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2 changes: 2 additions & 0 deletions src/docs/usr-manual/solvers-ads.rst
Original file line number Diff line number Diff line change
Expand Up @@ -65,6 +65,8 @@ additional user input:
#. Vectors :math:`x`, :math:`y`, and :math:`z` representing the coordinates of
the vertices of the mesh.

When debugging an implementation, it might be useful to note that by construction,
:math:`CG`, the product of the discrete curl and gradient matrices is the zero matrix.
Internally, ADS proceeds with the construction of the following additional objects:

* :math:`A_C` -- the curl-curl matrix :math:`C^{\,T} {\mathbf A} C`.
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2 changes: 1 addition & 1 deletion src/docs/usr-manual/solvers-boomeramg.rst
Original file line number Diff line number Diff line change
Expand Up @@ -171,7 +171,7 @@ Special AMG Cycles
------------------------------------------------------------------------------

The default cycle is a V(1,1)-cycle, however it is possible to change the number
of sweeps of the up- and down-cycle as well as the coare grid. One can also
of sweeps of the up- and down-cycle as well as the coarse grid. One can also
choose a W-cycle, however for parallel processing this is not recommended, since
it is not scalable.

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