Convergence rates of approximations of incompressible flows through granular porous media

DOI10.1007/s13137-020-00157-9zbMath1464.35211OpenAlexW3038499222MaRDI QIDQ2663770

Roberto Carlos Cabrales, Marko A. Rojas-Medar, Elder Jesús Villamizar-Roa

Publication date: 19 April 2021

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13137-020-00157-9

zbMATH Keywords

convergence ratesspectral Galerkin methodgranular porous media

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Spectral methods applied to problems in fluid mechanics (76M22) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Strong solutions to PDEs (35D35)

Uses Software

• FreeFem++

Cites Work

• An efficient algorithm with stabilized finite element method for the Stokes eigenvalue problem
• Finite Element Methods for Incompressible Flow Problems
• Error estimates for the spectral Galerkin approximations of the solutions of Navier–Stokes type equations
• The Eigenfunctions of the Stokes Operator in Special Domains. II
• The Eigenfunctions of the Stokes Operator in Special Domains. III
• New development in freefem++
• Stability and error analysis for a spectral Galerkin method for the Navier‐Stokes equations with H² or H¹ initial data
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