A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations

DOI10.1016/j.cam.2020.113230zbMath1456.65124OpenAlexW3093287805MaRDI QIDQ2222175

Chi-Wang Shu, Qi Tao, Yan Xu

Publication date: 3 February 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113230

zbMATH Keywords

error estimatesdiscontinuous Galerkin methodenergy conservingnonlinear fourth-order wave equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with mechanics of deformable solids (35Q74)

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