摘要
利用张量积分解和时间方向单元正交分解,证明了线性抛物型方程的时间连续全离散有限元在单元节点和内部的特征点的超收敛性.并用连续有限元计算了非线性Schrodinger方程,验证了能量的守恒性.计算结果与理论相吻合.
The paper based on tensor product and orthogonal expand in the element proves super convergence of time continuous fully discrete finite element for parabolic equation at nodes and inter characteristic points.And we use continuous finite element in time fully discrete scheme to solve nonlinear Schrodinger equation,vertify finite element solution have energy integeration conservation.
出处
《应用数学》
CSCD
北大核心
2005年第3期424-431,共8页
Mathematica Applicata
基金
国家973项目(G1999032804)
