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作者:Hao Li , Xiangxiong Zhang
来源:[J].Journal of Scientific Computing(IF 1.71), 2019, Vol.82 (1), pp.447-453Springer
摘要:Abstract(#br)We prove that the superconvergence of C 0 \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$...
作者:Sashank Srinivasan , Jonathan Poggie , Xiangxiong Zhang
来源:[J].Journal of Computational Physics(IF 2.138), 2018, Vol.366, pp.120-143Elsevier
摘要:Abstract(#br)For constructing high order accurate positivity-preserving schemes for convection–diffusion equations, we construct a simple positivity-preserving diffusion flux. Discontinuous Galerkin (DG) schemes with such a positivity-preserving diffusion flux are nonlinear ...
作者:Xiangxiong Zhang
来源:[J].Journal of Computational Physics(IF 2.138), 2016, Vol.308, pp.153-170Elsevier
摘要:Abstract(#br)For problems defined in a two-dimensional domain Ω with boundary conditions specified on a curve Γ, we consider discontinuous Galerkin (DG) schemes with high order polynomial basis functions on a geometry fitting triangular mesh. It is well known that directly i...
作者:Xiangxiong Zhang , Chi-Wang Shu
来源:[J].Journal of Computational Physics(IF 2.138), 2009, Vol.229 (9), pp.3091-3120Elsevier
摘要:Abstract(#br)We construct uniformly high order accurate schemes satisfying a strict maximum principle for scalar conservation laws. A general framework (for arbitrary order of accuracy) is established to construct a limiter for finite volume schemes (e.g. essentially non-oscillat...
作者:Yifan Zhang , Xiangxiong Zhang , Chi-Wang Shu
来源:[J].Journal of Computational Physics(IF 2.138), 2013, Vol.234, pp.295-316Elsevier
摘要:Abstract(#br)We propose second order accurate discontinuous Galerkin (DG) schemes which satisfy a strict maximum principle for general nonlinear convection–diffusion equations on unstructured triangular meshes. Motivated by genuinely high order maximum-principle-satisfying D...
作者:Xiangxiong Zhang , Chi-Wang Shu
来源:[J].Journal of Computational Physics(IF 2.138), 2011, Vol.231 (2), pp.653-665Elsevier
摘要:Abstract(#br)One of the main challenges in computational simulations of gas detonation propagation is that negative density or negative pressure may emerge during the time evolution, which will cause blow-ups. Therefore, schemes with provable positivity-preserving of density...
作者:Jiawei Zhou , Xiangxiong Zhang , Min Chen
来源:[J].International Heat Transfer Conference 15, 2014, pp.5677-5684Begell House
摘要:In this paper, we identify the influence of surface charge on the freezing behavior of water, therefore providing the possibility of applying electric field to control the freezing process. Using the molecular dynamics simulation method, we construct an unconfined system of water...

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