Seminars are held Tuesdays and Thursdays in POB 6.304 from 3:30-5:00 pm, unless otherwise noted. Speakers include scientists, researchers, visiting scholars, potential faculty, and ICES/UT Faculty or staff. Everyone is welcome to attend. Refreshments are served at 3:15 pm.
Tuesday, Nov 24, 2015 from 3:30PM to 5PM
The Time Dimension, “iIntegrators” and Next Generation State-of-the-Art for First/Second Order ODE/DAE Systems
by Kumar K. Tamma
Professor, Department of Mechanical Engineering; University of Minnesota
Each computational science and engineering simulation, whether it is the analysis of a single discipline or a multi-physics application involving, first or second order system or combination thereof, has its own emphasis and analysis requirements; wishful thinking is that a “wish list” of desired attributes by the analyst to meet certain required analysis needs is desirable. Optimal design developments of algorithms are not trivial; and alternately, how to foster, select, and determine such optimal designs for a targeted application if such an optimal algorithm does not readily exist, is a desirable goal and a challenging and daunting task; not to mention the added complexity of additionally designing a general purpose unified framework – a one size fits all philosophy. Under the notion of Algorithms by Design and the theoretical basis emanating from a generalized time weighted residual philosophy, we have developed under the umbrella of "isochronous time integrators [iIntegrators]" representing the use of the "same time integration framework/architecture", novel designs for first/second order ODE /DAE transient/dynamic systems for the general class of LMS methods . The framework not only encompasses most of the research to-date developed over the past 50 years or so, but additionally encompasses more new and novel schemes and solution procedures with improved physics such as energy-momentum or symplectic-momentum conservation and other optimal attributes with/without controllable numerical dissipation. All formulations within the "iIntegration framework of individual or mixed algorithms and designs" yield the much coveted second-order time accuracy in all kinematic and algebraic variables for ODE’s and DAE’s of any index. Under the umbrella of a single unified architecture, the iIntegration framework is envisioned as the next generation toolkit; and illustrative examples are highlighted as well for computational science and engineering.
Dr. Kumar K. Tamma, is currently - Professor in the Dept. of Mechanical Engineering, College of Science and Engineering at the University of Minnesota. He has published over 200 research papers in archival journals and book chapters; and over 300 in refereed conference proceedings, and conference abstracts. His primary areas of research encompass: Computational mechanics with emphasis on multi-scale/multi-physics and fluid-thermal-structural interactions; structural dynamics and contact-impact-penetration; computational aspects of microscale/nanoscale heat transfer; composites and manufacturing processes and solidification; computational development of finite element technology and time dependent algorithms by design; and development of techniques for applications to large-scale problems and high performance parallel computing environments; and virtual surgery applications in medicine. He serves on the editorial boards for over 20 archival national/international journals, Editor-in-Chief (co-shared) of an online journal, and is the Fellow of IACM, USACM, and the Minnesota Supercomputing Institute. He is the recipient of numerous research awards including the “ICCES Outstanding Research Medal for Contributions to Computational Structural Dynamics, June 2014”; and the "George Taylor Research Award" and selected for the University of Minnesota/Institute of Technology Award for Significant and Exceptional Contributions to Research. He is also the recipient of numerous Outstanding Teaching and other national and university awards. His recent book is titled “Advances in Computational Dynamics of Particles, Materials and Structures”, John Wiley & Sons publication.
Hosted by Leszek Demkowicz