Domain Embedding and the Dirichlet Problem

نویسندگان

  • Einar Haug
  • Torgeir Rusten
  • Panayot S. Vassilevski
  • Ragnar Winther
چکیده

In this paper we study domain embedding preconditioners for discrete linear systems approximating the Dirichlet problem associated a second order elliptic equation. We observe that if a mixed finite element discretization is used, then such a preconditioner can be constructed in a straightforward manner from the H(div)–inner product. We also use the H(div)–inner product to construct a new preconditioner for the Lagrange multiplier system.

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تاریخ انتشار 1997