Half-space kinetic equations with general boundary conditions
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© 2016 American Mathematical Society.We study half-space linear kinetic equations with general boundary conditions that consist of both given incoming data and various types of reflections, extending our previous work on half-space equations with incoming boundary conditions. As in our previous work, 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 quasioptimality 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.
Published Version (Please cite this version)10.1090/mcom/3155
Publication InfoLi, Q; Lu, Jianfeng; & Sun, W (2017). Half-space kinetic equations with general boundary conditions. Mathematics of Computation, 86(305). pp. 1269-1301. 10.1090/mcom/3155. Retrieved from https://hdl.handle.net/10161/14042.
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Associate Professor of Mathematics
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science and other related fields.More specifically, his current research focuses include:Electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis; rare events and sampling techniques.