Hello I hope to precondition a system similar to step-23, with implicit time discretization (backward euler or Crank Nicolson). For example, the matrix has the form of M+dt^2K, where M is the mass matrix and K is the stiffness matrix. I'm preconditioning it with Jacobi preconditioner, which is very efficient because the system is dominated by M and applies to matrix-free framework. However, when I increase the number of freedomes, iterations increase with just Jacobi preconditioner. Is there another recommended preconditioner or modification to simple jacobi preconditioners? I cannot find one since jacobi preconditioner is quite efficient for this problem, the lack of independency to h is its only drawback.
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