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- W2095487507 abstract "We establish optimal (up to arbitrary ε>0) convergence rates for a finite element formulation of a model second order elliptic boundary value problem in a weighted H2 Sobolev space with 5th degree Argyris elements. This formulation arises while generalizing to the case of non-smooth domains an unconditionally stable scheme developed by Liu et al. [J.-G. Liu, J. Liu, R.L. Pego, Stability and convergence of efficient Navier–Stokes solvers via a commutator estimate, Comm. Pure Appl. Math. 60 (2007) pp. 1443–1487] for the Navier–Stokes equations. We prove the optimality for both quasiuniform and graded mesh refinements, and provide numerical results that agree with our theoretical predictions." @default.
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- W2095487507 date "2010-03-01" @default.
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- W2095487507 title "The optimal convergence rate of a <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si45.gif display=inline overflow=scroll><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> finite element method for non-smooth domains" @default.
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- W2095487507 doi "https://doi.org/10.1016/j.cam.2009.11.020" @default.
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