On 07/16/2017 04:52 AM, 'Maxi Miller' via deal.II User Group wrote:
N, T_E and T_L are a matrix, either 2d or 3d, which can be represented as
points on a grid. k_N, k_E and k_L are depending on the value of (respective)
N, T_E and T_L, i.e. k_{N, 11}=k_N(N_{11}). I am not sure if that qualifies
the k-values as matrix/vector values, or as scalar.
Maxi -- but that still doesn't make any sense. In your equations, you have
(for example)
d/dt N + nabla (k_N N)
If N is a matrix, then d/dt N is also a matrix. If k is a scalar, then
nabla (k_N N)
is either a rank-3 tensor (if nabla is the gradient) or a scalar (if nabla is
the divergence). Either way, you cannot add it to the matrix that you have
from d/dt N.
So, before thinking about how to solve these equations, it is important to
figure out what exactly the equations actually represent.
Best
W.
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Wolfgang Bangerth email: [email protected]
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