[Getfem-commits] (no subject)

[Tetsuo Koyama]

branch: devel-tetsuo-fix-math
commit bb0fc830115ca1f824938cdfeb9e80290553d76c
Author: Tetsuo Koyama <address@hidden>
Date:   Sun Dec 1 01:58:53 2019 +0000

    :bug: Integral variable
---
 doc/sphinx/source/tutorial/thermo_coupling.rst | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/doc/sphinx/source/tutorial/thermo_coupling.rst 
b/doc/sphinx/source/tutorial/thermo_coupling.rst
index 72ab759..8267ec1 100644
--- a/doc/sphinx/source/tutorial/thermo_coupling.rst
+++ b/doc/sphinx/source/tutorial/thermo_coupling.rst
@@ -100,9 +100,9 @@ Weak formulation of each partial differential equation is 
obtained by multiplyin
 .. math::
 
   &\mbox{Find } \theta, V, u \mbox{ with } V = 0.1, u = 0 \mbox{ on the left 
face}, V = 0 \mbox{ on the right face}, \\
-  &\ds \int_{\Omega} \varepsilon\kappa\nabla\theta\cdot\nabla\delta_{\theta} + 
2D\theta\delta_{\theta}dx = \int_{\Omega} (2DT_0 + \varepsilon\sigma|\nabla 
V|^2)\delta_{\theta} dx ~~~\mbox{ for all } \delta_{\theta}, \\
-  &\ds \int_{\Omega} \varepsilon\sigma\nabla V\cdot\nabla\delta_V = 0 dx ~~~ 
\mbox{ for all } \delta_V \mbox{ satisfying } \delta_V = 0 \mbox{ on the left 
and right faces}, \\
-  &\ds \int_{\Omega} \bar{\sigma}(u):\bar{\varepsilon}(\delta_u)dx = 
\int_{\Gamma_N} F\cdot \delta_u d\Gamma ~~~ \mbox{ for all } \delta_{u} \mbox{ 
satisfying } \delta_u = 0 \mbox{ on the left face},
+  &\ds \int_{\Omega} \varepsilon\kappa\nabla\theta\cdot\nabla\delta_{\theta} + 
2D\theta\delta_{\theta}d\Omega = \int_{\Omega} (2DT_0 + 
\varepsilon\sigma|\nabla V|^2)\delta_{\theta} d\Omega ~~~\mbox{ for all } 
\delta_{\theta}, \\
+  &\ds \int_{\Omega} \varepsilon\sigma\nabla V\cdot\nabla\delta_V = 0 d\Omega 
~~~ \mbox{ for all } \delta_V \mbox{ satisfying } \delta_V = 0 \mbox{ on the 
left and right faces}, \\
+  &\ds \int_{\Omega} \bar{\sigma}(u):\bar{\varepsilon}(\delta_u)d\Omega = 
\int_{\Gamma_N} F\cdot \delta_u d\Gamma ~~~ \mbox{ for all } \delta_{u} \mbox{ 
satisfying } \delta_u = 0 \mbox{ on the left face},
 
 
 where :math:`\delta_{\theta}, \delta_V, \delta_u` are the test functions 
corresponding to :math:`\theta, V, u`, respectively, :math:`\Gamma_N` denotes 
the right boundary where the density of force :math:`F` is applied and 
:math:`\bar{\sigma}:\bar{\varepsilon}` is the Frobenius scalar product between 
second order tensors.