A Polylogarithmic Bound Foran Iterative Substructuring Methodfor Spectral Elements in Three Dimensionsluca

  title={A Polylogarithmic Bound Foran Iterative Substructuring Methodfor Spectral Elements in Three Dimensionsluca},
  author={F. PAVARINO and OLOF B. WIDLUNDyAbstract},
  • Published 1993
Iterative substructuring methods form an important family of domain decomposition algorithms for elliptic nite element problems. A p-version nite element method based on continuous, piecewise Q p functions is considered for second order elliptic problems in three dimensions; this special method can also be viewed as a conforming spectral element method. An iterative method is designed for which the condition number of the relevant operator grows only in proportion to (1 + log p) 2 : This bound… CONTINUE READING


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