MULTIGRID PRECONDITIONING IN H(div) ON NON-CONVEX POLYGONS*

نویسندگان

  • DOUGLAS N. ARNOLD
  • RICHARD S. FALK
  • RAGNAR WINTHER
چکیده

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 − graddiv. 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.

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تاریخ انتشار 1997