Changeset 93e16fa in tol
- Timestamp:
- Dec 19, 2009, 5:03:16 PM (17 years ago)
- Branches:
- 1941-docker-image-to-test, devel, master
- Children:
- 37d12f2
- Parents:
- f4eff5d
- File:
-
- 1 edited
-
tol_pkg/MulVarFunAprox/doc/MulVarFunAprox.lyx (modified) (4 diffs)
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tol_pkg/MulVarFunAprox/doc/MulVarFunAprox.lyx
rf4eff5d r93e16fa 1396 1396 \begin_inset Formula \begin{equation} 1397 1397 \gamma\left(\tau\right)=\begin{cases} 1398 \ frac{1}{64}\left(1-\tau^{2}\right)^{4} & \forall\tau\leq1\\1398 \left(1-\tau^{2}\right)^{4} & \forall\tau\leq1\\ 1399 1399 0 & \forall\tau>1\end{cases}\end{equation} 1400 1400 … … 1454 1454 \begin_inset Formula \begin{equation} 1455 1455 \gamma'=\begin{cases} 1456 \frac{1}{32}\tau\left(\tau^{2}-1\right)^{3} & \forall\tau\leq1\\1456 8\tau\left(\tau^{2}-1\right)^{3} & \forall\tau\leq1\\ 1457 1457 0 & \forall x\notin\Omega_{h}\end{cases}\end{equation} 1458 1458 … … 1495 1495 \begin_inset Formula \begin{equation} 1496 1496 \gamma''=\begin{cases} 1497 \frac{1}{32}\left(\tau^{2}-1\right)^{2}\left(7\tau^{2}-1\right) & \forall\tau\leq1\\1497 8\left(\tau^{2}-1\right)^{2}\left(7\tau^{2}-1\right) & \forall\tau\leq1\\ 1498 1498 0 & \forall\tau>1\end{cases}\end{equation} 1499 1499 … … 1566 1566 \begin_inset Formula \begin{equation} 1567 1567 \lambda_{h}\left(x\right)=\gamma\left(\tau_{h}\left(x\right)\right)=\begin{cases} 1568 \ frac{1}{64}\left(1-\tau_{h}^{2}\left(x\right)\right)^{4} & \forall x\in\Omega_{h}\\1568 \left(1-\tau_{h}^{2}\left(x\right)\right)^{4} & \forall x\in\Omega_{h}\\ 1569 1569 0 & \forall x\notin\Omega_{h}\end{cases}\end{equation} 1570 1570
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