Parallel algorithms for
maximal monotone operators of local type |
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Authors: | William J Layton Joseph M Maubach Patrick J Rabier |
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Institution: | (1) Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA 15260, USA , US |
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Abstract: | Summary.
This paper presents general algorithms for the parallel
solution of
finite element problems associated with maximal monotone operators of local
type. The latter concept, which is also introduced here, is well suited to
capture the idea that the given operator is the discretization of a differential
operator that may involve nonlinearities and/or constraints as long as those are
of a local nature. Our algorithms are obtained as a combination of known
algorithms for possibly multi-valued maximal monotone operators with appropriate
decompositions of the domain. This work extends a method due to two of the
authors in the single-valued and linear case.
Received April 25, 1994 |
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Keywords: | Mathematics Subject Classification (1991):65N30 |
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