A posteriori error estimation for the fractional step theta discretization of the incompressible Navier-Stokes equations

DOI10.1016/j.cma.2014.11.031zbMath1423.76260OpenAlexW2016728159MaRDI QIDQ1736988

Dominik Meidner, Thomas Richter

Publication date: 26 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.cma.2014.11.031

zbMATH Keywords

error estimationadaptivityincompressible Navier-Stokestime steppingfractional step theta

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (10)

Error estimation and adaptivity for differential equations with multiple scales in time ⋮ Robust stabilised finite element solvers for generalised Newtonian fluid flows ⋮ A stabilized fractional-step finite element method for the time-dependent Navier-Stokes equations ⋮ Numerical modeling and open-source implementation of variational partition-of-unity localizations of space-time dual-weighted residual estimators for parabolic problems ⋮ Tensor-product space-time goal-oriented error control and adaptivity with partition-of-unity dual-weighted residuals for nonstationary flow problems ⋮ Adaptive time-step control for nonlinear fluid-structure interaction ⋮ Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow ⋮ Duality based error estimation in the presence of discontinuities ⋮ A Newton multigrid framework for optimal control of fluid-structure interactions ⋮ A priori and a posteriori error estimates for the deep Ritz method applied to the Laplace and Stokes problem

Cites Work

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• Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
• Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow

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