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math.NA2011
Superconvergence of the - divergence-free finite element
Yunqing Huang, Shangyou Zhang
By the standard theory, the stable - divergence-free element converges with the optimal order of approximation for the Stokes equations, but only…
math.NA2011
On the optimal convergence rate of a Robin-Robin domain decomposition method
Wenbin Chen, Xuejun Xu, Shangyou Zhang
In this work, we solve a long-standing open problem: Is it true that the convergence rate of the Lions' Robin-Robin nonoverlapping domain decomposition(DD) method can be constant,…