In this paper, we propose a novel discontinuous Galerkin (DG) method to control the spurious oscillations when solving the scalar hyperbolic conservation laws.
In this paper, we propose a novel discontinuous Galerkin (DG) method to con- trol the spurious oscillations when solving the scalar hyperbolic conservation laws ...
... In this paper, we develop an oscillation-free discontinuous Galerkin (OFDG) method for systems of hyperbolic conservation laws. Based on the standard ...
Apr 16, 2021 · AN OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR SCALAR HYPERBOLIC CONSERVATION LAWS. April 2021. Authors: Jianfang Lu.
In this paper, we construct a high order entropy stable oscillation-free DG (ESOFDG) method for hyperbolic conservation laws. With some suitable modification on ...
In this paper, we develop an essentially oscillation-free discontinuous Galerkin method for systems of hyperbolic conservation laws.
Jul 30, 2024 · Abstract. Suppressing spurious oscillations is crucial for designing reliable high-order numerical schemes for hyperbolic conservation laws, ...
People also ask
What is the hyperbolic equation for the conservation law?
What is the difference between finite element and discontinuous Galerkin?
What is the hyperbolic system of conservation laws?
What is the discretized Galerkin method?
Y. Liu, J. Lu, and C.-W. Shu, An essentially oscillation-free discontinuous Galerkin method for hyperbolic systems , SIAM Journal on Scientific Computing, v44 ( ...
Feb 24, 2023 · Abstract. In this paper, an oscillation-free spectral volume (OFSV) method is proposed and studied for the hyperbolic conservation laws.
Feb 1, 2024 · This paper proposes a hybrid limiter in discontinuous Galerkin (DG) methods for hyperbolic conservation laws. This hybrid limiter combines ...