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Uniform preconditioners for problems of positive order

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 نشر من قبل Raymond van Veneti\\\"e
 تاريخ النشر 2019
  مجال البحث الهندسة المعلوماتية
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Using the framework of operator or Cald{e}ron preconditioning, uniform preconditioners are constructed for elliptic operators of order $2s in [0,2]$ discretized with continuous finite (or boundary) elements. The cost of the preconditioner is the cost of the application an elliptic opposite order operator discretized with discontinuous or continuous finite elements on the same mesh, plus minor cost of linear complexity. Herewith the construction of a so-called dual mesh is avoided.



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