Name
Abstract | ||
|---|---|---|
We present a new formalism to characterize high-order reconstruction algorithms used in finite volume methods. This formalism provides new tools to examine the properties of these methods. Included in this formalism is the notion of admissible reconstruction methods providing concrete statements regarding the satisfaction of the maximum principle and positivity preservation properties. We demonstrate that the traditional reconstruction limiting algorithms can be recast in our formalism, thus providing new proofs of the maximum principle. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1137/110854278 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
finite volume scheme,maximum principle,high-order reconstruction,positivity preserving | Mathematical optimization,Maximum principle,Mathematical analysis,Scalar (physics),Mathematical proof,Formalism (philosophy),Finite volume method,Mathematics,Limiting | Journal |
Volume | Issue | ISSN |
51 | 1 | 0036-1429 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| St éphane Clain | 1 | 25 | 3.57 |