一类抛物方程的分裂型最小二乘混合元方法

对二阶抛物方程提出了Euler型分裂的最小二乘混合元格式,该格式最大的优点是将耦合的方程组系统分裂成为2个独立的子系统进行求解,从而在很大程度上降低了原问题的求解难度和规模,并通过引入适当的最小二乘泛函,得到原未知量的最优阶L2(Ω)模误差估计。

Two Splitting Least-squares Mixed Element Methods for a Class of Parabolic Equations

Two splitting least-squares mixed element methods are proposed to simulate a class of second-order parabolic equations.The advantage of this methods is that the coupled system can be split into two independent sub-systems and then reduce the difficulty and scale of primal problems.Theoretical analysis shows that the methods yield the approximate solutions for the primal problems with optimal accuracy in L2(Ω) norm.