The mission of the Oden Institute Computational Mechanics Group (CMG) is to pursue research and development in computational mechanics and to promote Ph.D. and post-doctoral education in the discipline. Activities span fundamental mathematical investigations, the development of new and powerful computational methods and algorithms, and engineering and scientific applications.
A current focus of the CMG is isogeometric analysis, an integrated vision of computational geometry and analysis aimed at unifying the disparate methods and data structures of Computer Aided Geometric Design (CAGD) and Finite Element Analysis (FEA), and breaking the current bottleneck in the translation of CAGD representations to FEA models. Isogeometric analysis provides a unique geometric foundation to product development, from design through analysis. In the few years since its inception, isogeometric analysis has become one of the most active research areas of computational mechanics, attracting investigators from mathematics, computer science and engineering.
Other current CMG research topics are catheter-based nanoparticle drug delivery systems, the growth and adaptation of cerebral and abdominal aneurysms, new numerical algorithms for phase field models with applications to multiphase flows and the growth of prostate tumors; the basal boundary condition of the west Antarctic ice sheet; simulation of brittle and ductile fracture; and the development of new discretization technologies for computational structural mechanics and fluid dynamics, including T-splines, divergence- and curl–conforming B-splines, and boundary element methods using hierarchically refined spline bases.
Close collaborations exist with the Oden Institute Center for Computational Geosciences & Optimization, the Oden Institute Center for Predictive Engineering & Computational Sciences, the Oden Institute Computational Visualization Center, the Oden Institute Center for Cardiovascular Simulation, and several U.S. and international universities. These collaborators include Dr. Shaolie Samira Hossain, at the Methodist Hospital Research Insitute in Houston, Texas.