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一类随机非自伴波方程的半离散有限元近似

本站小编 Free考研考试/2021-12-27

李晓翠1, 杨小远1, 张英晗2
1. 北京航空航天大学数学与系统科学学院, 北京 100191;
2. 北京科技大学数理学院, 北京 100083
收稿日期:2015-12-30出版日期:2017-02-15发布日期:2017-02-17


基金资助:国家自然科学基金(61271010),北京市自然科学基金(4152029)资助项目.


SEMIDISCRETE FINITE ELEMENT APPROXIMATION OF STOCHASTIC NONSELFADJOINT WAVE EQUATION

Li Xiaocui1, Yang Xiaoyuan1, Zhang Yinghan2
1. Department of Mathematics, Beihang University, LMIB of the Ministry of Education, Beijing 100191, China;
2. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
Received:2015-12-30Online:2017-02-15Published:2017-02-17







摘要



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本文研究了由白噪音驱动的随机非自伴波方程的有限元近似,由于线性算子A非自伴,不能应用A的特征值和特征向量,从而得到的结果更具有一般性.空间离散上采用标准的有限元法,并借助强连续算子函数的性质,得到了该方程的强收敛误差估计.本文方法也适用于多维情况的分析.最后用数值算例验证了理论分析的正确性.
MR(2010)主题分类:
65M60
60H15
60H35
65C30

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