Dear Community, i am trying to implement the following coupled, scalar, “directed” (by b\in\mathbb{R}^d) advection/transport system with Dirichlet BC on both unknowns: \begin{aligned} \partial_t V +b\cdot \nabla \phi &= 0\\ \partial_t \phi + b\cdot \nabla V &= 0 \end{aligned} The weak …

Typically you’d choose the matrix structure based on the ease with which you can implement the preconditioner you intend to employ, along with any memory and preformance requirements to which you may be subjected. Since your demo indicates you want to use standard LU factorisation for the whole sys…

BC for Blockmatrix in time-loop

dolfinx

renol-kth November 5, 2023, 10:55am 6

I found what I needed.

As an example, where Dirichlet BC are set on multiple unknowns, the reader may refer to

This discourse article
This subsection of Jørgen Dokken’s tutorial

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BC for Blockmatrix in time-loop

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