Test 1D Degenerate Elliptical equation without Hamilton-Jacobi Part

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• Test 1D Degenerate Elliptical equation without Hamilton-Jacobi Parti
  
• 根据上一篇的经验：\(\frac{u_x^2}{1+u_x^2}\) 对初值的选取是很敏感的，建议取消这一项，改成已知部分。
• 以下测试
  \[ \begin{align} u_t &=\frac{u_x}{\sqrt{1+u_x^2}}+S(x)\u_x&=\frac{1}{\varepsilon^2+(x-x_0)^2} \in \{ x_L,x_R\}\\end{align} \]
  where
  \[ S(x)=-\frac{1}{\sqrt{\frac{1}{\left(\left(x-x_0\right){}^2+\epsilon ^2\right){}^2}+1} \left(\left(x-x_0\right){}^2+\epsilon ^2\right)} \]

Test 1D Degenerate Elliptical equation without Hamilton-Jacobi Part

标签：var   color   pac   ica   mat   lin   spl   org   ace   

原文地址：https://www.cnblogs.com/yuewen-chen/p/11623306.html