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

<div>Maximum condition numbers of moment matrices (<span class="nowrap"><svg height="11.974pt" id="M71" style="vertical-align:-0.04979992pt" version="1.1" viewbox="-0.0498162 -11.9242 9.2729 11.974" width="9.2729pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,1.794,-2.897)"><path d="M658 624L641 649C599 612 554 595 493 595C444 595 402 603 342 615C268 634 232 641 184 641C129 641 57 621 0 557L17 532C67 566 113 586 176 586C230 586 265 577 316 565C380 550 430 540 482 540C540 540 611 558 658 624Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M686 28C612 35 607 44 591 112C563 234 541 360 519 489L489 666L457 658L147 121C100 40 89 36 24 28L17 0H240L250 28C168 34 159 41 190 101L262 237H482C495 180 503 137 510 91C517 47 514 35 441 28L433 0H677L686 28ZM475 280H285L429 541H431L475 280Z"></path></g></svg>)</span> with various smooth lengths.</div>

Mathematical Problems in Engineering

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Figure 9

Figure 9: A Study on Stable Regularized Moving Least-Squares Interpolation and Coupled with SPH Method 