%0 Journal Article
%T 非对称不定椭圆方程的两网格内罚间断有限元方法<br>Two-Grid IPDG Method for Non-Symmetric Indefinite Elliptic Equations
%A 钟柳强
%A 李莹
%A 刘春梅   &lt
%A br&gt
%A ZHONG Liuqiang
%A LI Ying
%A LIU Chunmei
%J 华南师范大学学报（自然科学版）
%D 2016
%R 10.6054/j.jscnun.2016.03.026
%X 针对一类非对称或不定椭圆方程的内罚间断有限元方法,设计和分析了相应的两网格求解算法.首先给出了内罚间断有限元解的适定性,及其在L2和间断H1范数下的先验估计;其次设计了相应的两网格求解算法,并给出算法的误差分析;最后,数值实验结果验证了算法的高效性.<br>： A two-grid interior penalty discontious Galkerkin (IPDG) method for non-symmetric indefinite elliptic equations is proposed. Firstly, the well-posedness of IPDG method and the optimal error estimates in both L2 norm and discontinuous H1 norm are proved. Then, the corresponding two-grid method is designed and the error estimate of the algorithm is provided. At last, the efficiency of the algorithm is validated by numerical experiments
%K 非对称不定椭圆方程
%K 内罚间断有限元方法
%K 两网格方法
%K 误差估计
%K &lt
%K br&gt
%K non-symmetric indefinite elliptic equation
%K interior penalty discontious Galkerkin method
%K two-grid method
%K error estimates
%U http://journal.scnu.edu.cn:8080/jwk_xbzrb/CN/abstract/abstract3884.shtml