HDG methods for elastodynamics

DOI10.1016/j.camwa.2017.08.016zbMath1395.74085arXiv1611.05824OpenAlexW2550050033WikidataQ64433289 ScholiaQ64433289MaRDI QIDQ1672625

Francisco-Javier Sayas, Allan Hungria, Daniele Prada

Publication date: 11 September 2018

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

Full work available at URL: https://arxiv.org/abs/1611.05824

zbMATH Keywords

elastic wave equationoptimal convergencehybridizable DG methodstime-harmonic solutions

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

The pursuit of a dream, Francisco Javier Sayas and the HDG methods ⋮ Hybridized discontinuous Galerkin methods for wave propagation ⋮ A three-dimensional Hellinger-Reissner virtual element method for linear elasticity problems ⋮ Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation ⋮ A note on devising HDG+ projections on polyhedral elements ⋮ A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity ⋮ New analytical tools for HDG in elasticity, with applications to elastodynamics ⋮ Numerical analysis \& no regrets. Special issue dedicated to the memory of Francisco Javier Sayas (1968--2019) ⋮ Discontinuous Galerkin methods with time-operators in their numerical traces for time-dependent electromagnetics

Uses Software

• Algorithm 949

Cites Work

• Unnamed Item
• To CG or to HDG: a comparative study in 3D
• Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation
• High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
• High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows
• An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation
• Algorithm 949
• Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation
• Analysis of an HDG method for linear elasticity
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• A new elasticity element made for enforcing weak stress symmetry
• A hybridizable discontinuous Galerkin method for linear elasticity
• An HDG method for linear elasticity with strong symmetric stresses

This page was built for publication: HDG methods for elastodynamics