Simple nonconforming brick element for 3D Stokes equations |
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| Affiliation: | 1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China;2. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China;3. School of Software, Dalian University of Technology, Dalian, 116620, China |
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| Abstract: | A simple nonconforming brick element is proposed for 3D Stokes equations. This element has 15 degrees of freedom and reaches the lowest approximation order. In the mixed scheme for Stokes equations, we adopt our new element to approximate the velocity, along with the discontinuous piecewise constant element for the pressure. The stability of this scheme is proved and thus the optimal convergence rate is achieved. A numerical example verifies our theoretical analysis. |
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| Keywords: | 3D Stokes equations Nonconforming finite element Stability |
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