연사 : 이선미박사(국가수리과학연구소)
제목 : "Exact Artificial Boundary Conditions for
Continuum and Discrete Elasticity"
일시 : 2007.3.26(월), 16:00
장소 : 수리과학과 산업경영학동 세미나실 3221호
요약 : For the continuum and discrete elastic equations, we derive
exact artificial boundary conditions (ABCs), often referred to
as transparent boundary conditions, that can be applied at a
planar interface below which there are no forces. Solution of
the elasticity equations can then be performed using this
interface as an artificial boundary, often with greatly reduced
computational effort, but without loss of accuracy. A general
solvability requirement is presented for the existence of an
artificial boundary operator for discrete systems (such as
discrete elasticity) on an unbounded (semi-infinite) domain.
The solvability requirement is validated by introducing a sum-
of-exponentials ansatz for the solution below the artificial
boundary. We also derive a new expression for the total energy
for the system, involving only the region above the artificial
boundary. Numerical examples are provided to confirm and
illustrate the accuracy and effectiveness of the results.