fully discrete finite element methods for two-dimensional bingham flows
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ID: 206660
2018
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Abstract
This paper presents fully discrete stabilized finite element methods for two-dimensional Bingham fluid flow based on the method of regularization. Motivated by the Brezzi-Pitkäranta stabilized finite element method, the equal-order piecewise linear finite element approximation is used for both the velocity and the pressure. Based on Euler semi-implicit scheme, a fully discrete scheme is introduced. It is shown that the proposed fully discrete stabilized finite element scheme results in the h1/2 error order for the velocity in the discrete norms corresponding to L2(0,T;H1(Ω)2)∩L∞(0,T;L2(Ω)2).
| Reference Key |
fang2018mathematicalfully
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|---|---|
| Authors | ;Cheng Fang;Yuan Li |
| Journal | journal of power sources |
| Year | 2018 |
| DOI |
10.1155/2018/4865849
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