Mass Conserving Mixed $hp$-FEM Approximations to Stokes Flow. Part II: Optimal Convergence

DOI10.1137/20M1359110zbMath1465.76050OpenAlexW3162737015WikidataQ114074162 ScholiaQ114074162MaRDI QIDQ4989947

Charles Parker, Mark Ainsworth

Publication date: 27 May 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1359110

zbMATH Keywords

approximation theoryalgebraic convergence ratedivergence-free flowlocally quasi-uniform meshconforming mixed finite element

Mathematics Subject Classification ID

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

Related Items

Unlocking the secrets of locking: finite element analysis in planar linear elasticity ⋮ A Mass Conserving Mixed $hp$-FEM Scheme for Stokes Flow. Part III: Implementation and Preconditioning ⋮ Stable Lifting of Polynomial Traces on Triangles ⋮ Statically Condensed Iterated Penalty Method for High Order Finite Element Discretizations of Incompressible Flow ⋮ Mass Conserving Mixed $hp$-FEM Approximations to Stokes Flow. Part I: Uniform Stability

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