Hybridized discontinuous Galerkin methods for wave propagation
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Publication:1633513
DOI10.1007/s10915-018-0811-xzbMath1407.65184arXiv1807.00086OpenAlexW2810831025WikidataQ59797127 ScholiaQ59797127MaRDI QIDQ1633513
Publication date: 20 December 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.00086
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) 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) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
- A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses
- A hybridizable discontinuous Galerkin method for the time-harmonic Maxwell equations with high wave number
- A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell's equation
- A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation
- From Godunov to a unified hybridized discontinuous Galerkin framework for partial differential equations
- Analysis of HDG methods for Oseen equations
- Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
- Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation
- A space-time hybridizable discontinuous Galerkin method for incompressible flows on deforming domains
- A hybrid-mesh hybridizable discontinuous Galerkin method for solving the time-harmonic Maxwell's equations
- High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
- Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
- Hybridizable discontinuous Galerkin methods for Timoshenko beams
- A comparison of HDG methods for Stokes flow
- An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations
- A hybridizable discontinuous Galerkin method for Stokes flow
- Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations
- Hybridizable discontinuous Galerkin projection methods for Navier-Stokes and Boussinesq equations
- Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: motivation, formulation, and numerical examples
- An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations
- An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations
- Divergence correction techniques for Maxwell solvers based on a hyperbolic model
- Hyperbolic divergence cleaning for the MHD equations
- Stormer-Numerov HDG methods for acoustic waves
- A comparison of hybridized and standard DG methods for target-based \textit{hp}-adaptive simulation of compressible flow
- A temporally adaptive hybridized discontinuous Galerkin method for time-dependent compressible flows
- Hybridizable discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations
- A hybridized discontinuous Galerkin method on mapped deforming domains
- A hybrid high-order locking-free method for linear elasticity on general meshes
- A hybridizable discontinuous Galerkin formulation for non-linear elasticity
- HDG methods for elastodynamics
- A hybridizable discontinuous Galerkin method for modeling fluid-structure interaction
- eXtended hybridizable discontinuous Galerkin with Heaviside enrichment for heat bimaterial problems
- A class of locally well-posed hybridizable discontinuous Galerkin methods for the solution of time-harmonic Maxwell's equations
- The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows
- Optimally convergent HDG method for third-order Korteweg-de Vries type equations
- Symplectic Hamiltonian HDG methods for wave propagation phenomena
- A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures
- A hybridizable discontinuous Galerkin method for solving nonlocal optical response models
- High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows
- An explicit hybridized discontinuous Galerkin method for Serre-Green-Naghdi wave model
- A superconvergent HDG method for the Maxwell equations
- A class of embedded discontinuous Galerkin methods for computational fluid dynamics
- An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation
- An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations
- A hybrid mixed method for the compressible Navier-Stokes equations
- Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: analytical estimates
- Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
- Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number
- Superconvergent HDG methods for linear elasticity with weakly symmetric stresses
- Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation
- Conditions for superconvergence of HDG methods for second-order elliptic problems
- Superconvergent HDG Methods on Isoparametric Elements for Second-Order Elliptic Problems
- A high-order hybridizable discontinuous Galerkin method for elliptic interface problems
- Analysis of an HDG method for linear elasticity
- Superconvergence byM-decompositions. Part II: Construction of two-dimensional finite elements
- Superconvergence byM-decompositions. Part III: Construction of three-dimensional finite elements
- An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number
- Superconvergence by $M$-decompositions. Part I: General theory for HDG methods for diffusion
- Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations
- Hybridizable Discontinuous Galerkin Methods
- A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems
- Superconvergent discontinuous Galerkin methods for second-order elliptic problems
- Uniform-in-time superconvergence of HDG methods for the heat equation
- A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems
- Analysis of HDG methods for Stokes flow
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- A projection-based error analysis of HDG methods
- The embedded discontinuous Galerkin method: application to linear shell problems
- A hybridizable discontinuous Galerkin method for linear elasticity
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by M-decompositions
- An HDG method for linear elasticity with strong symmetric stresses
- An entropy stable, hybridizable discontinuous Galerkin method for the compressible Navier-Stokes equations
- A superconvergent HDG method for the incompressible Navier–Stokes equations on general polyhedral meshes
- A note on the devising of superconvergent HDG methods for Stokes flow byM-decompositions
- A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
- Conditions for superconvergence of HDG methods for Stokes flow
- Hybridizable discontinuous Galerkin p‐adaptivity for wave propagation problems
- Numerical comparison of hybridized discontinuous Galerkin and finite volume methods for incompressible flow
- Spectral approximations by the HDG method
- An analysis of HDG methods for the Helmholtz equation
- Divergence-conforming HDG methods for Stokes flows
- An adjoint consistency analysis for a class of hybrid mixed methods
