Hybridizable discontinuous Galerkin reduced order model for the variable coefficient advection equation
DOI10.1007/s40314-023-02396-6OpenAlexW4385253463MaRDI QIDQ6095374
Ying Ye, Lingzhi Qian, Jing Wang, Danchen Zhu
Publication date: 8 September 2023
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-023-02396-6
proper orthogonal decompositiondiagonally implicit Runge-Kutta schemehybridizable discontinuous Galerkinvariable coefficient advection equation
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Unnamed Item
- A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations
- Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
- 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
- FESTUNG: a MATLAB/GNU octave toolbox for the discontinuous Galerkin method. II: Advection operator and slope limiting
- High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
- Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations
- 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
- Energy balance and mass conservation in reduced-order models of fluid flows
- A reduced-order DG formulation based on POD method for the time-domain Maxwell's equations in dispersive media
- A hybridizable discontinuous Galerkin method for the Navier-Stokes equations with pointwise divergence-free velocity field
- FESTUNG: a MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. III: Hybridized discontinuous Galerkin (HDG) formulation
- High-order Runge-Kutta discontinuous Galerkin methods with multi-resolution WENO limiters for solving steady-state problems
- Positivity-preserving well-balanced arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the shallow water equations
- Negative norm estimates for arbitrary Lagrangian-Eulerian discontinuous Galerkin method for nonlinear hyperbolic equations
- Weighted ghost fluid discontinuous Galerkin method for two-medium problems
- The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows
- A hybridizable discontinuous Galerkin method for electromagnetics with a view on subsurface applications
- POD-(H)DG method for incompressible flow simulations
- HDG-POD reduced order model of the heat equation
- Reduced-order finite difference extrapolation model based on proper orthogonal decomposition for two-dimensional shallow water equations including sediment concentration
- A hybrid mixed method for the compressible Navier-Stokes equations
- A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems
- Analysis of HDG methods for Stokes flow
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- High-Resolution Conservative Algorithms for Advection in Incompressible Flow
- hp analysis of a hybrid DG method for Stokes flow
- A local discontinuous Galerkin method for nonlinear parabolic SPDEs
- Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system
- Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations
- Reduced Basis Methods for Partial Differential Equations
- Reduced-order adaptive controllers for fluid flows using POD
- Galerkin proper orthogonal decomposition methods for parabolic problems
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