Extension Techniques in Dd

نویسنده

  • GUNDOLF HAASE
چکیده

One component in Additive Schwarz Method (ASM) Domain Decomposition (DD) preconditioners BPS89, SBG96] using inexact subdomain solvers Boe89, HLM91] consists in an operator extending the boundary data into the interior of each subdomain, i.e. a homogeneous extension with respect to the diierential operator given in that subdomain. This paper is concerned with the construction of cheap extension operators using multilevel nodal bases Yse86, Xu89, BPX90, Osw94] from an implementation viewpoint. Additional smoothing sweeps in the extension operators further improve the condition number of the preconditioned system. The paper summarizes and improves results given in HLMN94, Nep95, Haa97].

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تاریخ انتشار 1996