摘要
基于Sobolev方程的H^(1)-Galerkin混合有限元分裂格式的矩阵形式,利用特征正交分解技术,建立一种降维模型,并用矩阵分析法证明了降维格式的收敛性。最后,通过数值算例验证了理论分析的正确性和降维模型的可行性和有效性。
A reduced-order numerical model is established based on matrix form of the H^(1)-Galerkin mixed finite element splitting format of one-dimensional Sobolev equation and the proper orthogonal decomposition technique.The convergence of the reduced-order format is proved by matrix analysis.Finally,the correctness of the theoretical analysis and the feasibility and validity of the reduced-order model are verified by some numerical examples.
作者
王懿晖
何斯日古楞
张婷
WANG Yihui;HE Siriguleng;ZHANG Ting(School of Mathematical Sciences,Inner Mongolia University,Hohhot O10021,China;Hohhot Minzu College,Hohhot 010051,China)
出处
《内蒙古大学学报（自然科学版）》
CAS
北大核心
2022年第5期462-467,共6页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金(12161034)
呼和浩特民族学院科研创新建设计划项目资助。
