A Local Discontinuous Galerkin Approximation for the p-Navier–Stokes System, Part I: Convergence Analysis
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Publication:6171367
DOI10.1137/22m151474xzbMath1518.76035arXiv2208.04106MaRDI QIDQ6171367
Michael Ružička, A. Kaltenbach
Publication date: 18 July 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.04106
stabilityweak convergencewell-posednessStokes problemfully nonhomogeneous steady Navier-Stokes equationsnonconforming pseudomonotonicity
Navier-Stokes equations for incompressible viscous fluids (76D05) 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) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (3)
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{{p}}\) -Navier–Stokes System, Part II: Convergence Rates for the Velocity ⋮ A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{p}\) -Navier–Stokes System, Part III: Convergence Rates for the Pressure ⋮ Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications
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