\_form#0=50x14:$T \in\ {I\hspace{-0.3em}R}^N$
\_form#1=50x14:$\overline{T} \in\ {I\hspace{-0.3em}R}^P$
\_form#2=48x11:$N >= P$
\_form#3=10x11:$\overline{T}$
\_form#4=51x15:$\overline{g}^i \in\ {I\hspace{-0.3em}R}^P$
\_form#5=69x13:$i = 0 .. n_g-1$
\_form#6=10x9:$T$
\_form#7=53x15:$g^i \in\ {I\hspace{-0.3em}R}^N$
\_form#8=81x29:\[ \begin{array}{rl} \tau : \overline{T} & \longrightarrow \ T, \\ \overline{x} & \longmapsto \ \ x, \end{array} \]
\_form#9=181x16:$ \underline{\cal N}(\overline{x}) = \left({\cal N}i_(\overline{x})\right)i_, \ \ i = 0 .. n_g-1, $
\_form#10=14x10:$n_g$
\_form#11=8x6:$\tau$
\_form#12=124x19:$ \tau(\overline{x}) = \sum_{i = 0}^{n_g-1} {\cal N}i_(\overline{x}) g^i$
\_form#13=123x16:$ \underline{\underline{G}} = (g^0; g^1; ...;g^{n_g-1}), $
\_form#14=88x15:$ \tau(\overline{x}) = \underline{\underline{G}} \ \underline{\cal N}(\overline{x}). $
\_form#15=296x43:\[ \nabla \tau(\overline{x}) = \left( \frac{\partial \tau_i}{\partial \overline{x}_j} \right)_{ij} = \left( \sum_{l = 0}^{n_g-1}g^l_i \frac{\partial {\cal N}l_(\overline{x})}{\partial \overline{x}_j} \right)_{ij} = \underline{\underline{G}}\ \nabla \underline{\cal N}(\overline{x}), \]
\_form#16=11x15:$\underline{\underline{G}}$
\_form#17=39x14:$N \times n_g$
\_form#18=39x14:$\nabla \underline{\cal N}(\overline{x})$
\_form#19=39x14:$n_g \times P$
\_form#20=33x14:$\nabla \tau(\overline{x})$
\_form#21=36x10:$N \times P$
\_form#22=31x20:$ \frac{(n+p)!}{n!p!} $
\_form#23=9x6:$n$
\_form#24=6x10:$d$
\_form#25=14x13:$\alpha_d^n$
\_form#26=46x11:$n = 2^{pks}$
\_form#27=20x13:$pks$
\_form#28=28x14:$ \|U\|_2 $
\_form#29=38x14:$\|\nabla U\|_2$
\_form#30=56x14:$\|Hess U\|_2$
\_form#31=33x15:$\int{qu.v}$
\_form#32=9x6:$u$
\_form#33=11x10:$N$
\_form#34=6x9:$q$
\_form#35=38x10:$N\times N$
\_form#36=83x15:$ B = - \int p.div u $
\_form#37=53x16:$\int_\Omega \nabla u.\nabla v$
\_form#38=76x16:$\int_\Omega a(x)\nabla u.\nabla v$
\_form#39=23x14:$a(x)$
\_form#40=79x16:$\int_\Omega A(x)\nabla u.\nabla v$
\_form#41=26x14:$A(x)$
\_form#42=10x10:$A$
\_form#43=94x16:$\int_\Omega Kuv - \nabla u.\nabla v$
\_form#44=75x13:$\Delta u + k^2u = 0$
\_form#45=40x11:$K=k^2$
\_form#46=64x14:$ u(x) = r(x) $
\_form#47=154x30:\[ \int_{\Gamma} u(x)v(x) = \int_{\Gamma} r(x)v(x) \forall v\]
\_form#48=8x6:$ v $
\_form#49=24x14:$[0,1]$
\_form#50=113x14:$(0,0)-(0,1)-(1,0)$
\_form#51=109x14:\[ \nabla.(\lambda(x)\nabla u) = f(x). \]
\_form#52=23x14:$\lambda(x)$
\_form#53=24x14:$f(x)$
\_form#54=128x14:$ \varphi_i(\textrm{node\_of\_dof(j)}) = \delta_{ij} $
\_form#55=36x13:$ Q\times N$
\_form#56=51x15:$ Q\times (N^2)$
\_form#57=50x16:$\int_\Omega \Delta u \Delta v$
\_form#58=43x16:$\int_\Gamma{\partial_n u f}$
\_form#59=75x14:$ \partial_n u(x) = r(x) $
\_form#60=168x30:\[ \int_{\Gamma} \partial_n u(x)v(x)=\int_{\Gamma} r(x)v(x) \forall v\]
\_form#61=41x10:$ Hu = r $
\_form#62=93x15:$\int k^2 u.v - \nabla u.\nabla v$
\_form#63=41x15:$\int (qu).v $
\_form#64=66x15:$ \int \sigma(u):\varepsilon(v) $
\_form#65=238x14:$ \lambda = E\nu/((1+\nu)(1-2\nu)), \mu = E/(2(1+\nu)) $
\_form#66=195x15:$ \lambda^* = E\nu/(1-\nu^2), \mu = E/(2(1+\nu)) $
\_form#67=83x25:\[ T \longrightarrow \begin{array}{ll} T & B \\ B^t & M \end{array} \]
\_form#68=61x15:$ M = \int \epsilon p.q $
\_form#69=5x6:$ \epsilon $
\_form#70=69x13:\[ p = -\lambda \textrm{div}~u \]
\_form#71=89x14:\[ \sigma = 2 \mu \varepsilon(u) -p I \]
\_form#72=34x15:$ \int \rho u.v $
\_form#73=119x15:$ \int \rho ((u^{n+1}-u^n)/dt).v $
\_form#74=208x15:$ \int \rho ((u^{n+1}-u^n)/(\alpha dt^2) - v^n/(\alpha dt) ).w $
\_form#75=93x14:$ 1/2((Ax).x) - bx $
\_form#76=50x13:$ Cx <= f $