.. _diffusion-poisson_field_dependent_material: diffusion/poisson_field_dependent_material.py ============================================= **Description** Laplace equation with a field-dependent material parameter. Find :math:`T(t)` for :math:`t \in [0, t_{\rm final}]` such that: .. math:: \int_{\Omega} c(T) \nabla s \cdot \nabla T = 0 \;, \quad \forall s \;. where :math:`c(T)` is the :math:`T` dependent diffusion coefficient. Each iteration calculates :math:`T` and adjusts :math:`c(T)`. .. image:: /../doc/images/gallery/diffusion-poisson_field_dependent_material.png :download:`source code ` .. literalinclude:: /../sfepy/examples/diffusion/poisson_field_dependent_material.py