Finite element error analysis of surface Stokes equations in stream function formulation

DOI10.1051/m2an/2020044zbMath1467.65105arXiv1910.09221OpenAlexW3040362206MaRDI QIDQ4994011

Arnold Reusken, Philip Brandner

Publication date: 11 June 2021

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

Full work available at URL: https://arxiv.org/abs/1910.09221

zbMATH Keywords

error analysisstream function formulationTraceFEMsurface Stokes

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations, Error analysis of higher order trace finite element methods for the surface Stokes equation, Derivation and simulation of a two-phase fluid deformable surface model, A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem

Uses Software

• Netgen
• NGSolve
• CutFEM

Cites Work

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