Algorithm 2: spatial discretization errors for the velocity approximation |$\{ \textbf {u}^n_h\}_n$|
|$h$| . | |${\pmb {\mathcal {E}}}_{\mathbf {u},0}^n$| . | Order . | |${\pmb {\mathcal {E}}}_{\mathbf {u},1}^n$| . | Order . |
---|---|---|---|---|
|$1/5$| | 0.07981 | 0.50832 | ||
|$1/10$| | 0.04034 | 0.9844 | 0.25315 | 1.0057 |
|$1/20$| | 0.02016 | 1.0007 | 0.12662 | 0.9995 |
|$1/40$| | 0.01007 | 1.0014 | 0.06322 | 1.0021 |
|$h$| . | |${\pmb {\mathcal {E}}}_{\mathbf {u},0}^n$| . | Order . | |${\pmb {\mathcal {E}}}_{\mathbf {u},1}^n$| . | Order . |
---|---|---|---|---|
|$1/5$| | 0.07981 | 0.50832 | ||
|$1/10$| | 0.04034 | 0.9844 | 0.25315 | 1.0057 |
|$1/20$| | 0.02016 | 1.0007 | 0.12662 | 0.9995 |
|$1/40$| | 0.01007 | 1.0014 | 0.06322 | 1.0021 |
Algorithm 2: spatial discretization errors for the velocity approximation |$\{ \textbf {u}^n_h\}_n$|
|$h$| . | |${\pmb {\mathcal {E}}}_{\mathbf {u},0}^n$| . | Order . | |${\pmb {\mathcal {E}}}_{\mathbf {u},1}^n$| . | Order . |
---|---|---|---|---|
|$1/5$| | 0.07981 | 0.50832 | ||
|$1/10$| | 0.04034 | 0.9844 | 0.25315 | 1.0057 |
|$1/20$| | 0.02016 | 1.0007 | 0.12662 | 0.9995 |
|$1/40$| | 0.01007 | 1.0014 | 0.06322 | 1.0021 |
|$h$| . | |${\pmb {\mathcal {E}}}_{\mathbf {u},0}^n$| . | Order . | |${\pmb {\mathcal {E}}}_{\mathbf {u},1}^n$| . | Order . |
---|---|---|---|---|
|$1/5$| | 0.07981 | 0.50832 | ||
|$1/10$| | 0.04034 | 0.9844 | 0.25315 | 1.0057 |
|$1/20$| | 0.02016 | 1.0007 | 0.12662 | 0.9995 |
|$1/40$| | 0.01007 | 1.0014 | 0.06322 | 1.0021 |
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