报告摘要：

We first develop an adaptive edge finite element method based on reliable and efficient residual-based {\em a posteriori} error estimates for time-harmonic Maxwell's equations with singularities. The resultant discrete problem is solved by the multigrid preconditioned minimum residual iteration algorithm. We demonstrate the efficiency and robustness of the proposed method by extensive numerical experiments for cavity problems with singular solutions which includes, in particular, scattering over screens. We next consider an adaptive PML technique for the electromagnetric scattering problems which generalizes our previous studies for the 2D Helmholtz scattering problems. The proposed adaptive PML technique together with the adaptive edge finite element method developed in the first part of the talk provides a complete adaptive method for the electromagnetric scattering problems which has the desirable property of quasi-optimality in terms of the error decay. This talk is based on joint works with Junqing Chen, Long Wang and Weiying Zheng.

报告时间： 2005年12月22日(周四) 下午4:00--5:00

报告地点：科技综合楼三层311报告厅