Title: Multigrid preconditioning in H(div) on non-convex polygons
Authors: D. N. Arnold, R. S. Falk, and R. Winther
Source: Comput. Appl. Math., 17(3):303-315, 1998
Abstract: In an earlier paper we constructed and analyzed a multigrid
preconditioner for the system of linear algebraic equations
arising from the finite element discretization of boundary value
problems associated to the differential operator I - grad div. In
this paper we analyze the procedure without assuming that the
underlying domain is convex and show that, also in this case, the
preconditioner is spectrally equivalent to the inverse of the
discrete operator.
Keywords: preconditioner, finite element, multigrid, nonconvex domain
URL: http://www.math.rutgers.edu/~falk/papers/hdivn.pdf