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Isogeometric Spline Techniques on Complex Geometries

Xiaodong Wei, EPFL

Jessica Zhang, Carnegie Mellon University

Deepesh Toshniwal, Delft University of Technology

Isogeometric analysis (IGA) aims at bridging the gap between computer-aided design (CAD) and engineering simulations to achieve efficient, seamless design-through-analysis procedures. The central idea of IGA is to directly utilize in analysis the same spline bases that describe geometries in CAD systems, thus leading to exact geometric representations in analysis. While on simple geometries, splines have shown superior performance in various challenging applications such as fluid-structure interaction, electromagnetism, and shells/plates, there remain many challenging problems in utilizing complex geometries in IGA. The purpose of this minisymposium is to bring together experts in computational geometry and analysis to discuss the latest advancements on spline techniques that work for complex geometries. Specific topics include but not limited to: spline methods on unstructured quadrilateral/hexahedral meshes, subdivision surfaces/volumes, smooth multi-patch methods, analysis-suitable Boolean operations, immersed boundary methods, manifold splines, volumetric parameterizations, and mesh adaptivity on complex geometries. In addition to theoretical study, the minisymposium also welcomes related presentations on industrial applications and software development.