“…Domain decomposition methods allow the reduction of the sizes of problems by decomposing domain into smaller ones on which the problems can be solved by multiple computers in parallel (see [9,13,18,23,24,29], etc). The splitting technique is another attractive and popular technique to reduce high-dimensional problems to a series of one-dimensional problems at each time step for saving the memory and CPU time (see [11,30,31] and some recent works [4,5,7,8,12,19,20,28], etc). Since non-overlapping methods have low computation and communication cost for each time step, they are preferable for large scale problems on massively parallel machines.…”