Stability of a generalized particle method for a Poisson equation by discrete Sobolev norms
Numerical Analysis
2019-07-03 v2
Abstract
Numerical analysis is conducted for a generalized particle method for a Poisson equation. Unique solvability is derived for the discretized Poisson equation by introducing a connectivity condition for particle distributions. Moreover, by introducing discrete Sobolev norms and a semi-regularity of a family of discrete parameters, stability is obtained for the discretized Poisson equation based on the norms.
Keywords
Cite
@article{arxiv.1804.04781,
title = {Stability of a generalized particle method for a Poisson equation by discrete Sobolev norms},
author = {Y. Imoto},
journal= {arXiv preprint arXiv:1804.04781},
year = {2019}
}
Comments
7 pages, 1 figure