Name
Title | ||
|---|---|---|
The strengthened cauchy-Bunyakowski-Schwarz inequality for n-simplicial linear finite elements |
Abstract | ||
|---|---|---|
It is known that in one, two, and three spatial dimensions, the optimal constant in the strengthened Cauchy-Bunyakowski-Schwarz (CBS) inequality for the Laplacian for red-refined linear finite element spaces, takes values zero, and , respectively. In this paper we will conjecture an explicit relation between these numbers and the spatial dimension, which will also be valid for dimensions four and up. For each individual value of n, it is easy to verify the conjecture. Apart from giving additional insight into the matter, the result may find applications in four dimensional finite element codes in the context of computational relativity and financial mathematics. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1007/978-3-540-31852-1_23 | NAA |
Keywords | Field | DocType |
financial mathematics,dimensional finite element code,strengthened cauchy-bunyakowski-schwarz inequality,strengthened cauchy-bunyakowski-schwarz,computational relativity,spatial dimension,additional insight,individual value,red-refined linear finite element,n-simplicial linear finite element,explicit relation,finite element | Discrete mathematics,Mathematical finance,Cauchy–Schwarz inequality,Finite element method,Cauchy distribution,Theory of relativity,Conjecture,Mathematics,Laplace operator,Mixed finite element method | Conference |
Volume | ISSN | ISBN |
3401 | 0302-9743 | 3-540-24937-0 |
Citations | PageRank | References |
2 | 0.46 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jan Brandts | 1 | 54 | 5.96 |
| Sergey Korotov | 2 | 188 | 29.62 |
| Michal Křížek | 3 | 91 | 15.53 |