Symplectic Hamiltonian HDG methods for wave propagation phenomena
From MaRDI portal
Publication:1699059
DOI10.1016/j.jcp.2017.09.010zbMath1380.65421OpenAlexW2756023633MaRDI QIDQ1699059
Publication date: 16 February 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2017.09.010
Hamiltonian systemsfinite element methodsenergy conservationdiscontinuous Galerkin methodsacoustic wave equationhybrid/mixed methodssymplectic time integrators
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
Related Items
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation, The pursuit of a dream, Francisco Javier Sayas and the HDG methods, Hybridized discontinuous Galerkin methods for wave propagation, Energy conserving successive multi-stage method for the linear wave equation, Hybrid high-order methods for the acoustic wave equation in the time domain, Symplectic Hamiltonian finite element methods for electromagnetics, Improved error estimates of hybridizable interior penalty methods using a variable penalty for highly anisotropic diffusion problems, A symplectic finite element method based on Galerkin discretization for solving linear systems, Energy-conserving successive multi-stage method for the linear wave equation with forcing terms, Functional equivariance and conservation laws in numerical integration, Time-explicit hybrid high-order method for the nonlinear acoustic wave equation, Theory and implementation of coupled port-Hamiltonian continuum and lumped parameter models, Symplectic Hamiltonian finite element methods for linear elastodynamics, Convergence analysis of hybrid high-order methods for the wave equation, Multisymplecticity of hybridizable discontinuous Galerkin methods, Unfitted hybrid high-order methods for the wave equation, Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes, A Superconvergent Ensemble HDG Method for Parameterized Convection Diffusion Equations, A stable numerical scheme based on the hybridized discontinuous Galerkin method for the Ito-type coupled KdV system, Discontinuous Galerkin methods with time-operators in their numerical traces for time-dependent electromagnetics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Energy conserving local discontinuous Galerkin methods for wave propagation problems
- Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
- A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media
- A priori estimates for mixed finite element methods for the wave equation
- Symplectic-mixed finite element approximation of linear acoustic wave equations
- On quadratic invariants and symplectic structure
- Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods
- Mimetic finite difference methods for Hamiltonian wave equations in 2D
- An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation
- Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation
- Static Condensation, Hybridization, and the Devising of the HDG Methods
- Superconvergence byM-decompositions. Part II: Construction of two-dimensional finite elements
- Superconvergence byM-decompositions. Part III: Construction of three-dimensional finite elements
- Superconvergence by $M$-decompositions. Part I: General theory for HDG methods for diffusion
- Stability of Runge-Kutta Methods for Trajectory Problems
- Optimal Discontinuous Galerkin Methods for the Acoustic Wave Equation in Higher Dimensions
- Solving Ordinary Differential Equations I
- Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems
- A space-time discontinuous Galerkin method for the solution of the wave equation in the time domain
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- On the application of mixed finite element methods to the wave equations
- The accuracy of symplectic integrators
- Explicit Finite Element Methods for Symmetric Hyperbolic Equations
- Discontinuous Galerkin Finite Element Method for the Wave Equation
- Geometric Numerical Integration
