Kuramoto-Tsuzuki方程一阶线性向后欧拉有限元方法的最优误差估计  

Optimal Error Estimates of a First-order Linearized Backward Euler FEM for the Kuramoto-Tsuzuki Equations

作　　者：崔雪微 CUI Xuewei(College of Mathematics and Physics,Wenzhou University,Wenzhou,China 325035)

机构地区：[1]温州大学数理学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2022年第1期17-24,共8页Journal of Wenzhou University(Natural Science Edition)

摘　　要：对于高维非线性Kuramoto-Tsuzuki方程,给出了一阶向后欧拉有限元全离散格式,并对非线性项采用半隐格式,从理论上证明了离散解的稳定性以及离散解与精确解的无条件最优误差估计.For the high-dimensional nonlinear Kuramo-Tsuzuki equations,a first-order backward Euler finite factor is given in a fully discrete format.The semi-hidden format of nonlinear terms is used,which theoretically proves the stability of discrete solution and the unconditional optimal error estimates of discrete solution and precise solution.

关 键 词：一阶线性向后欧拉有限元方法 无条件最优化误差估计 Kuramoto-Tsuzuki方程 高维非线性问题 

分 类 号：O241.82[理学—计算数学]