Stable decompositions of hp-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D
2020 ◽
Vol 54
(1)
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pp. 145-180
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Keyword(s):
We consider fractional Sobolev spaces Hθ(Γ), θ∈[0, 1] on a 2D surface Γ. We show that functions in Hθ(Γ) can be decomposed into contributions with local support in a stable way. Stability of the decomposition is inherited by piecewise polynomial subspaces. Applications include the analysis of additive Schwarz preconditioners for discretizations of the hypersingular integral operator by the p-version of the boundary element method with condition number bounds that are uniform in the polynomial degree p.
2013 ◽
Vol 13
(2)
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pp. 411-427
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2009 ◽
Vol 78
(265)
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pp. 79-79
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Keyword(s):
2010 ◽
Vol 47
(1)
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pp. 27-49
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2007 ◽
Vol 84
(10)
◽
pp. 1417-1437
2002 ◽
Vol 40
(12)
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pp. 1463-1470
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