A posteriori error analysis of space-time finite element discretizations of the time-dependent Stokes equations

DOI10.1007/s10092-010-0018-5zbMath1410.76202OpenAlexW2033411412MaRDI QIDQ1959086

Rüdiger Verfürth

Publication date: 6 October 2010

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-010-0018-5

zbMATH Keywords

error indicatorsa posteriori error analysistime-dependent Stokes equationsspace-time finite elements\(\theta \)-scheme

Mathematics Subject Classification ID

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) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (12)

A Crank-Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity-stream functions ⋮ A posteriori analysis of the Chorin-Temam scheme for Stokes equations ⋮ An adaptive space-time algorithm for the incompressible Navier-Stokes equations ⋮ A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow ⋮ Rothe's method in combination with a fundamental sequences method for the nonstationary Stokes problem ⋮ Fully Adaptive and Integrated Numerical Methods for the Simulation and Control of Variable Density Multiphase Flows Governed by Diffuse Interface Models ⋮ Optimal control of geometric partial differential equations ⋮ A posteriori error estimates of finite element method for the time-dependent Navier-Stokes equations ⋮ A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem ⋮ A posteriori error estimates of finite element method for the time-dependent Oseen equations ⋮ An adaptive finite element method for a time‐dependent Stokes problem ⋮ A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system

Uses Software

• ALBERTA

Cites Work

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• Finite element approximation of the Navier-Stokes equations
• A stable finite element for the Stokes equations
• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• Error estimates for finite element method solution of the Stokes problem in the primitive variables
• Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM
• A posteriori error estimates for finite element discretizations of the heat equation
• A POSTERIORI ERROR ANALYSIS OF THE METHOD OF CHARACTERISTICS
• Error estimates for a mixed finite element approximation of the Stokes equations
• Stability of Higher-Order Hood–Taylor Methods
• Finite Element Methods for Navier-Stokes Equations
• Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
• Mixed and Hybrid Finite Element Methods
• Construction of Corner Singularities for Agmon-Douglis-Nirenberg Elliptic Systems
• Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
• A posteriorierror analysis of the fully discretized time-dependent Stokes equations
• Robust A Posteriori Error Estimates for Nonstationary Convection-Diffusion Equations

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