Convergence analysis for the wave equation discretized with hybrid methods in space (HHO, HDG and WG) and the leapfrog scheme in time
DOI10.1007/S10915-024-02609-YMaRDI QIDQ6608078
Publication date: 19 September 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) 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)
Cites Work
- Title not available (Why is that?)
- Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media
- Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
- An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
- High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
- Mathematical aspects of discontinuous Galerkin methods.
- A diagonal-mass-matrix triangular-spectral-element method based on cubature points
- Hybrid high-order methods for finite deformations of hyperelastic materials
- Stormer-Numerov HDG methods for acoustic waves
- A hybrid high-order locking-free method for linear elasticity on general meshes
- Symplectic Hamiltonian HDG methods for wave propagation phenomena
- Discontinuous skeletal gradient discretisation methods on polytopal meshes
- Convergence analysis of hybrid high-order methods for the wave equation
- Unfitted hybrid high-order methods for the wave equation
- Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and \(H^{1+r}, r>0\), regularity
- A systematic study on weak Galerkin finite-element method for second-order wave equation
- Hybrid high-order methods for the acoustic wave equation in the time domain
- The hybrid high-order method for polytopal meshes. Design, analysis, and applications
- High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows
- An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation
- Higher order triangular finite elements with mass lumping for the wave equation
- Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
- Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation
- A Review of Hybrid High-Order Methods: Formulations, Computational Aspects, Comparison with Other Methods
- A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes
- A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form
- The Effect of Quadrature Errors on Finite Element Approximations for Second Order Hyperbolic Equations
- New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling
- Hybrid High-Order Methods
- Finite Elements II
- Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem
- Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods
- Developing weak Galerkin finite element methods for the wave equation
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- Discontinuous Galerkin Finite Element Method for the Wave Equation
- Time-explicit hybrid high-order method for the nonlinear acoustic wave equation
This page was built for publication: Convergence analysis for the wave equation discretized with hybrid methods in space (HHO, HDG and WG) and the leapfrog scheme in time
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6608078)