Dear all, I would like to know how I can include the two first terms in the RHS of the following expression in FEniCS \frac{{du}}{{dt}} = - \frac{d}{{dx}}\left( {a*\frac{{du}}{{dy}}} \right) + \frac{d}{{dy}}\left( {a*\frac{{du}}{{dx}}} \right) + \nabla .(b\nabla u) + f(u) I know what to do with …

I’m assuming you’ve made a typographical error and you intended to write: - \frac{\partial}{\partial x} \left( a \frac{\partial u}{\partial y}\right) + \frac{\partial}{\partial y} \left( a \frac{\partial u}{\partial x}\right) which it’s clear can be written - \frac{\partial}{\partial x} \left( …

Cross derivatives implementation in FEniCS

variational formulation

dokken November 3, 2020, 6:20pm 2

Integrate them by parts and use the Function.dx operator as shown in Expressions depending on spatially varying coefficients and their derivatives in advection-diffusion-PDE

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Cross derivatives implementation in FEniCS

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