Fast PDE Solver Environment for Large-Scale Applications

摘要

The major achievements of this project have been summarized in the Interim Progress Reports. The results of most significance fall in the following major categories: Quasilinear PDEs,the Eikonal Equation, and the Image Irradiance Equation; Photometric Stereo and Interactive Visual Design; Discrete Curvature; Lattice Boltzmann Simulation of Discrete Curvature Flow by Mean Curvature for computer vision and image processing; and Electromagnetic Scattering from Non-Smooth Domains and new Piecewise Polynomial Wavelet Bases.