The H–1-norm of tubular neighbourhoods of curves

Yves van Gennip; Mark A. Peletier

Displaying similar documents to “The H–1-norm of tubular neighbourhoods of curves”

Limit theorems for measure-valued processes of the level-exceedance type

Andriy Yurachkivsky (2012)

ESAIM: Probability and Statistics

Similarity:

Let, for each , (, ۔) be a random measure on the Borel -algebra in ℝ such that E(, ℝ) < ∞ for all and let $\hat{ψ}$ (, ۔) be its characteristic function. We call the function $\hat{ψ}$ ( ,…, ; ,…, ) = $𝖤 \prod_{j = 1}^{l} \hat{ψ} (t_{j}, z_{j})$ of arguments ℕ, , … , , ℝ the of the measure-valued random function (MVRF) (۔, ۔). A...

Regularization of linear least squares problems by total bounded variation

G. Chavent, K. Kunisch (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We consider the problem : Minimize $λ_{2}$ over , where is a closed convex subset of (Ω), and the last additive term denotes the BV-seminorm of is a linear operator from ∩ into the observation space . We formulate necessary optimality conditions for (). Then we show that () admits, for given regularization parameters α and β, solutions which depend in a stable manner on the data z. Finally we study the asymptotic behavior when α = β → 0. The regularized...

The H–1-norm of tubular neighbourhoods of curves

Yves van Gennip, Mark A. Peletier (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We study the -norm of the function 1 on tubular neighbourhoods of curves in $ℝ^{2}$ . We take the limit of small thickness, and we prove two different asymptotic results. The first is an asymptotic development for a fixed curve in the limit → 0, containing contributions from the length of the curve (at order ), the ends ( ), and the curvature ( ). The second result is a Γ-convergence result, in which the central curve may vary along...

Stabilité sous condition CFL non linéaire

Erwan Deriaz, Dmitry Kolomenskiy (2012)

ESAIM: Proceedings

Similarity:

We present a basic althought little known numerical stability condition: for convection equations, the von Neumann stability constraint ∥ ∥ ≤ (1 + Δ) ∥ ∥ drives to the stability condition Δ ≤ Δ with $α = \frac{p (2 q - 1)}{q (2 p - 1)}$ where is an integer linked to the stability domain of the time scheme and ≥ an integer linked to the upwind property of the space discretization...