/[escript]/release/4.0/doc/inversion/Forward2DMTTEMode.tex
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revision 5379 by jfenwick, Mon Dec 15 23:58:17 2014 UTC revision 5380 by jduplessis, Tue Dec 16 00:12:58 2014 UTC
# Line 123  q_{0,k}\hat{u}_{0,k} Line 123  q_{0,k}\hat{u}_{0,k}
123  \end{equation}  \end{equation}
124  for all $q_i$ with $q_i=0$ on $\Gamma_{0}$. This equation is obtained from equation~(\ref{ref:2DMTTE:EQU:104}).  for all $q_i$ with $q_i=0$ on $\Gamma_{0}$. This equation is obtained from equation~(\ref{ref:2DMTTE:EQU:104}).
125  With  With
126  \begin{align}\label{ref:2DMTTE:EQU:202c}  \begin{align}\label{ref:2DMTTE:EQU:202b}
127  Y_0  = & \sum_{s} w^{(s)} \cdot \left(  u_0 - u_{0,1} \cdot d_0^{(s)} + u_{1,1} \cdot d_1^{(s)}  \right) \\  Y_0  = & \sum_{s} w^{(s)} \cdot \left(  u_0 - u_{0,1} \cdot d_0^{(s)} + u_{1,1} \cdot d_1^{(s)}  \right) \\
128  Y_1  = & \sum_{s} w^{(s)} \cdot \left(  u_1 - u_{0,1} \cdot d_1^{(s)} - u_{1,1} \cdot d_0^{(s)}  \right)   \\  Y_1  = & \sum_{s} w^{(s)} \cdot \left(  u_1 - u_{0,1} \cdot d_1^{(s)} - u_{1,1} \cdot d_0^{(s)}  \right)   \\
129  X_{01}  = &  \sum_{s} w^{(s)} \cdot \left(    u_{0,1} \cdot ( ( d_0^{(s)})^2 + (d_1^{(s)})^2) -  u_0 \cdot d_0^{(s)} -  u_1 \cdot d_1^{(s)} \right)    \\  X_{01}  = &  \sum_{s} w^{(s)} \cdot \left(    u_{0,1} \cdot ( ( d_0^{(s)})^2 + (d_1^{(s)})^2) -  u_0 \cdot d_0^{(s)} -  u_1 \cdot d_1^{(s)} \right)    \\

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