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- W2066730477 abstract "We extend the abstract frameworks for the multigrid analysis for nonconforming finite elements to the case where the assumptions of the second Strang lemma are violated. The consistency error is studied in detail for finite element discretizations on domains with curved boundaries. This is applied to prove the approximation property for conforming elements, stabilized <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper Q 1 slash upper P 0> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>Q</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>/</mml:mo> </mml:mrow> <mml:msub> <mml:mi>P</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:mrow> <mml:annotation encoding=application/x-tex>Q_1/P_0</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-elements, and nonconforming elements for linear elasticity on nonpolygonal domains." @default.
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- W2066730477 date "2004-03-09" @default.
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- W2066730477 title "Criteria for the approximation property for multigrid methods in nonnested spaces" @default.
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- W2066730477 doi "https://doi.org/10.1090/s0025-5718-04-01628-x" @default.
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