A filtering monotonization approach for DG discretizations of hyperbolic problems
DOI10.1016/j.camwa.2022.11.017OpenAlexW4310927800MaRDI QIDQ2679349
Publication date: 19 January 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.08693
conservation lawsdiscontinuous Galerkin methodfiltering methodsmonotone schemesstrong stability preserving methods
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)
Uses Software
Cites Work
- Unnamed Item
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes
- Filtered schemes for Hamilton-Jacobi equations: a simple construction of convergent accurate difference schemes
- Fully multidimensional flux-corrected transport algorithms for fluids
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- Flux correction tools for finite elements
- Space-time adaptive ADER discontinuous Galerkin finite element schemes with \textit{a posteriori} sub-cell finite volume limiting
- High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
- A semi-Lagrangian discontinuous Galerkin method for scalar advection by incompressible flows
- The \texttt{deal.II} library, version 9.4
- Strong Stability-Preserving High-Order Time Discretization Methods
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- An Efficient Filtered Scheme for Some First Order Time-Dependent Hamilton--Jacobi Equations
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- deal.II—A general-purpose object-oriented finite element library
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Total variation diminishing Runge-Kutta schemes
- High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD
- Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
- High-Resolution Conservative Algorithms for Advection in Incompressible Flow
- Convergent Filtered Schemes for the Monge--Ampère Partial Differential Equation
- An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases
- A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
- Spectral/hp Element Methods for Computational Fluid Dynamics
