Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems
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Publication:2305040
DOI10.1007/s00211-019-01095-xzbMath1455.65204arXiv1805.08981OpenAlexW2997244371WikidataQ114231035 ScholiaQ114231035MaRDI QIDQ2305040
Publication date: 10 March 2020
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.08981
a posteriori error estimatediscontinuous Galerkina priori error estimateStokes eigenvalue problemdivergence-conforming
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items (8)
Interior penalty discontinuous Galerkin methods for the velocity-pressure formulation of the Stokes spectral problem ⋮ The discontinuous Galerkin and the nonconforming ECR element approximations for an MHD Stokes eigenvalue problem ⋮ A Divergence-Conforming Finite Element Method for the Surface Stokes Equation ⋮ Symmetric and Nonsymmetric Discontinuous Galerkin Methods for a Pseudostress Formulation of the Stokes Spectral Problem ⋮ The a posteriori error estimates and adaptive computation of nonconforming mixed finite elements for the Stokes eigenvalue problem ⋮ Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem ⋮ Mixed Methods for the Velocity-Pressure-Pseudostress Formulation of the Stokes Eigenvalue Problem ⋮ The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems
Uses Software
Cites Work
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- The \texttt{deal.II} library, version 8.4
- Superconvergence and a posteriori error estimates for the Stokes eigenvalue problems
- Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem
- Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem
- Two families of mixed finite elements for second order elliptic problems
- A regularity result for the Stokes problem in a convex polygon
- A posteriori error estimation and adaptive mesh-refinement techniques
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- High precision solutions of two fourth order eigenvalue problems
- Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods
- A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem
- Error analysis for a monolithic discretization of coupled Darcy and Stokes problems
- Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods
- Multigrid methods for \(H^{\mathrm{div}}\)-conforming discontinuous Galerkin methods for the Stokes equations
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- Finite Element Methods for Eigenvalue Problems
- C 0 Interior Penalty Galerkin Method for Biharmonic Eigenvalue Problems
- Finite element approximation of eigenvalue problems
- Divergence-Conforming Discontinuous Galerkin Methods and $C^0$ Interior Penalty Methods
- Optimal convergence of adaptive FEM for eigenvalue clusters in mixed form
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Energy norm a posteriori error estimation for divergence‐free discontinuous Galerkin approximations of the Navier–Stokes equations
- Eigenvalue Approximation by Mixed and Hybrid Methods
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Mixed and Hybrid Finite Element Methods
- ARPACK Users' Guide
- Mixedhp-DGFEM for Incompressible Flows
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- Arnold--Winther Mixed Finite Elements for Stokes Eigenvalue Problems
- HP DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE STOKES PROBLEM
- A Convergent Adaptive Algorithm for Poisson’s Equation
- A new adaptive mixed finite element method based on residual type a posterior error estimates for the Stokes eigenvalue problem
- A finite element analysis of a pseudostress formulation for the Stokes eigenvalue problem
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- A posteriori estimates for the Stokes eigenvalue problem
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