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
March 10 : Tony Chan, Department of Mathematics, UCLA.
March 24 : Randolph E. Bank, Department of Mathematics, UC San Diego.
March 31 : Roland Freund, Department of Mathematics, UC Davis.
April 7 : Jin-Fa Lee, The ElectroScience Laboratory, The Ohio State University.
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.