Electromagnetic Problems Solving by  Conformal Mapping: A Mathematical Operator for Optimization

<table class="table-group" id="tab6"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td align="left">Curvilinear Squares Method Conformal Mapping</td><td align="left">Finite Elements Method <br/>Software Flux <svg height="9.6000004" id="M311" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 18.4125 9.6000004" width="18.4125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.6)">
<g transform="translate(72,-64.32)">
<text transform="matrix(1,0,0,-1,-71.95,64.37)">
<tspan style="font-size: 11.21px; " x="0" y="0">2</tspan>
<tspan style="font-size: 11.21px; " x="5.6040001" y="0">𝐷</tspan>
</text>
</g>
</g>
</svg></td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td align="left"><svg height="12.2125" id="M312" style="vertical-align:-2.10374pt" version="1.1" viewbox="0 0 48.112499 12.2125" width="48.112499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.2125)">
<g transform="translate(72,-62.23)">
<text transform="matrix(1,0,0,-1,-71.95,64.37)">
<tspan style="font-size: 11.21px; " x="0" y="0">7</tspan>
<tspan style="font-size: 11.21px; " x="5.6040001" y="0">.</tspan>
<tspan style="font-size: 11.21px; " x="8.4060001" y="0">9</tspan>
<tspan style="font-size: 11.21px; " x="14.01" y="0">0</tspan>
<tspan style="font-size: 11.21px; " x="19.614" y="0">8</tspan>
<tspan style="font-size: 11.21px; " x="25.218" y="0">2</tspan>
<tspan style="font-size: 11.21px; " x="30.822001" y="0">𝑓</tspan>
</text>
</g>
</g>
</svg>F</td><td align="left"><svg height="12.3875" id="M313" style="vertical-align:-2.10374pt" version="1.1" viewbox="0 0 48.112499 12.3875" width="48.112499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.3875)">
<g transform="translate(72,-62.09)">
<text transform="matrix(1,0,0,-1,-71.95,64.24)">
<tspan style="font-size: 11.21px; " x="0" y="0">7</tspan>
<tspan style="font-size: 11.21px; " x="5.6040001" y="0">.</tspan>
<tspan style="font-size: 11.21px; " x="8.4060001" y="0">9</tspan>
<tspan style="font-size: 11.21px; " x="14.01" y="0">1</tspan>
<tspan style="font-size: 11.21px; " x="19.614" y="0">2</tspan>
<tspan style="font-size: 11.21px; " x="25.218" y="0">5</tspan>
<tspan style="font-size: 11.21px; " x="30.822001" y="0">𝑓</tspan>
</text>
</g>
</g>
</svg>F</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Calculation of the capacitance of a device with any polygonal geometry.

Mathematical Problems in Engineering

tab6

Table 6

Table 6: Electromagnetic Problems Solving by  Conformal Mapping: A Mathematical Operator for Optimization 