Institute of Mathematics for Industry

Seminar



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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