Name
Title | ||
|---|---|---|
Well-posedness and a numerical study of a regularization model with adaptive nonlinear filtering for incompressible fluid flow. |
Abstract | ||
|---|---|---|
We give a detailed analytical study of a Leray model of incompressible flow that uses nonlinear filtering based on indicator functions. The indicator functions allow for local regularization, instead of global regularization which can over-smooth and dampen out important flow structures. The key to the analysis is the identification of the indicator function as a Nemyskii operator. After proving well-posedness, we provide a numerical study which includes proving optimal convergence of finite element method for the model, as well as several numerical experiments. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.camwa.2015.12.012 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Navier–Stokes Equations,Nonlinear filtering,Finite element | Convergence (routing),Compressibility,Mathematical optimization,Mathematical analysis,Indicator function,Finite element method,Regularization (mathematics),Operator (computer programming),Incompressible flow,Mathematics,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
71 | 11 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yanzhao Cao | 1 | 98 | 12.20 |
| Song Chen | 2 | 0 | 0.34 |
| Leo G. Rebholz | 3 | 141 | 24.08 |