نتایج جستجو برای: h norm

تعداد نتایج: 571633  

2017
JACQUES BARANGER AHMED MACHMOUM

We consider the numerical approximation of a flrst order stationary hyperbolic équation by the method of characteristics with pseudo time step k using discontinuous finite éléments on a mesh Th. For this method, we exhibit a "natural" norm || \\h,k for which we show that the discrete variational problem P^ is welî posed and we obtain an error estimate. We show that when k goes to zero problem (...

Journal: :American journal of physiology. Regulatory, integrative and comparative physiology 2002
R S Richardson E A Noyszewski B Saltin J González-Alonso

We studied muscle blood flow, muscle oxygen uptake (VO(2)), net muscle CO uptake, Mb saturation, and intracellular bioenergetics during incremental single leg knee-extensor exercise in five healthy young subjects in conditions of normoxia, hypoxia (H; 11% O(2)), normoxia + CO (CO(norm)), and 100% O(2) + CO (CO(hyper)). Maximum work rates and maximal oxygen uptake (VO(2 max)) were equally reduce...

Journal: :Journal of spectral theory 2021

In $L_2(\mathbb{R}^d;\mathbb{C}^n)$, we consider a selfadjoint matrix strongly elliptic second order differential operator $\mathcal{A}_\varepsilon$, $\varepsilon >0$. The coefficients of the $\mathcal{A}_\varepsilon$ are periodic and depend on $\mathbf{x}/\varepsilon$. We study behavior $\mathcal{A}_\varepsilon ^{-1/2}\sin (\tau \mathcal{A}_\varepsilon ^{1/2})$, $\tau\in\mathbb{R}$, in small p...

Journal: :The Journal of Intelligence, Conflict, and Warfare 2021

Journal: :Monatshefte für Mathematik 2022

We consider the inhomogeneous biharmonic nonlinear Schr dinger (IBNLS) equation in $${\mathbb {R}}^N$$ , $$\begin{aligned} i \partial _t u +\Delta ^2 -|x|^{-b} |u|^{2\sigma }u = 0, \end{aligned}$$ where $$\sigma > 0$$ and $$b . first study local well-posedness $${\dot{H}}^{s_c}\cap \dot{H}^2 $$ for $$N\ge 5$$ $$0<s_c<2$$ $$s_c=\frac{N}{2}-\frac{4-b}{2\sigma }$$ Next, we established a Gagliardo-...

2014
Sirada Pinjai Kanit Mukdasai Martin D. Schechter

and Applied Analysis 3 where h, r, g, μ, and δ are given positive constants. The initial condition functions φ t , φ t ∈ C −max{r, h, g}, 0 ,R denote continuous vector-valued initial function of t ∈ −max{r, h, g}, 0 with the norm ‖φ‖ sups∈ −max{r,h,g},0 ‖φ s ‖, ‖φ‖ sups∈ −max{r,h,g},0 ‖φ s ‖. The uncertain matrices ΔA t , ΔB t , and ΔD t are norm bounded and can be described as ΔA t EF t N1, ΔB...

2004
Babak Hassibi Thomas Kailath

In this paper we obtain a new formula for the minimum achievable disturbance attenuation in two-block H” problems. This new formula has the same structure as the optimal H” norm formula for noncausal problems, except that doubly-infinite (so-called Laurent) operators must be replaced by semi-infinite (so-called Toeplitz) operators. The benefit of the new formula is that it allows us to find exp...

Journal: :Numerical Mathematics-theory Methods and Applications 2022

A family of conforming mixed finite elements with mass lumping on triangular grids are presented for linear elasticity. The stress field is approximated by symmetric $H({\rm div})-P_k (k\geq 3)$ polynomial tensors enriched higher order bubbles so as to allow lumping, which can be viewed the Hu-Zhang interior bubble functions. displacement $C^{-1}-P_{k-1}$ vectors terms ensure stability conditio...

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