An improved error estimate for Maxwell%26apos;s equations with a power-law nonlinear conductivity

作者：Kang Tong; Wang Yanfang; Wu Liyun; Kim Kwang Ik

来源：Applied Mathematics Letters, 2015, 45: 93-97.

DOI：10.1016/j.aml.2015.01.017

• Nonlinear Maxwell's equations
• Backward Euler
• Edge elements
• Error estimate

In this work we investigate a fully discrete finite element method for Maxwell's equations with a power-law nonlinear conductivity and prove an improved error estimate with O(tau + h(min{1,alpha})) (alpha > 0) for both time and space discretization, which is a more accurate approximation than the suboptimal order estimate in [1].

• 出版日期2015-7
• 单位中国传媒大学