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Worthwhile to use PETSc to solve lots of small matrices?



Hi,
 
I am doing CFD and at each time step, I need to interpolate values at different points. I'm doing bi-quadratic interpolation and hence to get each interpolated value, I need to solve a 9x9 matrices. There's about 100+ pts and hence 100+ 9x9 matrices to solve per time step.
 
I'm wondering if it is worthwhile to use PETSc to solve them or am I better off using those direct guassian elimination solvers?
 
Thanks