The \(p\) and \(h-p\) versions of some finite element methods for Stokes' problem

DOI10.1016/S0045-7825(94)80018-9zbMath0824.76045OpenAlexW2020352786MaRDI QIDQ1892455

Yanyan Li

Publication date: 15 November 1995

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(94)80018-9

zbMATH Keywords

stabilityboundary conditionssaddle point problemalgebraic instabilitiesvelocity-pressure space pairs

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

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• \(p\)-version of mixed finite element methods for Stokes-like problems
• The h-p version of the finite element method for elliptic equations of order 2m
• Spectral Tau approximation of the two-dimensional Stokes problem
• On computing the pressure by the \(p\) version of the finite element method for Stokes problem
• On the stability and performance of the \(p\)-version of the finite element method for first-order hyperbolic problems
• A right-inverse for divergence operator in spaces of piecewise polynomials. Application to the p-version of the finite element method
• Error-bounds for finite element method
• An $H_0^m $ Interpolation Result
• The $p$-version of the finite element method for elliptic equations of order $2l$
• Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
• Analysis of Some Mixed Finite Element Methods Related to Reduced Integration
• Higher Order Local Accuracy by Averaging in the Finite Element Method
• Divergence stability in connection with the $p$-version of the finite element method

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