A Hybrid Perturbation Galerkin Technique with Applications to Slender Body Theory

DOI10.1137/0149021zbMath0685.35012OpenAlexW2136359785MaRDI QIDQ4735482

Carl M. Andersen, James F. Geer

Publication date: 1989

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f5875c227e2885055ddca14d26d7011ad1dff7b0

zbMATH Keywords

Galerkin methodperturbation expansionslender body theory

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear higher-order PDEs (35G05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Electro- and magnetostatics (78A30) Numerical methods for partial differential equations, boundary value problems (65N99)

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Semi-analytical approximations for a class of multi-parameter eigenvalue problems related to tensile buckling ⋮ Hybrid changeable basis Galerkin technique for nonlinear analysis of structures ⋮ A hybrid perturbation–Galerkin solution to a problem in selective withdrawal ⋮ Investigating a hybrid perturbation-Galerkin technique using computer algebra ⋮ Hybrid-Galerkin perturbation method for forced oscillations of the Duffing equation

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