时谐涡流模型经有限元离散可产生一类大规模稀疏线性代数方程组。这类线性代数方程组的稀疏矩阵为复的鞍点矩阵。
对于这类问题， 我们构造了一类块交替分裂隐式迭代算法，建立了算法的收敛理论，并用实例检验了算法的可行性、
准确性和有效性。
对于线性微分代数方程组，给出了波形松弛方法收敛的新型判定准则
2012年正式发表的论文如下:
- Block alternating splitting implicit iteration methods
for saddle-point problems from time-harmonic eddy current models,
Numerical Linear Algebra with Applications,
19:6(2012), 914-936.
- On convergence of the inner-outer iteration method
for computing PageRank,
Numerical Algebra, Control and Optimization,
2:4(2012), 855-862.
- Continuous-time accelerated block successive overrelaxation methods
for time-dependent Stokes equations,
Journal of Computational and Applied Mathematics,
236:13(2012), 3265-3285.
(With Xi Yang)