20 citations · 20 across the 6 of their papers we have counts for
6 papers · 1 filter
Runge--Kutta-Aligned Oscillation Elimination: Restoring Superconvergence for Fully Discrete Shock-Capturing DG Schemes
Manting Peng, Zhuoyun Li, Kailiang Wu
Nonlinear stabilization is indispensable for discontinuous Galerkin (DG) discretizations of hyperbolic conservation laws, yet it typically disrupts the delicate error structure req…
Hidden Accuracy and Superconvergence Analysis of Central Discontinuous Galerkin Methods on Overlapping Meshes
Manting Peng, Kailiang Wu
This paper establishes the first rigorous superconvergence theory for semidiscrete and fully discrete central discontinuous Galerkin (CDG) methods for linear hyperbolic equations o…
Constraint-Preserving High-Order Compact OEDG Method for Spherically Symmetric Einstein-Euler System
Yuchen Huang, Manting Peng, Kailiang Wu
Numerical simulation of the spherically symmetric Einstein--Euler (EE) system faces severe challenges due to the stringent physical admissibility constraints of relativistic fluids…
Oscillation-eliminating central DG schemes for hyperbolic conservation laws
Manting Peng, Kailiang Wu, Caiyou Yuan
This paper proposes and analyzes a class of essentially non-oscillatory central discontinuous Galerkin (CDG) methods for general hyperbolic conservation laws. First, we introduce a…
Robust Discontinuous Galerkin Methods Maintaining Physical Constraints for General Relativistic Hydrodynamics
Huihui Cao, Manting Peng, Kailiang Wu
Simulating general relativistic hydrodynamics (GRHD) presents challenges such as handling curved spacetime, achieving high-order shock-capturing accuracy, and preserving key physic…
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws
Manting Peng, Zheng Sun, Kailiang Wu
Controlling spurious oscillations is crucial for designing reliable numerical schemes for hyperbolic conservation laws. This paper proposes a novel, robust, and efficient oscillati…