An explicit weak Galerkin method for solving the first order hyperbolic systems
DOI10.1016/j.cam.2022.114311zbMath1486.65270OpenAlexW4223536298WikidataQ115580980 ScholiaQ115580980MaRDI QIDQ2141599
Publication date: 25 May 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114311
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- A modified weak Galerkin finite element method for the Stokes equations
- A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order
- A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media
- Finite element methods for linear hyperbolic problems
- A weak finite element method for elliptic problems in one space dimension
- A stable weak Galerkin finite element method for Stokes problem
- A robust WG finite element method for convection-diffusion-reaction equations
- The weak Galerkin finite element method for the transport-reaction equation
- The weak Galerkin finite element method for incompressible flow
- Finite element methods for symmetric hyperbolic equations
- A weak Galerkin finite element method for second-order elliptic problems
- An analysis of a weak Galerkin finite element method for stationary Navier-Stokes problems
- The weak Galerkin finite element method for the symmetric hyperbolic systems
- A weak Galerkin finite element method for the Oseen equations
- A computational study of the weak Galerkin method for second-order elliptic equations
- An upwind-like discontinuous Galerkin method for hyperbolic systems
- A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods
- A modified weak Galerkin finite element method for a class of parabolic problems
- A weak Galerkin mixed finite element method for second order elliptic problems
- Symmetric positive linear differential equations
- A Stable Finite Element Method for Initial-Boundary Value Problems for First-Order Hyperbolic Systems
- Explicit Finite Element Methods for Symmetric Hyperbolic Equations
- Discontinuous Galerkin Methods for Friedrichs’ Systems. Part II. Second‐order Elliptic PDEs
- Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory
- A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems
- A weak Galerkin finite element method for the Stokes equations
This page was built for publication: An explicit weak Galerkin method for solving the first order hyperbolic systems