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Title: Approximate Schur complement preconditioning of the lowest order nodal discretizations

Conference ·
;  [1];  [2]
  1. Univ. of British Columbia, Vancouver, British Columbia (Canada)
  2. Los Alamos National Lab., NM (United States)

Particular classes of nodal methods and mixed hybrid finite element methods lead to equivalent, robust and accurate discretizations of 2nd order elliptic PDEs. However, widespread popularity of these discretizations has been hindered by the awkward linear systems which result. The present work exploits this awkwardness, which provides a natural partitioning of the linear system, by defining two optimal preconditioners based on approximate Schur complements. Central to the optimal performance of these preconditioners is their sparsity structure which is compatible with Dendy`s black box multigrid code.

Research Organization:
Front Range Scientific Computations, Inc., Lakewood, CO (United States)
OSTI ID:
433355
Report Number(s):
CONF-9604167-Vol.1; ON: DE96015306; TRN: 97:000720-0028
Resource Relation:
Journal Volume: 19; Journal Issue: 1; Conference: Copper Mountain conference on iterative methods, Copper Mountain, CO (United States), 9-13 Apr 1996; Other Information: PBD: [1996]; Related Information: Is Part Of Copper Mountain conference on iterative methods: Proceedings: Volume 1; PB: 422 p.
Country of Publication:
United States
Language:
English