Discontinuous Galerkin methods with staggered hybridization for linear elastodynamics

DOI10.1016/j.camwa.2017.06.003zbMath1456.65106OpenAlexW2726066796MaRDI QIDQ1659946

Chi Yeung Lam, Jie Du, Eric T. Chung

Publication date: 23 August 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.06.003

zbMATH Keywords

elastodynamicsdiscontinuous Galerkin methodstaggered gridhybridizationhigh-ordersymmetric stress tensor

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)

Related Items (2)

Mortar DG Method with Staggered Hybridization for Rayleigh Waves Simulation ⋮ A new hybrid staggered discontinuous Galerkin method on general meshes

Cites Work

• Unnamed Item
• Unnamed Item
• Non-conforming high order approximations of the elastodynamics equation
• Solution of coupled acoustic-elastic wave propagation problems with anelastic attenuation using automatic \(hp\)-adaptivity
• High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
• A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media
• Application of \(hp\)-adaptive BE/FE methods to elastic scattering
• Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity
• Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
• Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisations of the Maxwell equations
• Superconvergent HDG methods for linear elasticity with weakly symmetric stresses
• Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation
• Optimal Discontinuous Galerkin Methods for the Acoustic Wave Equation in Higher Dimensions
• A modification of cagniard’s method for solving seismic pulse problems
• A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• A high-order Discontinuous Galerkin method for the seismic wave propagation
• Optimal Discontinuous Galerkin Methods for Wave Propagation
• The Staggered DG Method is the Limit of a Hybridizable DG Method

This page was built for publication: Discontinuous Galerkin methods with staggered hybridization for linear elastodynamics