Discrete Conservation Law on Curved Surfaces
Computational Geometry
2011-09-02 v1 Numerical Analysis
Computational Physics
Abstract
In this paper we shall introduce a simple, effective numerical method for finding differential operators for scalar and vector-valued functions on surfaces. The key idea of our algorithm is to develop an intrinsic and unified way to compute directly the partial derivatives of functions defined on triangular meshes which are the discretization of regular surfaces under consideration. Most importantly, the divergence theorem and conservation laws on triangular meshes are fulfilled.
Cite
@article{arxiv.1109.0129,
title = {Discrete Conservation Law on Curved Surfaces},
author = {Sheng-Gwo Chen and Jyh-Yang Wu},
journal= {arXiv preprint arXiv:1109.0129},
year = {2011}
}
Comments
18 pages, 9 figures