Half-space Kinetic Equations with General Boundary Conditions
Numerical Analysis
2015-09-14 v1 Computational Physics
Abstract
We study half-space linear kinetic equations with general boundary conditions that consist of both given incoming data and various type of reflections, extending our previous work [LLS14] on half-space equations with incoming boundary conditions. As in [LLS14], the main technique is a damping adding-removing procedure. We establish the well-posedness of linear (or linearized) half-space equations with general boundary conditions and quasi-optimality of the numerical scheme. The numerical method is validated by examples including a two-species transport equation, a multi-frequency transport equation, and the linearized BGK equation in 2D velocity space.
Cite
@article{arxiv.1509.03225,
title = {Half-space Kinetic Equations with General Boundary Conditions},
author = {Qin Li and Jianfeng Lu and Weiran Sun},
journal= {arXiv preprint arXiv:1509.03225},
year = {2015}
}