In the previous functional, we fix $a=2-p$ and\n$u$ is a scalar density function, $Tu$ denotes its trace on $\\partial\\Omega$,\n$d(x,\\partial \\Omega)$ stands for the distance function to the boundary\n$\\partial\\Om$. We show that the singular limit of the energies $F...
In this paper, we study the $$\Gamma $$ -limit of a properly rescaled family of energies, defined on a narrow strip, as the width of the strip tends to zer
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The proof of the convergence rate of projected gradient descent of a \gamma-well-conditioned function in the OCO book[1] can be hard to follow at times. We provide a more elaborated version of the p…
A handbook of Gamma-convergence 来自 ResearchGate 喜欢 0 阅读量: 58 作者: A Braides 摘要: In this paper we give optimal bounds for the homogenization of periodic Ising systems when the coefficients may take two given values in given proportions. 被引量: 193 年份: 2006 收藏 引用 ...
Equation solved. fsolve completed because the vector of function values is near zero as measured by the value of the function tolerance, and the problem appears regular as measured by the gradient. B =0.9247 functionresidual = fun(B)
We establish a \(\Gamma \) -convergence result for the rate functional in terms of both the concentration at each node and the flux over each edge (the level-2.5 rate function). The limiting system is again described by a functional, and characterises both fast and slow fluxes in the ...
Curve fitting and convergence to estimate two... Learn more about curve fitting, regression, data fitting, convergence, least square fitting, sum of squares, fmincon
Rational functions orthogonal on the unit circle with prescribed poles lying outside the unit circle are studied. We establish a relation between the orthogonal rational functions and the orthogonal polynomials with respect to varying measures. Using this relation, we extend the recent results of Bult...
Let Q_h be the set of all piecewise constant functions on the grid \mathcal {T}_h and Q_h^m be the corresponding m-dimensional function space, m \in \mathbb {N}. Then we can introduce following projection operators \begin{aligned}&\Pi _{\mathcal {T}}\phi (x) = \sum _{K \...