Name
Abstract | ||
|---|---|---|
We develop an ultra-weak variational formulation of a fractional advection diffusion problem in one space dimension and prove its well-posedness. Based on this formulation, we define a DPG approximation with optimal test functions and show its quasi-optimal convergence. Numerical experiments confirm expected convergence properties, for uniform and adaptively refined meshes. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s10915-017-0369-z | J. Sci. Comput. |
Keywords | Field | DocType |
Fractional diffusion, Riemann–Liouville fractional integral, DPG method with optimal test functions, Ultra-weak formulation, 65N30 | Convergence (routing),Convection–diffusion equation,Mathematical optimization,Polygon mesh,Mathematical analysis,Advection,Mathematics | Journal |
Volume | Issue | ISSN |
72 | 2 | 1573-7691 |
Citations | PageRank | References |
1 | 0.36 | 21 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vincent J. Ervin | 1 | 118 | 15.66 |
| Thomas Führer | 2 | 37 | 11.17 |
| Norbert Heuer | 3 | 263 | 39.70 |
| Michael Karkulik | 4 | 47 | 6.50 |