for data obtained by point clouds. Moreover, we develop a level-set representation of CT-scan based objects.
Numerical Analysis / CAE
We develop a 3D generalized Isogeometric Analysis formulation based on CAD-shape functions. Also we study hybrid methods that exploit the advantages of Isogeometric Analysis and standard finite elements. Moreover, we explore meshless methods based on structured and unstructured discretizations and 3D XFEM formulations based on level-set functions that describe the boundary of the domain. Finally, we develop adaptive refinement algorithms and model reduction techniques.
We develop methods that exploit the voxel-based geometry data in the context of numerical analysis. Voxel based discretization methods can be efficiently combined with matrix free storage and iterative solver techniques. Applying these techniques, simulation models with several millions of degrees of freedom can be studied on standard hardware. Unsolved problems which will be addressed are parallelization methods with optimal load balancing and hybrid solver techniques using CPUs and GPUs.