A High Order Stable Conservative Method for Solving Hyperbolic Conservation Laws on Arbitrarily Distributed Point Clouds
From MaRDI portal
Publication:2827041
DOI10.1137/16M1060583zbMath1351.65075MaRDI QIDQ2827041
Publication date: 12 October 2016
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
algorithmconservation lawshigh ordergas dynamicsEuler systemdiscontinuous Galerkinnumerical resultarbitrarily distributed point cloud
Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
- A sweepline algorithm for Voronoi diagrams
- 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
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- The partition of unity finite element method: basic theory and applications
- Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
- Local radial basis function collocation method along with explicit time stepping for hyperbolic partial differential equations
- A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework
- Analysis of semi-implicit DGFEM for nonlinear convection-diffusion problems on nonconforming meshes
- Analysis of the discontinuous Galerkin method for nonlinear convection--diffusion problems
- Meshless techniques for convection dominated problems
- A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes
- Solutions of multi-dimensional hyperbolic systems of conservation laws by square entropy condition satisfying discontinuous Galerkin method
- Strong Stability-Preserving High-Order Time Discretization Methods
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
- Total-Variation-Diminishing Time Discretizations
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- Surfaces Generated by Moving Least Squares Methods
- On a Cell Entropy Inequality for Discontinuous Galerkin Methods
- Total variation diminishing Runge-Kutta schemes
- Survey of meshless and generalized finite element methods: A unified approach
- Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws
- Centroidal Voronoi Tessellations: Applications and Algorithms
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws
- Error Estimates to Smooth Solutions of Runge–Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws
