An energy-conserving finite element method for nonlinear fourth-order wave equations
DOI10.1016/j.apnum.2022.09.011zbMath1498.65158OpenAlexW4297282173MaRDI QIDQ2085704
Pengtao Sun, Jia Tian, Mingyan He, Zheng-Fang Zhang
Publication date: 18 October 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2022.09.011
energy conservationCrank-Nicolson schemeoptimal convergencefinite element method (FEM)nonlinear fourth-order wave equationstwo-level temporal discretization
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Nonlinear higher-order PDEs (35G20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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