the Institute for Theoretical and Engineering Science
Department of Mathematics

University of Houston

Scientific Computing Seminar

Professor Bernd Simeon
Center of Mathematics
Munich University of Technology, Germany
(currently on sabbatical leave at UC Berkeley)

Implicit Runge-Kutta Time Integration in Elastoplasticity

Thursday, March 3, 2005
3:00 PM- 4:00 PM
Room 634 S&R1

Abstract:

Implicit Runge-Kutta methods for the dual problem of elastoplasticity are analyzed and classified. The choice of Runge-Kutta time integration is inspired by the problem structure, which consists of a coupled system of balance equations and unilaterally constrained evolution equations and which can be viewed as an infinite-dimensional differential-algebraic equation. Focusing on the time axis and leaving the space variables continuous, a grid-independent existence and uniqueness result is given for the class of coercive Runge-Kutta methods. Moreover, contractivity preservation and convergence hold for methods that are also algebraically stable. Numerical examples illustrate the results.

Future talks in Scientific Computing Seminar $\bullet$ March 10 : Tony Chan, Department of Mathematics, UCLA. $\bullet$ March 24 : Randolph E. Bank, Department of Mathematics, UC San Diego. $\bullet$ March 31 : Roland Freund, Department of Mathematics, UC Davis. $\bullet$ April 7 : Jin-Fa Lee, The ElectroScience Laboratory, The Ohio State University. $\bullet$ April 28 : Gene H Golub, Department of Computer Science, Stanford University.

This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.