L
Liwei Xu
Researcher at University of Electronic Science and Technology of China
Publications - 73
Citations - 1092
Liwei Xu is an academic researcher from University of Electronic Science and Technology of China. The author has contributed to research in topics: Discontinuous Galerkin method & Finite element method. The author has an hindex of 16, co-authored 67 publications receiving 836 citations. Previous affiliations of Liwei Xu include Rensselaer Polytechnic Institute & University of Delaware.
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Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
TL;DR: Central discontinuous Galerkin methods are developed for solving ideal magnetohydrodynamic (MHD) equations, and the numerical magnetic field is exactly divergence-free, desired in reliable simulations of MHD equations.
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Positivity-preserving DG and central DG methods for ideal MHD equations
TL;DR: In one dimension, the positivity-preserving property is established for both methods under a reasonable assumption, and the performance of the proposed methods, in terms of accuracy, stability andPositivity- Preserving property, is demonstrated through a set of one and two dimensional numerical experiments.
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Numerical simulation of three-dimensional nonlinear water waves
Liwei Xu,Philippe Guyenne +1 more
TL;DR: The development and implementation of a symplectic implicit scheme for the time integration of the Hamiltonian equations of motion, as well as detailed numerical tests on the convergence of the Dirichlet-Neumann operator are implemented.
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Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations
Fengyan Li,Liwei Xu +1 more
TL;DR: The novelty here is that the well-established H(div)-conforming finite element spaces are used in the constrained transport type framework, and the magnetic induction equations are extensively explored in order to extract sufficient information to uniquely reconstruct an exactly divergence-free magnetic field.
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High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model
TL;DR: A one-dimensional fully nonlinear weakly dispersive Green-Naghdi model for shallow water waves over variable bottom topographies is considered and a family of high order numerical methods which discretize the balance laws with well-balanced central discontinuous Galerkin methods and the elliptic part with continuous finite element methods are proposed.