Numerical analysis of "discontinuous" differential equation and it application to seismic structure response evaluation
- Hold Date
- 2012-03-21 17:00～2012-03-21 18:00
- Place
- Lecture Room L-1 (3F, IMI, Kyushu University)
- Object person
-
- Speaker
-
Muneo Hori (Earthquake Research Institute, University of Tokyo)
| The 7th IMI Colloquium | Date：21 March 2012 (Wed) 17:00-18:00
(16:15-17:00 tea time at common room) | | Place：Lecture Room L-1 (3F, IMI, Kyushu University) | | Speaker：Muneo Hori (Earthquake Research Institute, University of Tokyo) | | | | Title：Numerical analysis of "discontinuous" differential equation and it application to seismic structure response evaluation | | | Abstract:
Solid continuum mechanics, which is described in terms of differential
equations, is well matured and has few unresolved problems. A difficult
unsolved problem is failure phenomena. On the mathematical viewpoint,
this problem is regarded as to solve "discontinuous" differential equations,
which are non-linear differential equations with discontinuously changing
coefficients; the solution of these equations is not continuous nor smooth.
In this seminar, a new discretization scheme which does not assume
continuity of function is introduced. Examples of numerical analysis of
solving discontinuous differential equations using this scheme are
presented; they are related to seismic response evaluation of buildings
and structures. | | | |
IMI Colloquium Report |
