A Nonstandard Extrapolation Method for Dynamical Contact Problems 【2012.11.15 10:00am,Z301】 |
【大 中 小】【打印】【关闭】 |
2012-11-13
Colloquia & Seminars
Speaker
|
Prof.Peter Deuflhard,Zuse-Institute Berlin (ZIB) and Senior-Professor an der Freien Universitat Berlin, Institut fur Mathematik, Numerische Analysis/ Scientific Computing
|
Title
|
A Nonstandard Extrapolation Method for Dynamical Contact Problems
|
Time
|
2012.11.15 10:00am
|
Venue
|
Z301
|
Abstract
|
In recent years, the author and his coworkers have suggested a meanwhile so-called contact-stabilized Newmark discretization scheme for dynamical contact problems. In the first part of the talk, this scheme will be discussed, analyzed and compared with existing versions of Newmark schemes. In a second part, an automatic timestep control will be derived on the basis of a non-standard extrapolation method. This approach demands a subtle theoretical investigation of an asymptotic error expansion of the contact-stabilized Newmark scheme exhibiting surprising new features: The theory necessary to cover the mathematical situation correctly, will have to be based on the space of bounded variation (BV). Both a consistency and a convergence theory will be presented. Finally, an illustrative numerical example will be given.
|
Affiliation
|
|
|
|