An unfitted HDG method for Oseen equations

2021 ◽  
pp. 113721
Author(s):  
Manuel Solano ◽  
M. Felipe Vargas
Keyword(s):  
Oseen Equations

Lq-estimates for the stationary Oseen equations on exterior domains

2014 ◽  
Vol 257 (10) ◽  
pp. 3669-3699 ◽  
Author(s):  
Dugyu Kim ◽  
Hyunseok Kim
Keyword(s):  
Exterior Domains ◽  
Oseen Equations

scholarly journals An embedded discontinuous Galerkin method for the Oseen equations

2021 ◽  
Author(s):  
Yongbin Han ◽  
Yanren Hou
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Error Bound ◽  
Discontinuous Galerkin Method ◽  
Convergence Order ◽  
Optimal Error Estimate ◽  
Optimal Error ◽  
Oseen Equations ◽  
Optimal Error Bound ◽  
Convection Dominated

In this paper, the a prior error estimates of an embedded discontinuous Galerkin method for the Oseen equations are presented. It is proved that the velocity error in the L 2 (Ω) norm, has an optimal error bound with convergence order k + 1, where the constants are dependent on the Reynolds number (or ν − 1 ), in the diffusion-dominated regime, and in the convection-dominated regime, it has a Reynolds-robust error bound with quasi-optimal convergence order k +1 / 2. Here, k is the polynomial order of the velocity space. In addition, we also prove an optimal error estimate for the pressure. Finally, we carry out some numerical experiments to corroborate our analytical results.

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