An \(hp\) error analysis of a hybrid discontinuous mixed Galerkin method for linear viscoelasticity
DOI10.1016/j.cma.2023.116452OpenAlexW4387030086MaRDI QIDQ6194219
Publication date: 14 February 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2023.116452
Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
Cites Work
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- On the stability of the boundary trace of the polynomial \(L^2\)-projection on triangles and tetrahedra
- High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
- An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems
- A mixed finite element approach for viscoelastic wave propagation
- Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic-viscoelastic composite structures
- HDG methods for Stokes equation based on strong symmetric stress formulations
- Analysis of mixed finite element methods for the standard linear solid model in viscoelasticity
- On Bernstein-Markov-type inequalities for multivariate polynomials in \(L_q\)-norm
- A new mixed finite element method for elastodynamics with weak symmetry
- A parallel and adaptive hybridized discontinuous Galerkin method for anisotropic nonhomogeneous diffusion
- A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity
- Static Condensation, Hybridization, and the Devising of the HDG Methods
- Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity
- Finite element approximations of symmetric tensors on simplicial grids in Rn: the high order case
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- MIXED FINITE ELEMENT METHODS FOR LINEAR VISCOELASTICITY USING WEAK SYMMETRY
- Finite elements for symmetric tensors in three dimensions
- Mixed finite element methods for linear elasticity with weakly imposed symmetry
- A hybridizable discontinuous Galerkin method for linear elasticity
- The $h-p$ version of the finite element method with quasiuniform meshes
- Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by M-decompositions
- An HDG method for linear elasticity with strong symmetric stresses
- Interior penalty mixed finite element methods of any order in any dimension for linear elasticity with strongly symmetric stress tensor
- Manycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid Method
- New analytical tools for HDG in elasticity, with applications to elastodynamics
- A stabilized discontinuous finite element method for elliptic problems
- NONCONFORMING TETRAHEDRAL MIXED FINITE ELEMENTS FOR ELASTICITY
- A Mixed Discontinuous Galerkin Method for a Linear Viscoelasticity Problem With Strongly Imposed Symmetry
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