Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition

DOI10.1051/m2an/2019008zbMath1465.65140arXiv1809.09464OpenAlexW2964028950WikidataQ128202207 ScholiaQ128202207MaRDI QIDQ5230154

Issei Oikawa, Guanyu Zhou, Takahito Kashiwabara

Publication date: 20 August 2019

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.09464

zbMATH Keywords

Stokes equationsslip boundary conditiondomain perturbationnonconforming FEMdiscrete \(H^{1/2}\)-norm

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30)

Related Items (5)

A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport ⋮ Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis ⋮ The Crouzeix-Raviart element for the Stokes equations with the slip boundary condition on a curved boundary ⋮ An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface ⋮ Stokes and Navier-Stokes equations under power law slip boundary condition: numerical analysis

Uses Software

• FEniCS

Cites Work

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