A Domain Decomposition Method for Hybrid Shell Vector Element with Boundary Integral Method

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td align="left">Method</td><td align="center">DDM-FE-BI</td><td align="center">DDM-SVE-BI</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td align="left">Unknowns of single PEC coating sphere</td><td align="center">523</td><td align="center">274</td></tr><tr><td align="left">The total unknowns</td><td align="center">3138</td><td align="center">1644</td></tr><tr><td align="left">Memory of matrix <b><i>K</i></b> for single coating PEC sphere</td><td align="center">2.2 Mb</td><td align="center">0.6 Mb</td></tr><tr><td align="left">Computational time for matrix <svg height="14.8" id="M102" style="vertical-align:-3.30182pt" version="1.1" viewbox="0 0 19.924999 14.8" width="19.924999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.8)">
<g transform="translate(72,-60.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐗</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.92,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐂</tspan>
</text>
</g>
</g>
</svg></td><td align="center">22.4 s</td><td align="center">4.3 s</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

The comparison of the DDM-FE-BI and DDM-SVE-BI. Bistatic RCS of <svg height="11.075" id="M100" style="vertical-align:-0.3135pt" version="1.1" viewbox="0 0 32.700001 11.075" width="32.700001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.075)">
<g transform="translate(72,-63.14)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">×</tspan>
<tspan style="font-size: 12.50px; " x="19.804752" y="0">2</tspan>
</text>
</g>
</g>
</svg> array of coating PEC spheres. (mesh density with <svg height="14.75" id="M101" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 34.650002 14.75" width="34.650002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.75)">
<g transform="translate(72,-60.2)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜆</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.19,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">0</tspan>
</text>
<text transform="matrix(1,0,0,-1,-60.31,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="9.727334" y="0">0</tspan>
</text>
</g>
</g>
</svg>).

International Journal of Antennas and Propagation

tab1

Table 1

Table 1: A Domain Decomposition Method for Hybrid Shell Vector Element with Boundary Integral Method 