A convergent method for linear half-space kinetic equations
主 题: A convergent method for linear half-space kinetic equations
报告人: Jianfeng Lu (Duke University)
时 间: 2014-07-30 14:00-15:00
地 点: 理科一号楼1303室（主持人：李铁军）
We give a unified proof for the well-posedness of a class of linear half-space equations with general incoming data and construct a Galerkin method to numerically resolve this type of equations in a systematic way. Our main strategy in both analysis and numerics includes three steps: adding damping terms to the original half-space equation, using an inf-sup argument and even-odd decomposition to establish the well-posedness of the damped equation, and then recovering solutions to the original half-space equation.
The proposed numerical methods for the damped equation is shown to be quasi-optimal and the numerical error of approximations to the original equation is controlled by that of the damped equation. This efficient
solution to the half-space problem is useful for kinetic-fluid coupling simulations. (joint work with Qin Li and Weiran Sun)
