Guaranteed energy error estimators for a modified robust Crouzeix-Raviart Stokes element

DOI10.1007/s10915-014-9943-9zbMath1330.76074OpenAlexW2031401022MaRDI QIDQ499282

C. Merdon, Alexander Linke

Publication date: 30 September 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-014-9943-9

zbMATH Keywords

mixed finite element methodsStokes problema posteriori error estimatorsCrouzeix-Raviart finite element methodsdivergence-free methods

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (2)

Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods ⋮ Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fully computable a posteriori error estimates for the Stokes equation without the global inf-sup constant
• A unified framework for a posteriori error estimation for the Stokes problem
• An adaptive mesh-refining algorithm allowing for an \(H^1\) stable \(L^2\) projection onto Courant finite element spaces
• On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime
• An optimal Poincaré inequality for convex domains
• Minimizing Neumann fundamental tones of triangles: an optimal Poincaré inequality
• A posteriori error estimators for the Stokes equations
• A posteriori error estimator for nonconforming finite element methods
• A note on the Poincaré inequality for convex domains
• Towards discrete Velte decompositions and narrow bounds for inf-sup constants
• On the LBB condition in the numerical analysis of the Stokes equations
• Optimal and Pressure-Independent L² Velocity Error Estimates for a Modified Crouzeix-Raviart Stokes Element with BDM Reconstructions
• A Posteriori Error Estimates for the Stokes Problem
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Explicit Error Bounds for a Nonconforming Finite Element Method
• The Maximum Angle Condition for Mixed and Nonconforming Elements: Application to the Stokes Equations
• Explicit Error Estimates for Courant, Crouzeix-Raviart and Raviart-Thomas Finite Element Methods
• Reliable a posteriori error control for nonconforming finite element approximation of Stokes flow
• Computational Survey on A Posteriori Error Estimators for the Crouzeix–Raviart Nonconforming Finite Element Method for the Stokes Problem
• Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation

This page was built for publication: Guaranteed energy error estimators for a modified robust Crouzeix-Raviart Stokes element