Symmetric and Nonsymmetric Discontinuous Galerkin Methods for a Pseudostress Formulation of the Stokes Spectral Problem
From MaRDI portal
Publication:5221028
DOI10.1137/19M1259535zbMath1432.76161MaRDI QIDQ5221028
Publication date: 27 March 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items
Displacement‐pseudostress formulation for the linear elasticity spectral problem ⋮ The mixed discontinuous Galerkin method for transmission eigenvalues for anisotropic medium ⋮ Discontinuous Galerkin methods for the acoustic vibration problem ⋮ An hp-mixed discontinuous Galerkin method for the biharmonic eigenvalue problem ⋮ Spectral Analysis of a Mixed Method for Linear Elasticity ⋮ 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 DG method for a stress formulation of the elasticity eigenproblem with strongly imposed symmetry ⋮ A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem ⋮ A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator ⋮ 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
- Unnamed Item
- Mathematical aspects of discontinuous Galerkin methods.
- Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations
- Automated solution of differential equations by the finite element method. The FEniCS book
- Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes
- Two families of mixed finite elements for second order elliptic problems
- Discrete spectrum analyses for various mixed discretizations of the Stokes eigenproblem
- Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods
- Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems
- A stabilized finite element method for the two-field and three-field Stokes eigenvalue problems
- Discontinuous Galerkin approximation of the Laplace eigenproblem
- Mixed discontinuous Galerkin approximation of the elasticity eigenproblem
- Finite Element Spectral Analysis for the Mixed Formulation of the Elasticity Equations
- Finite element approximation of eigenvalue problems
- Finite elements in computational electromagnetism
- Mixed finite element methods for incompressible flow: Stationary Stokes equations
- Eigenvalue Approximation by Mixed and Hybrid Methods
- Approximation of the Eigenvalues of a Nonselfadjoint Operator Arising in the Study of the Stability of Stationary Solutions of the Navier–Stokes Equations
- On spectral approximation. Part 1. The problem of convergence
- On spectral approximation. Part 2. Error estimates for the Galerkin method
- Pseudostress-Based Mixed Finite Element Methods for the Stokes Problem in ℝnwith Dirichlet Boundary Conditions. I: A Priori Error Analysis
- Arnold--Winther Mixed Finite Elements for Stokes Eigenvalue Problems
- A finite element analysis of a pseudostress formulation for the Stokes eigenvalue problem
- Discontinuous Galerkin Approximation of the Maxwell Eigenproblem
- Analyses of Mixed Continuous and Discontinuous Galerkin Methods for the tIme Harmonic Elasticity Problem with Reduced Symmetry
- A posteriori estimates for the Stokes eigenvalue problem
