広告
・内挿関数Nの微分まとめ
3角形1次要素 の内挿関数Niの微分値のまとめを示します。
内挿関数N1の微分値
\[
c_{1x}=\frac{\partial N_1}{\partial x}
=\frac{\partial L_1}{\partial x}
=\frac{1}{2S}(-y_3+y_2)
\]
\[
c_{1y}=\frac{\partial N_1}{\partial y}
=\frac{\partial L_1}{\partial y}
=\frac{1}{2S}(x_3-x_2)
\]
内挿関数N2の微分値
\[
c_{2x}=\frac{\partial N_2}{\partial x}
=\frac{\partial L_2}{\partial x}
=\frac{1}{2S}(y_3-y_1)
\]
\[
c_{2y}=\frac{\partial N_2}{\partial y}
=\frac{\partial L_2}{\partial y}
=\frac{1}{2S}(-x_3+x_1)
\]
内挿関数N3の微分値
\[
c_{3x}=\frac{\partial N_3}{\partial x}
=\frac{\partial L_3}{\partial x}
=\frac{1}{2S}(-y_2+y_1)
\]
\[
c_{3y}=\frac{\partial N_3}{\partial y}
=\frac{\partial L_3}{\partial y}
=\frac{1}{2S}(x_2-x_1)
\]
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