On 2/1/20 8:25 AM, Krishnakumar Gopalakrishnan wrote:
*__*
Recalling that the above system matrix is the discretized version of the
original (continuous) PDEs, this corresponds to the assembly of the bilinear form:
(v,Kâ1u)
â(divv,p)
â(q,divu)
* Now, the top-left block M of the matrix operator is clear; We are
multiplying two vector shape functions which leads to the so-called "mass
matrix".
* But the entry in the top-right block, B is not clear. This is just a
product of a scalar shape function and the negative divergence of a vector
shape function. *How is this operator, the gradient?*
Integrate it by parts to obtain -(div v,p) = +(v, grad p) :-)
Best
W.
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Wolfgang Bangerth email: [email protected]
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