Balancing domain decomposition for mortar mixed nite element methods

نویسندگان

  • Gergina Pencheva
  • Ivan Yotov
چکیده

The balancing domain decomposition method for mixed nite elements by Cowsar, Mandel, and Wheeler is extended to the case of mortar mixed nite elements on non-matching multiblock grids. The algorithm involves an iterative solution of a mortar interface problem with one local Dirichlet solve and one local Neumann solve per subdomain on each iteration. A coarse solve is used to guarantee that the Neumann problems are consistent and to provide global exchange of information across subdomains. Quasi-optimal condition number bounds are derived, which are independent of the jump in coe cients between subdomains. Numerical experiments con rm the theoretical results. Copyright ? 2002 John Wiley & Sons, Ltd.

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Balancing domain decomposition for mortar mixed finite element methods

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تاریخ انتشار 2002