有限元法
趋同(经济学)
计算机科学
自由度(物理和化学)
自适应网格优化
特征向量
数学优化
点(几何)
算法
计算科学
数学
几何学
物理
热力学
经济
量子力学
经济增长
作者
Haoxiang Wu,Kejie Fu,Sheng Zuo,Zhongchao Lin,Xun-Wang Zhao,Yu Zhang
标识
DOI:10.1109/tap.2023.3283040
摘要
A goal-oriented adaptive frequency domain finite element method for solving electromagnetic radiation problems including complex structures is presented in this paper. Compared with the traditional adaptive finite element method, the goal-oriented method can flexibly control the refined regions according to the parameters of interest; therefore it has better convergence and has made significant progress in scattering problems and eigenvalue problems. To simulate complex antennas, this paper proposes an error indicator with high accuracy and low computational cost, and it uses the adjoint problem to weight element residuals without additional degrees of freedom. Moreover, high-quality mesh refinement algorithms adapted to this indicator are developed using a suitable point insertion strategy for multiscale structures. By simulating two practical antennas, comparisons with the traditional goal-oriented FEM and the well-developed h -adaptive finite element method in commercial software demonstrate the accuracy and efficiency of the proposed method.
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