A hybrid-mesh hybridizable discontinuous Galerkin method for solving the time-harmonic Maxwell's equations

A hybrid-mesh hybridizable discontinuous Galerkin method for solving the time-harmonic Maxwell's equations
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DOI：
10.1016/j.aml.2016.12.018
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发表时间：
2017-06
期刊：
Appl. Math. Lett.
影响因子：
--
通讯作者：
Lan Zhu;Tingzhu Huang;Liang Li
Lan Zhu;Tingzhu Huang;Liang Li
中科院分区：
其他
文献类型：
--
作者：
Lan Zhu;Tingzhu Huang;Liang Li

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提出了一种基于混合网格的高阶可杂化不连续伽辽金（HDG）方法来求解二维时谐麦克斯韦方程组。混合网格由复杂几何区域的非结构化三角形网格和其余区域的结构化四边形网格组成。不同网格的耦合在HDG框架中是很自然的。数值仿真结果表明，混合网格上的HDG方法收敛速度较优。采用混合网格可以减少自由度，从而节省计算成本。
This work presents a high-order hybridizable discontinuous Galerkin (HDG) method based on hybrid mesh to solve the two-dimensional time-harmonic Maxwell’s equations. The hybrid mesh consists of unstructured triangular mesh in the domain with complex geometries and structured quadrilateral mesh in the rest domain. The coupling of different meshes is natural in HDG framework. Numerical simulations show that the HDG method on hybrid mesh converges at the optimal rate. One can save computation costs by employing hybrid mesh due to the reduction in number of degrees of freedom (DOFs).