Dear FreeFem community!
I would like to solve a nonlinear problem using FreeFem and PETSc. The problem consists of 3 [P2,P2,P1] equations and a scalar equation that sets the value of one of the vectorial functions at a single point. The scalar equation and the effect of the scalar value appears as row and column vectors in the block-assembled Jacobian.
I am confused about how the scalar equation should be calculated in the block matrix structure. In the example following example, the rectangular matrix assembly is illustrated well; however, I am not sure how to handle the rows. Should I make vectors from the variational formulation and rearrange their numbering using the ‘ChangeNumbering’ command, and then add them to the block matrix? If not, how can I define an (n,1) sized Mat object? I am also confused about changing from PETSc to FreeFem numbering: can this also be done for each [P2,P2,P1] component individually, just like when switching from FreeFem to PETSc?
Thanks in advance