Method of Moving Frames to Solve Conservation Laws on Curved Surfaces

Abstract

A new numerical framework is proposed to solve partial differential equations on curved surfaces by using the orthogonal moving frames at each grid point to compute the gradient of a scalar variable. We call this framework the method of moving frames (MMF) that is adopted and modified from the works of É. Cartan. Compared to the Eulerian method and the… (More)
DOI: 10.1007/s10915-011-9570-7

Topics

17 Figures and Tables

Slides referencing similar topics