混合形式时谐Maxwell方程组的不精确Uzawa算法  

An inexact uzawa algorithm for discretized time-harmonic maxwell equations in mixed form

作　　者：曾玉平[1] 李郴良[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2009年第6期522-524,共3页Journal of Guilin University of Electronic Technology

基　　金：广西科学研究与技术开发计划项目(桂科基0731018)

摘　　要：Maxwell方程组是电磁场的一组基本方程,研究其数值算法有重要意义。不精确Uzawa算法是求解鞍点问题的有效算法。针对混合形式时谐Maxwell方程组,采用有限元离散化成鞍点线性方程组,然后构造了一类求解该鞍点线性方程组的不精确Uzawa算法,并给出算法的收敛性证明。最后,与带参数不精确Uzawa算法比较,数值实验验证了不精确Uzawa算法的有效性。It is significant to study the numerical methods for Maxwell equations that are the basic equations in electromagnetic field. The inexact Uzawa algorithms are efficient methods for solving the saddle point system. Using finite element discretization for the time-harmonic Maxwell equations in mixed form to yield a saddle point linear system, we then established an inexact Uzawa algorithm for solving the saddle point linear system, and provided the convergence proof of algorithm. Finally, comparing the inexact Uzawa algorithm with Variable relaxation parameters, we presented numerical tests to illustrate the efficiency of the inexact Uzawa algorithm.

关 键 词：时谐Maxwell方程组 有限元方法 鞍点线性方程组 不精确Uzawa算法 

分 类 号：O241.82[理学—计算数学]