The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems
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Publication:5864787
DOI10.4208/nmtma.OA-2021-0085MaRDI QIDQ5864787
Di Li, Fengru Wang, Zhi-Yuan Sun, Jerry Zhijian Yang
Publication date: 8 June 2022
Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)
discontinuous Galerkinmixed finite elementdivergence-freeStokes eigenvalue problemspatch reconstruction
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Uses Software
Cites Work
- Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
- Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes
- Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method.
- Eigenproblems associated with the discrete LBB condition for incompressible finite elements
- A numerical solution of the Navier-Stokes equations using the finite element technique
- A posteriori error estimator for eigenvalue problems by mixed finite element method
- A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem
- Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems
- An arbitrary-order discontinuous Galerkin method with one unknown per element
- Discontinuous Galerkin approximation of the Laplace eigenproblem
- A finite element method by patch reconstruction for the Stokes problem using mixed formulations
- Finite element approximation of eigenvalue problems
- The inf-sup test
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Eigenvalue Approximation by Mixed and Hybrid Methods
- A triangular spectral method for the Stokes eigenvalue problem by the stream function formulation
- Mixed Finite Element Methods and Applications
- Lower Bounds for Eigenvalues of the Stokes Operator
- New development in freefem++
- A Sequential Least Squares Method for Poisson Equation Using a Patch Reconstructed Space
- Symmetric and Nonsymmetric Discontinuous Galerkin Methods for a Pseudostress Formulation of the Stokes Spectral Problem
- Solving Eigenvalue Problems in a Discontinuous Approximation Space by Patch Reconstruction
- The triangular spectral element method for Stokes eigenvalues
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
