Mixed Methods for the Velocity-Pressure-Pseudostress Formulation of the Stokes Eigenvalue Problem

DOI10.1137/21M1402959zbMath1491.35340arXiv2103.03463OpenAlexW3133772073MaRDI QIDQ5864690

Gonzalo Rivera, Jesus Vellojin, Felipe Lepe

Publication date: 8 June 2022

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03463

zbMATH Keywords

error estimateseigenvalue problemsStokes equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (4)

Displacement‐pseudostress formulation for the linear elasticity spectral problem ⋮ A posteriori analysis for a mixed formulation of the Stokes spectral problem ⋮ Interior penalty discontinuous Galerkin methods for the velocity-pressure formulation of the Stokes spectral problem ⋮ Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem

Uses Software

• FEniCS
• SyFi

Cites Work

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