Spectral element method in time for rapidly actuated systems

DOI10.1016/j.jcp.2007.09.031zbMath1134.65071OpenAlexW2036961365MaRDI QIDQ2476860

Mohammad H. Kurdi, Philip S. Beran

Publication date: 12 March 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.09.031

zbMATH Keywords

convergencewave equationspectral element methodnumerical examplesdiffusion equationfinite-differencefinite-elementsemi-discretizationtime periodicitylimit-cycle oscillationstransient responseaeroacousticrapid excitationweakly nonlinear problem

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Heat equation (35K05) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

Cost reduction techniques for the design of non-linear flapping wing structures, Optimal actuation of nonlinear resonant systems, Computational strategies for reliability-based structural optimization of aeroelastic limit cycle oscillations, Treatment of fast moving loads in elastodynamic problems with a space-time variational formulation

Uses Software

• UMFPACK
• AUTO
• NASTRAN

Cites Work

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