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Three-dimensional stable nonconforming parallelepiped elements for the Stokes problem |
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| Authors: | Yongdeok Kim Hoon Huh Sungyun Lee |
| Affiliation: | a Department of Mathematics, KAIST, 373-1 Kusong-dong, Yusong-gu, Daejeon, 305–701, Republic of Korea b Department of Mechanical Engineering, KAIST, Kusong-dong, Yusong-gu, Daejeon, 305–701, Republic of Korea |
| Abstract: | Stability result is obtained for the approximation of the stationary Stokes problem with nonconforming elements proposed by Jim Douglas Jr. et al. [Math. Model. Numer. Anal. 33 (4) (1999) 747] for the velocity with conforming bubble functions and discontinuous piecewise linear for the pressure on parallelepiped elements. Optimal order H1 and L2 error estimates are derived. |
| Keywords: | Stability Nonconforming method Stokes problem |
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