Implementation of finite element nonlinear Galerkin methods using hierarchical bases

DOI10.1007/BF00350095zbMath0771.76039MaRDI QIDQ2367879

Jacques Laminie, Roger M. Temam, Frédéric P. Pascal

Publication date: 16 August 1993

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

zbMATH Keywords

Navier-Stokes equationsBurgers equationapproximations of attractors

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Implementation and numerical analysis of the nonlinear Galerkin methods with finite elements discretization ⋮ Dynamical multilevel schemes for the solution of evolution equations by hierarchical finite element discretization ⋮ On the effectiveness of the approximate inertial manifold -- a computational study ⋮ Nonlinear Galerkin finite element method applied to the system of reaction-diffusion equations in one space dimension ⋮ Nonlinear Galerkin finite element methods for fourth-order bi-flux diffusion model with nonlinear reaction term ⋮ A new nonlinear Galerkin finite element method for the computation of reaction diffusion equations ⋮ A dynamical multi-level scheme for the Burgers equation: Wavelet and hierarchical finite element ⋮ Incremental unknowns, multilevel methods and the numerical simulation of turbulence

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