Unstructured Spline Technologies

D. Toshniwal, TU Delft

J. Zhang, Carnegie Mellon University

G. Elber, Technion University

J. Peters, University of Florida

X. Wei, EPFL

Isogeometric Analysis (IGA) advocates for the direct utilization of spline-based geometric representations for performing spline-based numerical simulations. Over the last decade and a half, this philosophy has been applied to diverse applications with great success, and has yielded theoretical developments that cement the status of smooth splines as excellent tools for approximation.

However, a fundamental problem that still needs to be addressed is the formulation of unstructured spline technologies for performing (a) analysis-aware design of complex ge- ometries, and/or (b) design-aware numerical simulations. This minisymposium will bring together experts from computer-aided geometric design and numerical analysis to discuss such technologies that are focused on attaining the central objective of IGA | \to bridge the gap between CAD and simulations."

Specific topics of interest include, but are not limited to: analysis-suitable (approximately) smooth splines on multi-patch quad/hex meshes; subdivision surfaces and solids; splines on simplicial meshes; immersed methods; spline manifolds; local renement for complex geometries; analysis-suitable boolean operations; boundary representations (B-reps); volumetric representations (V-reps); global and local reparameterization techniques for trimmed geometries; simulation methods for trimmed geometries. In addition to theoretical studies, the minisymposium also welcomes related application- oriented contributions.