\begin{table}%t1 \caption{\label{tab1}Quality of our reconstructions with several figures of merit as explained in Sect.~3.2.} %\centerline {\small \begin{tabular}{llllcclllllrr} \hline \hline\noalign{\smallskip} Model & $L_{\omega}$&$L_{\rm f}$&$L_{\rm d}$& $\parallel \nabla \cdot {\vec{B}} \parallel_{\infty}$& $\parallel {\vec{ j} } \times {\vec{B}} \parallel_{\infty} $ & $C_{\rm vec}$&$C_{\rm CS}$&$E_{N}$&$E_{M}$&$\epsilon$ &Steps& Time \\ \hline &\multicolumn{3}{c}{Spherical grid $20 \times 48 \times 62$} &&&&&&&& \\ Original &0.029&0.015&0.014&1.180&1.355& 1& 1& 0& 0& 1& & \\ Potential &0.020&0.007&0.014&1.706&1.091&0.736&0.688&0.573&0.535&0.676&& \\ Case 1 &0.006&0.004&0.002&0.454&0.774&0.999&0.983&0.012&0.016&1.005&10~000& 7.14~min \\ Case 2 &33.236&7.806&25.430&47.843&24.135&0.757&0.726&0.397&0.451&0.745&110& 1.28~min \\ Case 3 &0.009&0.006&0.03&0.367&0.787&0.994&0.967&0.187&0.097&0.989&12~011& 17.54~min \\ \hline &\multicolumn{3}{c}{Spherical grid $40 \times 96 \times 124$} &&&&&&&& \\ Original &0.005&0.003&0.002&0.38&0.71& 1& 1& 0& 0& 1& & \\ Potential &0.30&0.0003&0.30&0.44&0.23&0.67&0.77&0.70&0.67&0.75& & \\ Case 1 &0.002&0.001&0.0006&0.38&0.32&0.998&0.999&0.004&0.007&1.001&12~522& 1~h 21~min \\ Case 2 &26.27&10.20&16.07&20.40&30.53&0.799&0.759&0.411&0.456&0.798&5673&1~h 1~min \\ Case 3 &0.24&0.20&0.04&0.630&0.747&0.996&0.971&0.186&0.112&0.996&12~143 & 4~h 57~min\\ \hline \end{tabular}} \medskip We compute the figures for the three different cases along with the model reference field and potential field. \end{table}