Convergence acceleration of iterative algorithms. Applications to thin shell analysis and Navier-Stokes equations

DOI10.1007/s00466-008-0303-1zbMath1162.74513OpenAlexW2024373763MaRDI QIDQ1021134

Michel Potier-Ferry, J. M. Cadou, Noureddine Damil, Laëtitia Duigou

Publication date: 8 June 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-008-0303-1

zbMATH Keywords

convergence accelerationPadé approximantsnonlinear problemspolynomial extrapolationiterative correctors

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Shells (74K25) Basic methods in fluid mechanics (76M99) Numerical and other methods in solid mechanics (74S99)

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An algorithm for the computation of multiple Hopf bifurcation points based on Pade approximants ⋮ A high order reduction-correction method for Hopf bifurcation in fluids and for viscoelastic vibration ⋮ Computation of Hopf bifurcations coupling reduced order models and the asymptotic numerical method ⋮ Branch switching at Hopf bifurcation analysis via asymptotic numerical method: application to nonlinear free vibrations of rotating beams ⋮ Discussion about parameterization in the asymptotic numerical method: application to nonlinear elastic shells ⋮ Nonlinear forced vibration of damped plates coupling asymptotic numerical method and reduction models ⋮ A solver combining reduced basis and convergence acceleration with applications to non‐linear elasticity

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