From: Convergence of a linearly extrapolated BDF2 finite element scheme for viscoelastic fluid flow
1/ h | \(\boldsymbol{\vert \!\vert \!\vert e_{\sigma} \vert \!\vert \!\vert _{\infty,0}}\) | \(\boldsymbol{\vert \!\vert \!\vert e_{\sigma} \vert \!\vert \!\vert _{0,0}}\) | \(\boldsymbol{\Vert e_{\mathbf{u}} \Vert _{\infty,0}}\) | \(\boldsymbol{\vert \!\vert \!\vert \nabla e_{u}\vert \!\vert \!\vert _{0,0}}\) | \(\boldsymbol{\vert \!\vert \!\vert e_{p}\vert \!\vert \!\vert _{0,0}}\) | CPU |
---|---|---|---|---|---|---|
4 | 0.00922671 | 0.00275576 | 0.00172819 | 0.0144507 | 0.0803158 | 29.361 |
6 | 0.00315424 | 0.000907616 | 0.00050577 | 0.0069492 | 0.0362654 | 90.013 |
8 | 0.00151397 | 0.000411656 | 0.000206825 | 0.00401875 | 0.0204507 | 279.113 |
12 | 0.000570131 | 0.000139673 | 5.93583e−005 | 0.00182162 | 0.00903151 | 1,416.41 |
16 | 0.000296275 | 6.74015e−005 | 2.59467e−005 | 0.00103212 | 0.00501414 | 4,432.56 |
24 | 0.000122468 | 2.56494e−005 | 1.08e−005 | 0.000462319 | 0.00214968 | 22,743.7 |
32 | 6.67788e−005 | 1.34476e−005 | 8.74507e−006 | 0.000262501 | 0.00116617 | 75,954.1 |
order | 2.3616 | 2.55223 | 2.49823 | 1.93062 | 2.03803 |