An optimal adaptive wavelet method for First Order System Least Squares
Numerical Analysis
2017-11-17 v1
Abstract
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.
Cite
@article{arxiv.1711.06099,
title = {An optimal adaptive wavelet method for First Order System Least Squares},
author = {Nikolaos Rekatsinas and Rob Stevenson},
journal= {arXiv preprint arXiv:1711.06099},
year = {2017}
}
Comments
40 pages