A direct discontinuous Galerkin method for a high order nonlocal conservation law

DOI10.1016/j.camwa.2023.03.022OpenAlexW4362512377MaRDI QIDQ6103624

Afaf Bouharguane, Nour El Houda Seloula

Publication date: 5 June 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.03.022

zbMATH Keywords

stabilitydiscontinuous Galerkin methoderror estimateconvection-diffusionnumerical simulationspseudo-differential operator

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Simultaneous denoising and enhancement of signals by a fractal conservation law
• Discontinuous Galerkin method for the solution of a transport level-set problem
• A non-monotone nonlocal conservation law for dune morphodynamics
• The discontinuous Galerkin method for fractional degenerate convection-diffusion equations
• A high-order nodal discontinuous Galerkin method for a linearized fractional Cahn-Hilliard equation
• A note on the finite element method for the space-fractional advection diffusion equation
• Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• Local discontinuous Galerkin method for distributed-order time and space-fractional convection-diffusion and Schrödinger-type equations
• Finite difference approximations for fractional advection-dispersion flow equations
• Efficient numerical schemes for fractional water wave models
• The local discontinuous Galerkin method for convection-diffusion-fractional anti-diffusion equations
• Finite element method for a space-fractional anti-diffusive equation
• Well-posedness of a conservation law with non-local flux arising in traffic flow modeling
• On nonlocal conservation laws modelling sedimentation
• The discontinuous Galerkin method for fractal conservation laws
• A numerical method for fractal conservation laws
• Optimal Control with State-Space Constraint. II
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• High-Order Numerical Schemes for One-Dimensional Nonlocal Conservation Laws
• Dunes and Drumlins
• Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations
• Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach
• Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations
• Discontinuous Galerkin Method
• Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
• The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
• Local Discontinuous Galerkin methods for fractional diffusion equations
• Splitting methods for the nonlocal Fowler equation
• Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations
• A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives
• Fast Numerical Solution of Parabolic Integrodifferential Equations with Applications in Finance
• Error Estimates to Smooth Solutions of Runge–Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws

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