A finite element analysis of a pseudostress formulation for the Stokes eigenvalue problem

DOI10.1093/imanum/dru006zbMath1416.65426OpenAlexW2323706105MaRDI QIDQ5249723

Rodolfo Rodríguez, Salim Meddahi, David Mora

Publication date: 11 May 2015

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/147978

zbMATH Keywords

error estimateseigenvalue problemmixed finite elementsStokes equationspseudostress

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) 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 (12)

Variational eigenvalue approximation of non-coercive operators with application to mixed formulations in elasticity ⋮ Mixed discontinuous Galerkin approximation of the elasticity eigenproblem ⋮ Spectral Analysis of a Mixed Method for Linear Elasticity ⋮ Interior penalty discontinuous Galerkin methods for the velocity-pressure formulation of the Stokes spectral 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 ⋮ Arnold--Winther Mixed Finite Elements for Stokes Eigenvalue Problems ⋮ Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method ⋮ Symmetric and Nonsymmetric Discontinuous Galerkin Methods for a Pseudostress Formulation of the Stokes Spectral Problem ⋮ Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems ⋮ 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

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