An efficient numerical method for the resolution of the Kirchhoff‐Love dynamic plate equation

DOI10.1002/num.20041zbMath1079.74060OpenAlexW1987262538WikidataQ115398767 ScholiaQ115398767MaRDI QIDQ4667814

Patrick Joly, Grégoire Derveaux, Eliane Bécache

Publication date: 21 April 2005

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20041

zbMATH Keywords

spectral methodLagrange finite elementsanisotropic heterogeneous material

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Spectral and related methods applied to problems in solid mechanics (74S25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

LIFESPAN ESTIMATES FOR SOLUTIONS OF POLYHARMONIC KIRCHHOFF SYSTEMS ⋮ On a \(p\left( x\right)\)-biharmonic Kirchhoff problem with Navier boundary conditions ⋮ Port-Hamiltonian fluid–structure interaction modelling and structure-preserving model order reduction of a classical guitar ⋮ Numerical methods for fourth-order PDEs on overlapping grids with application to Kirchhoff-Love plates ⋮ Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables ⋮ Stable and accurate numerical methods for generalized Kirchhoff-Love plates ⋮ Convergence analysis of virtual element method for nonlinear nonlocal dynamic plate equation

Cites Work

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• Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation
• ERROR ANALYSIS OF MIXED-INTERPOLATED ELEMENTS FOR REISSNER-MINDLIN PLATES
• Mixed and Hybrid Finite Element Methods
• A mixed method for 4th order problems using linear finite elements
• Analysis of Heterogeneous Anisotropic Plates

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