Publications [#333283] of Jianfeng Lu

Papers Published

1. Li, Q; Lu, J; Sun, W, A convergent method for linear half-space kinetic equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol. 51 no. 5 (September, 2017), pp. 1583-1615, E D P SCIENCES [doi]
   (last updated on 2024/09/17)

   Abstract:
   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.