A Generalization of a Troubled-Cell Indicator to $h$-Adaptive Meshes for Discontinuous Galerkin Methods
From MaRDI portal
Publication:5156991
DOI10.4208/aamm.OA-2019-0149zbMath1488.65492OpenAlexW3044479317MaRDI QIDQ5156991
Haijin Wang, Hongqiang Zhu, Wenxiu Han
Publication date: 12 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/aamm.oa-2019-0149
KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hyperbolic conservation laws (35L65) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Euler equations (35Q31)
Related Items
Troubled-cell indication using K-means clustering with unified parameters ⋮ A New Troubled-Cell Indicator for Discontinuous Galerkin Methods Using K-Means Clustering ⋮ Three Indication Variables and Their Performance for the Troubled-Cell Indicator using K-Means Clustering
Cites Work
- Multiwavelet troubled-cell indicator for discontinuity detection of discontinuous Galerkin schemes
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- An \(h\)-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws
- Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations
- An \(h\)-adaptive RKDG method with troubled-cell indicator for one-dimensional detonation wave simulations
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws
- An \(h\)-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations
- ENO schemes with subcell resolution
- A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Parallel, adaptive finite element methods for conservation laws
- Accurate monotonicity-preserving schemes with Runge-Kutta time stepping
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on three-dimensional hybrid grids
- Enhanced robustness of the hybrid compact-WENO finite difference scheme for hyperbolic conservation laws with multi-resolution analysis and Tukey's boxplot method
- An \(h\)-adaptive RKDG method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model
- Parallel adaptive \(hp\)-refinement techniques for conservation laws
- An \(h\)-adaptive RKDG method for the Vlasov-Poisson system
- An artificial neural network as a troubled-cell indicator
- Automated Parameters for Troubled-Cell Indicators Using Outlier Detection
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- TVB Uniformly High-Order Schemes for Conservation Laws
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems
- Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- An <em>h</em>-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations
- An h-Adaptive RKDG Method for Two-Dimensional Detonation Wave Simulations
- Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter on Unstructured Meshes
- Error Control for a Class of Runge–Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws
- A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters
- A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
- Simple modifications of monotonicity-preserving limiters
