A convergent method for linear half-space kinetic equations

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Li, Q; Lu, J; Sun, W

Published Date

  • September 1, 2017

Published In

Volume / Issue

  • 51 / 5

Start / End Page

  • 1583 - 1615

Electronic International Standard Serial Number (EISSN)

  • 1290-3841

International Standard Serial Number (ISSN)

  • 0764-583X

Digital Object Identifier (DOI)

  • 10.1051/m2an/2016076

Citation Source

  • Scopus