On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection-diffusion equations
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Publication:2020549
DOI10.1016/j.cam.2021.113487zbMath1468.65188OpenAlexW3130257604MaRDI QIDQ2020549
Publication date: 23 April 2021
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.2021.113487
slope limitersdiscontinuous Galerkin finite element methodconvection-dominated regimepost-processing approachesreduction of spurious oscillationssteady-state convection-diffusion equations
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Transport equations (35Q49)
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Cites Work
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- Finite element methods for linear hyperbolic problems
- Mathematical aspects of discontinuous Galerkin methods.
- A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I
- An assessment of discretizations for convection-dominated convection-diffusion equations
- \(hp\)-discontinuous Galerkin method based on local higher order reconstruction
- On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
- A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- A multilevel discontinuous Galerkin method
- On discrete maximum principles for discontinuous Galerkin methods
- On some aspects of the discontinuous Galerkin finite element method for conservation laws
- Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes
- A parameter-free dynamic diffusion method for advection-diffusion-reaction problems
- A unified analysis of algebraic flux correction schemes for convection-diffusion equations
- On error indicators for optimizing parameters in stabilized methods
- ParMooN -- a modernized program package based on mapped finite elements
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
- Preconditioning Methods for Local Discontinuous Galerkin Discretizations
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- Discontinuous Galerkin Method
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- The Mathematical Theory of Finite Element Methods
- Algorithm 832
- Analysis of a Multiscale Discontinuous Galerkin Method for Convection‐Diffusion Problems
- A singularly perturbed model problem for numerical computation
- Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?
