Displaying similar documents to “Finite element approximation of a Stefan problem with degenerate Joule heating”

Unique Localization of Unknown Boundaries in a Conducting Medium from Boundary Measurements

Bruno Canuto (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider the problem of localizing an inaccessible piece of the boundary of a conducting medium Ω, and a cavity contained in Ω, from boundary measurements on the accessible part of ∂Ω. Assuming that is the given thermal flux for (,σ) ∈ (0,) x A, and that the corresponding output datum is the temperature ,σ) measured at a given time for σ ∈ ⊂ , we prove that and are uniquely localized from knowledge of all possible pairs of input-output...

Stabilité sous condition CFL non linéaire

Erwan Deriaz, Dmitry Kolomenskiy (2012)

ESAIM: Proceedings

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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 = 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...

Asymptotic behavior of the hitting time, overshoot and undershoot for some Lévy processes

Bernard Roynette, Pierre Vallois, Agnès Volpi (2007)

ESAIM: Probability and Statistics

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Let () be a Lévy process started at , with Lévy measure . We consider the first passage time of () to level , and the overshoot and the undershoot. We first prove that the Laplace transform of the random triple () satisfies some kind of integral equation. Second, assuming that admits exponential moments, we show that ( T x ˜ , K x , L x ) converges in distribution as → ∞, where T x ˜ denotes a suitable renormalization of .


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

Andriy Yurachkivsky (2012)

ESAIM: Probability and Statistics

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