A convergent method for linear half-space kinetic equations

@article{Li2014ACM,
  title={A convergent method for linear half-space kinetic equations},
  author={Qin Li and Jianfeng Lu and Weiran Sun},
  journal={arXiv: Analysis of PDEs},
  year={2014}
}
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… Expand

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