On a Sharp Estimate of Overlapping Schwarz Methods in $\mathrm{H}(\mathrm{curl};\Omega )$ and $\mathrm{H}(\mathrm{div};\Omega )$

Qigang Liang, Xuejun Xu, Shangyou Zhang

The previous proved-bound is $C(1+\frac{H^2}{{\delta }^2})$ for the condition number of the overlapping domain decomposition $\mathrm{H}(\mathrm{curl};\Omega )$ and $\mathrm{H}(\mathrm{div};\Omega )$…