数値解析・応用解析セミナー

2月22日(木)  15:300 -- 16:30 申 東雨 (大韓民国 国立ソウル大学)
             ``Simple iterative finite element methods for Darcy's flow.''

＜研究発表要旨＞
This presentation continues to introduce a series of our recent development 
of simple hybrid methods. 
  In this talk, we propose a simple iterative method for obtaining the 
solution of finite element methods for the flux variable for Darcy's flow.  
In particular, our method recovers the flux approximation of the mixed 
finite element method without using any primary variable approximation. 
Thus, the resulting linear system is substantially smaller than that of 
the mixed finite element method. Moreover, our method requires to solve 
a system whose coefficients are symmetric, positive definite matrices, 
whose solutions can be obtained using several existing solvers. The 
pressure variable is then approximated by using the Helmholtz decomposition.
Convergence of the iterative method is shown and numerical results are 
presented. 
  This is based on joint works with Prof. JaEun Ku (Oklahoma State Univ.).

●セミナー室: 京都大学 総合研究12号館 2階203号室
              （応用解析学講座セミナー室）

●総合研究12号館はキャンパスマップでは「京都大学本部構内 54番建物」です。
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セミナー連絡先: 京都大学大学院 情報学研究科 先端数理科学専攻
                 磯 祐介    e-mail; iso@i.kyoto-u.ac.jp