Two-Level Methods: The h-Version

Ernst P. Stephan and Thanh Tran
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Ernst P. Stephan: Leibniz University Hannover
Thanh Tran: The University of New South Wales

Chapter Chapter 3 in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, 2021, pp 73-98 from Springer

Abstract: Abstract This chapter designs and analyses non-overlapping and overlapping additive and multiplicative Schwarz methods for the h-version. The novelty of this chapter is that in order to prove the coercivity of the decomposition, a new inequality involving the global and local fractional-order Sobolev norms is used. This new development by the authors fixes an error ubiquitously seen in the literature.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-79283-1_3

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DOI: 10.1007/978-3-030-79283-1_3

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