A convergent method for linear half-space kinetic equations
| dc.contributor.author | Li, Q | |
| dc.contributor.author | Lu, J | |
| dc.contributor.author | Sun, W | |
| dc.date.accessioned | 2017-04-23T15:41:17Z | |
| dc.date.available | 2017-04-23T15:41:17Z | |
| dc.date.issued | 2017-04-23 | |
| dc.description.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. | |
| dc.identifier | ||
| dc.identifier.uri | ||
| dc.publisher | EDP Sciences | |
| dc.subject | math.AP | |
| dc.subject | math.AP | |
| dc.subject | math.NA | |
| dc.subject | physics.comp-ph | |
| dc.title | A convergent method for linear half-space kinetic equations | |
| dc.type | Journal article | |
| duke.contributor.orcid | Lu, J|0000-0001-6255-5165 | |
| pubs.author-url | ||
| pubs.organisational-group | Chemistry | |
| pubs.organisational-group | Duke | |
| pubs.organisational-group | Mathematics | |
| pubs.organisational-group | Physics | |
| pubs.organisational-group | Trinity College of Arts & Sciences |