Mathematics of Computation Volume 000, Number 0 0000, Pages 000{000 Preconditioning in H(div) and Applications

  title={Mathematics of Computation Volume 000, Number 0 0000, Pages 000\{000 Preconditioning in H(div) and Applications},
  author={A N Arnold and Richard S. Falk},
We consider the solution of the system of linear algebraic equations which arises from the nite element discretization of boundary value problems associated to the diierential operator I ? grad div. The natural setting for such problems is in the Hilbert space H(div) and the variational formulation is based on the inner product in H(div). We show how to construct preconditioners for these equations using both domain decomposition and multigrid techniques. These preconditioners are shown to be… CONTINUE READING


Publications referenced by this paper.