Mass Smoothers in Geometric Multigrid for Isogeometric Analysis

نویسندگان

  • Clemens Hofreither
  • Walter Zulehner
چکیده

We investigate geometric multigrid methods for solving the large, sparse linear systems which arise in isogeometric discretizations of elliptic partial differential equations. In particular, we study a smoother which incorporates the inverse of the mass matrix as an iteration matrix, and which we call mass-Richardson smoother. We perform a rigorous analysis in a model setting and perform some numerical experiments to confirm the theoretical results.

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تاریخ انتشار 2014