A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations

<table>Iteration number versus parameter, generalized Oseen problem, with <svg height="10.9125" id="M168" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 61.862499 10.9125" width="61.862499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜐</tspan>
<tspan style="font-size: 12.50px; " x="9.2147112" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.2551" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="27.506599" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="30.632351" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="36.88385" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="43.135349" y="0">1</tspan>
</text>
</g>
</g>
</svg>. (a) 16 × 16 grid, (b) 32 × 32 grid. </table>

Journal of Applied Mathematics

fig4

Figure 4

Figure 4: A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations 