A new and simple implementation of the element-local L-2-projected continuous finite element method

作者：Xue Yunhua; Duan Huoyuan; Zhang Qiang^*

来源：Applied Mathematics and Computation, 2014, 228: 170-183.

DOI：10.1016/j.amc.2013.11.096

• Element-local L-2-projection
• Continuous finite element method
• Electrostatic problem
• Maxwell's equations
• Maxwell's eigenvalues

In this paper we present a new and simple method, modified from the original element-local L-2-projected continuous finite element method, to resolve some static electromagnetic problems in two dimension. This numerical method is established on the least-square process to minimize the total error's energy, where the residual due to an additional element-local projection is considered. Many numerical experiments are presented for the electrostatic problem, the Maxwell's equations and the Maxwell's eigenvalue problem, and the numerical performances are excellent with the optimal convergence orders even for the non-H-1 solution.

• 出版日期2014-2-1
• 单位南开大学; 南京大学