Kinetic approximation of a boundary value problem for conservation laws
From MaRDI portal
Publication:1889896
DOI10.1007/s00211-003-0514-5zbMath1059.65090OpenAlexW1974303294MaRDI QIDQ1889896
Denise Aregba-Driollet, Vuk Milišić
Publication date: 13 December 2004
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-003-0514-5
Hyperbolic conservation laws (35L65) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
High-order relaxation approaches for adjoint-based optimal control problems governed by nonlinear hyperbolic systems of conservation laws, A discrete BGK approximation for strongly degenerate parabolic problems with boundary conditions, Kinetic layers and coupling conditions for nonlinear scalar equations on networks, Nonlinear Hyperbolic Systems of Conservation Laws and Related Applications, Stable Second Order Boundary Conditions for Kinetic Approximations, A fluid-dynamic traffic model on road networks, Numerical algorithms for simulations of a traffic model on road networks, A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Initial-boundary value problems for nonlinear systems of conservation laws
- Convergence of approximate solutions to conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Hyperbolic conservation laws with relaxation
- Boundary conditions for nonlinear hyperbolic systems of conservation laws
- Initial-boundary value problems for gas dynamics
- A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws
- Boundary conditions for scalar conservation laws from a kinetic point of view
- Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
- Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains
- Initial boundary value problem for conservation laws
- Weakly coupled systems of quasilinear boundary value problem with applications to semilinear elliptic equations
- Semi-linear and kinetic relaxation for systems of conservation laws
- Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation
- Convergence of relaxation schemes for initial boundary value problems for conservation laws
- The initial boundary value problems for hyperbolic conservation laws with relaxation
- Convergence of the relaxation approximation to a scalar nonlinear hyperbolic equation arising in chromatography
- CONVERGENCE OF A RELAXATION APPROXIMATION TO A BOUNDARY VALUE PROBLEM FOR CONSERVATION LAWS
- TIME-ASYMPTOTIC STABILITY OF BOUNDARY-LAYERS FOR A HYPERBOLIC RELAXATION SYSTEM
- Boltzmann Type Schemes for Gas Dynamics and the Entropy Property
- First order quasilinear equations with boundary conditions
- On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Monotone Difference Approximations for Scalar Conservation Laws
- Convergence of a streamline diffusion finite element method for scalar conservation laws with boundary conditions
- Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
- Convergence Results for Some Conservation Laws with a Reflux Boundary Condition and a Relaxation Term Arising in Chemical Engineering
- Asymptotic limit of initial boundary value problems for conservation laws with relaxational extensions
- Un schéma non linéaire anti-dissipatif pour l'équation d'advection linéaire
- Boundary conditions for hyperbolic systems with stiff source terms
- Conditions aux limites pour un système strictement hyperbolique fournies, par le schéma de Godunov
- Discrete Kinetic Schemes for Multidimensional Systems of Conservation Laws
- A MUSCL method satisfying all the numerical entropy inequalities
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- Convergence of the Finite Volume Method for Multidimensional Conservation Laws
- Numerical Viscosity and Convergence of Finite Volume Methods for Conservation Laws with Boundary Conditions
- Initial boundary value problems for hyperbolic systems
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
