Name
Abstract | ||
|---|---|---|
In this paper, we develop and analyze the Runge-Kutta discontinuous Galerkin (RKDG) method to solve weakly coupled hyperbolic multidomain problems. Such problems involve transfer type boundary conditions with discontinuous fluxes between different domains, calling for special techniques to prove stability of the RKDG methods. We prove both stability and error estimates for our RKDG methods on simple models, and then apply them to a biological cell proliferation model [N. Echenim, D. Monniaux, M. Sorine, and F. Clement, Math. Biosci., 198 (2005), pp. 57-79]. Numerical results are provided to illustrate the good behavior of our RKDG methods. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1137/16M1089332 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Keywords | Field | DocType |
RKDG scheme,multidomain problems,discontinuous fluxes,biological cell proliferation model | Discontinuous Galerkin method,Boundary value problem,Mathematical optimization,Mathematical analysis,Biological cell,Mathematics | Journal |
Volume | Issue | ISSN |
39 | 5 | 1064-8275 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qingyuan Liu | 1 | 0 | 0.34 |
| Chi-Wang Shu | 2 | 4053 | 540.35 |
| Mengping Zhang | 3 | 121 | 14.66 |