Energy law preserving continuous finite element schemes for a gas metal arc welding system

Yanhai Lin,Yongyue Jiang

Table 2. The value and estimated order of ${\rm{\nabla }}\cdot {\boldsymbol{J}}$ for the numerical solution of the metal transfer.

mesh $32\times 32$ $64\times 64$ $128\times 128$ $\parallel {\rm{\nabla }}\cdot ({\boldsymbol{J}}-{{\boldsymbol{J}}}_{h})\parallel $ 7.326 31 × 10−3 2.536 94 × 10−3 5.4831 × 10−4 estimated order — 1.53 2.21