Presentation Details
Smooth spline spaces on unstructured quadrilateral meshes for isogeometric analysis (Keynote)
Wednesday, 11 Oct 2017; 10:30 - 10:50 in room 7.01
In Session:
MS15-1: Non-standard Formulations and Discretization Methods for Thin-walled Structures (Show complete Mini Symposium)
Wednesday, 11 Oct 2017; 10:30 - 12:30 in room 7.01
Show complete Session
1st and presenting Author
Hendrik Speleers
Department of Mathematics
University of Rome "Tor Vergata"
Rome, Italy
Department of Mathematics
University of Rome "Tor Vergata"
Rome, Italy
2nd Author
Deepesh Toshniwal
Institute for Computational Engineering and Sciences
University of Texas at Austin
Austin, United States
Institute for Computational Engineering and Sciences
University of Texas at Austin
Austin, United States
3rd Author
Thomas J. R. Hughes
Institute for Computational Engineering and Sciences
University of Texas at Austin
Austin, United States
Institute for Computational Engineering and Sciences
University of Texas at Austin
Austin, United States
Micro Abstract:
We present a framework for isogeometric analysis on unstructured quadrilateral meshes. Acknowledging the differing requirements posed by design and analysis, we propose the construction of a separate, smooth spline space for each, while ensuring isogeometric compatibility. A key ingredient in the approach is the use of singular parameterizations at extraordinary vertices. We demonstrate the versatility of the approach with applications in design and analysis.