In this paper, it is shown that any well-posed 2nd order PDE can be reformulated as a well-posed first order least squares system. This system will be solved by an adaptive wavelet solver in optimal computational complexity. The applications that are considered are second order elliptic PDEs with general inhomogeneous boundary conditions, and the stationary Navier–Stokes equations.

中文翻译：

---

一阶系统最小二乘最优自适应小波方法

在本文中，表明任何适定的二阶偏微分方程都可以重新表述为适定的一阶最小二乘系统。该系统将由自适应小波求解器以最佳计算复杂度求解。考虑的应用是具有一般非齐次边界条件的二阶椭圆偏微分方程和平稳 Navier-Stokes 方程。