A Study on Stable Regularized Moving Least-Squares Interpolation and Coupled with SPH Method

<table class="table-group" id="tab6"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left"> </td><td class="align_center">Regular</td><td class="align_center">Irregular</td><td class="align_center">Random</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left"><i>f</i>,<sub><i>xx</i></sub></td><td class="align_center">1.075</td><td class="align_center">1.020</td><td class="align_center">0.954</td></tr><tr><td class="align_left"><i>f</i>,<sub><i>xy</i></sub></td><td class="align_center">1.014</td><td class="align_center">1.066</td><td class="align_center">0.966</td></tr><tr><td class="align_left"><i>f</i>,<sub><i>yy</i></sub></td><td class="align_center">1.008</td><td class="align_center">1.027</td><td class="align_center">0.881</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The convergence rates of the second-order derivatives with SRMLS for different particle patterns.</div>

Mathematical Problems in Engineering

tab6

Table 6

Table 6: A Study on Stable Regularized Moving Least-Squares Interpolation and Coupled with SPH Method 