Isogeometric Splines: Theory and Applications (19w5196)


(University of Colorado Boulder)

(Johannes Kepler University, Linz)

Giancarlo Sangalli (University of Pavia)


The Banff International Research Station will host the "Isogeometric Splines: Theory and Applications (HALF)" workshop in Banff from February 24, 2019 to March 1, 2019.

Isogeometric Analysis (IGA), introduced in 2005 by the research group of Thomas J.R. Hughes, has emerged as a transformative simulation-based engineering technology. IGA bridges the gap between design (geometric modeling) and analysis (numerical simulation) by employing a unified representation for the geometry of engineering objects. Consequently, IGA harbors the potential to enable widespread use of design space exploration and optimization in engineering practice.

Despite the great promise of IGA, its full potential has been unrealized due to a fundamental difficulty. Namely, state-of-the-art techniques in geometric modeling are generally unable to be directly employed in analysis. The long-term vision of this workshop is to develop a unified geometric modeling framework, referred to as isogeometric splines, that satisfies both the needs of design and analysis a priori. With this vision in mind, the workshop will bring together researchers from a wide variety of fields, including computational geometry, approximation theory, numerical analysis, and algebra, to evaluate state-of-the-art geometric modeling approaches and identify promising new directions toward realizing a unified geometric modeling framework.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).