계산수학 세미나 안내

연사 : 이창옥 교수 (KAIST 수리과학과)
제목 : "Higher-Order, Cartesian Grid Based Finite Difference
           Schemes for Elliptic Equations on Irregular Domains"
일시 : 2007년 3월 12일(월) 15:30
장소 : 수리과학과 산업경영동 세미나실(2222호)
Abstract : Second and fourth order Cartesian grid based finite
               difference methods are proposed for elliptic and parabolic
               partial differential equations, and associated eigenvalue
               problems on irregular domains with general boundary
               conditions. The methods are based on the continuation of a
               solution idea using multivariable Taylor's expansion of the
               solution about selected boundary points, and the core ideas
               of the immersed interface method. The methods offer
               systematic treatment of the general boundary conditions in
               two- and three-dimensional domains and are directly applied
               to semi-discretize heat equations on irregular domains.  
               Convergence analysis and numerical examples are
               presented. The validity and effectiveness of the proposed
               methods are demonstrated through our numerical results
               including computations of the eigenvalues of the associated
               eigenvalue problem.