数値解析・応用解析セミナー

6月22日(木)  
   15:00 -- 16:00 申 東雨(Dongwoo Sheen, 大韓民国 ソウル大学数学教室)
                 ``Recent progress on a hybrid two-step finite element 
                   method: the recovery of primary variable from flux 
                   approximation''


＜研究発表要旨＞
We presented the two-step method based on the hybridization of mesh 
sizes in the traditional mixed finite element method. On a coarse mesh, 
the primary variable is approximated by a standard Galerkin method, whose 
computational cost is very low. Then, on a fine mesh, an H(div) projection
of the dual variable is sought as an accurate approximation for the flux 
variable. We present a localized pointwise error estimate for this 
procedure. We now introduce a simpler scheme to obtain the flux variable 
based on the above idea. Then the primary variable can be also obtained 
from the flux approximation. The recovery of primary variable is based 
on a discrete Helmholtz decomposition. We present error analyses for 
these approximations. Numerical examples will be presented to conform 
the efficiency and convergence of our methods.

●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@acs.i.kyoto-u.ac.jp