Error control for statistical solutions of hyperbolic systems of conservation laws
DOI10.1007/s10092-021-00417-6zbMath1503.65227OpenAlexW3158980235WikidataQ115606194 ScholiaQ115606194MaRDI QIDQ2044085
Christian Rohde, Fabian Meyer, Jan Giesselmann
Publication date: 4 August 2021
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-021-00417-6
discontinuous Galerkin methodhyperbolic conservation lawsa posteriori error estimatesstatistical solutions
Order statistics; empirical distribution functions (62G30) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Euler equations (35Q31)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On admissibility criteria for weak solutions of the Euler equations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Statistical solutions of hyperbolic conservation laws: foundations
- Residual error indicators for discontinuous Galerkin schemes for discontinuous solutions to systems of conservation laws
- Measure-valued solutions to conservation laws
- The unique limit of the Glimm scheme
- A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws
- Explicit discontinuous Galerkin methods for unsteady problems
- Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws
- A counterexample to well-posedness of entropy solutions to the compressible Euler system
- Euler equation existence, non-uniqueness and mesh converged statistics
- Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
- A Posteriori Error Estimate for Front-Tracking: Systems of Conservation Laws
- Numerical Approximation of Statistical Solutions of Scalar Conservation Laws
- Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation
- A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method
- A Posteriori Analysis of Discontinuous Galerkin Schemes for Systems of Hyperbolic Conservation Laws
- Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations
- Space and time reconstructions in a posteriori analysis of evolution problems
- A Posteriori Analysis of Fully Discrete Method of Lines Discontinuous Galerkin Schemes for Systems of Conservation Laws
- Solutions in the large for nonlinear hyperbolic systems of equations
- 𝒦-convergence as a new tool in numerical analysis
- Hyperbolic Conservation Laws in Continuum Physics
This page was built for publication: Error control for statistical solutions of hyperbolic systems of conservation laws
