The inf-sup constant for the divergence on corner domains

Volume: 31, Issue: 2, Pages: 439 - 458
Published: Aug 12, 2014
Abstract
The inf-sup constant for the divergence, or LBB constant, is related to the Cosserat spectrum. It has been known for a long time that on non-smooth domains the Cosserat operator has a non-trivial essential spectrum, which can be used to bound the LBB constant from above. We prove that the essential spectrum on a plane polygon consists of an interval related to the corner angles and that on three-dimensional domains with edges, the essential...
Paper Details
Title
The inf-sup constant for the divergence on corner domains
Published Date
Aug 12, 2014
Volume
31
Issue
2
Pages
439 - 458
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