Dispersion Analysis of HDG Methods
Dispersion Analysis of HDG Methods
复制标题
HDG 方法的色散分析
DOI：
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发表时间：
2018
影响因子：
2.5
通讯作者：
Felipe Vargas
中科院分区：
文献类型：
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作者：
Jay Gopalakrishnan;Manuel E. Solano;Felipe Vargas
本文对混合不连续Galerkin(HDG)方法进行了色散分析。考虑亥姆霍兹系统，我们量化了精确波数和离散波数之间的差异。特别地，我们得到了最低阶单面HDG(SFH)方法波数误差的解析展开式。结果表明，SFH方法的波数误差收敛速度与混合混合Raviart-Thomas方法相当。此外，我们还在数值实验中观察到了高阶情况下的相同行为。
This work presents a dispersion analysis of the Hybrid Discontinuous Galerkin (HDG) method. Considering the Helmholtz system, we quantify the discrepancies between the exact and discrete wavenumbers. In particular, we obtain an analytic expansion for the wavenumber error for the lowest order Single Face HDG (SFH) method. The expansion shows that the SFH method exhibits convergence rates of the wavenumber errors comparable to that of the mixed hybrid Raviart–Thomas method. In addition, we observe the same behavior for the higher order cases in numerical experiments.