ME Graduate Seminar: "Isogeometric Analysis and Optimization"

Thursday, February 16 at 3:30 pm to 4:20 pm
Seamans Center, 3505 SC
103 South Capitol Street, Iowa City, Iowa

Isogeometric Analysis and Optimization presented by Xiaoping Qian, Associate Professor in the Department of Mechanical Engineering at the University of Wisconsin–Madison Abstract: Isogeometric analysis is a numerical analysis technique that uses spline basis functions from CAD geometry to approximate the solutions of partial differential equations. Due to the same representation being used in both geometry and in analysis, it alleviates the burden of geometric model conversion and approximation in CAD-through-analysis. The increased continuity of the spline basis has significant numerical advantages over traditional finite element analysis, e.g. improved convergence rates on a per degree-of-freedom basis. In this talk, I will present a triangulation based isogeometric analysis approach. In this approach, both the geometry and physical fields are represented by bivariate/trivariate splines in Bernstein–Bézier form over the triangulation. We describe procedures for domain parameterization and triangulation from given physical domains, and procedures for constructing Cr-smooth basis functions over the domain. As a result, this approach can achieve automated meshing of objects of complex topologies, allow highly localized refinement, and obtain optimal convergence rates. I will conclude this talk with discussions on the applications of isogeometric analysis in shape and topology optimization. Individuals with disabilities are encouraged to attend all University of Iowa sponsored events. If you have a disability that requires an accommodation in order to participate in this program, please call  the department  in advance, at 319-335-5939.

Contact Info: MIE Office, mie-engineering@uiowa.edu, 319-335-5939