Analysis of the Pressure Stabilized Petrov--Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step Restrictions

DOI10.1137/130944941zbMath1312.65162OpenAlexW1990281154MaRDI QIDQ5253600

Julia Novo, Volker John

Publication date: 27 May 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130944941

zbMATH Keywords

optimal error estimatesbackward Euler schemePSPG stabilizationevolutionary Stokes equationsequal order pairs of finite element spacessmall time step instability

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem, On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations, Error analysis of projection methods for non inf-sup stable mixed finite elements: the Navier-Stokes equations, Projection methods for incompressible flow problems with WENO finite difference schemes, Higher-order discontinuous Galerkin time stepping and local projection stabilization techniques for the transient Stokes problem, A viscosity-independent error estimate of a pressure-stabilized Lagrange-Galerkin scheme for the Oseen problem, Numerical study of the use of residual- and non-residual-based stabilized VMS formulations for incompressible power-law fluids, A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems, An efficient Chorin-Temam projection proper orthogonal decomposition based reduced-order model for nonstationary Stokes equations, Simplified subgrid multiscale stabilized finite element method in the transient framework for Stokes equations

Uses Software

• MooNMD

Cites Work

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