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. | | |