1. An hp-Adaptive Scheme of Discontinuous Galerkin Time-Domain Method With Fast Error Estimation.
- Author
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Shi, Yan, Wang, Peng, Zhu, Shi Chen, Li, Shuai Peng, and Ban, Zhen Guo
- Subjects
GALERKIN methods ,TRANSIENT analysis ,TIME-domain analysis ,MOMENTS method (Statistics) - Abstract
In this article, a highly efficient hp -adaptive scheme has been developed for the discontinuous Galerkin time-domain (DGTD) method. In order to achieve the ${h}$ - and ${p}$ -adaptive behaviors, a hierarchical octree-based recursive meshing procedure has been introduced. In the hp -adaptive scheme, the transformation method of the basis function is developed to convert the fields between the parent element and the child elements and between the higher- and the lower-order bases. Instead of the time-consuming field update process according to the governing equations, the error based on modified reference solutions can be rapidly and accurately calculated in the ${h}$ - and ${p}$ -adaptions by using the proposed transformation, thus flexibly manipulating the hp -adaptive procedure. Some 3-D radiation and scattering examples are given to demonstrate the good accuracy and high efficiency of the proposed hp -adaptive DGTD method. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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