New analytical tools for HDG in elasticity, with applications to elastodynamics

DOI10.1090/mcom/3499zbMath1436.65177arXiv1903.11766OpenAlexW2988918449WikidataQ126832971 ScholiaQ126832971MaRDI QIDQ4960074

Shukai Du, Francisco-Javier Sayas

Publication date: 8 April 2020

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11766

zbMATH Keywords

discontinuous Galerkin methodelastic waveshybridizationoptimal convergence

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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 (11)

The pursuit of a dream, Francisco Javier Sayas and the HDG methods ⋮ Superconvergent interpolatory HDG methods for reaction diffusion equations. II: HHO-inspired methods ⋮ A priori error analysis of new semidiscrete, Hamiltonian HDG methods for the time-dependent Maxwell’s equations ⋮ Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems ⋮ A Unified Error Analysis of Hybridizable Discontinuous Galerkin Methods for the Static Maxwell Equations ⋮ Fast, low-memory numerical methods for radiative transfer via \(hp\)-adaptive mesh refinement ⋮ An \(hp\) error analysis of a hybrid discontinuous mixed Galerkin method for linear viscoelasticity ⋮ HDG methods for Stokes equation based on strong symmetric stress formulations ⋮ A note on devising HDG+ projections on polyhedral elements ⋮ Symplectic Hamiltonian finite element methods for linear elastodynamics ⋮ Numerical analysis \& no regrets. Special issue dedicated to the memory of Francisco Javier Sayas (1968--2019)

Cites Work

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