On the Non-local Approximation of Free-discontinuity Problems

نویسندگان

  • Andrea Braides
  • Adriana Garroni
چکیده

A class of free-discontinuity problems is approximated in the sense of Γ-convergence by a sequence of non-local integral functionals.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Coupling Nonlinear Element Free Galerkin and Linear Galerkin Finite Volume Solver for 2D Modeling of Local Plasticity in Structural Material

This paper introduces a computational strategy to collaboratively develop the Galerkin Finite Volume Method (GFVM) as one of the most straightforward and efficient explicit numerical methods to solve structural problems encountering material nonlinearity in a small limited area, while the remainder of the domain represents a linear elastic behavior. In this regard, the Element Free Galerkin met...

متن کامل

Non-Lipschitz Semi-Infinite Optimization Problems Involving Local Cone Approximation

In this paper we study the nonsmooth semi-infinite programming problem with inequality constraints. First, we consider the notions of local cone approximation $Lambda$ and $Lambda$-subdifferential. Then, we derive the Karush-Kuhn-Tucker optimality conditions under the Abadie and the Guignard constraint qualifications.

متن کامل

Finite Difference Approximation of Free Discontinuity Problems

We approximate functionals depending on the gradient of u and on the behaviour of u near the discontinuity points, by families of non-local functionals where the gradient is replaced by finite differences. We prove pointwise convergence, Γ-convergence, and a compactness result which implies, in particular, the convergence of minima and minimizers. AMS (MOS) subject classifications: 49J45, 65K10.

متن کامل

Finite Diierence Approximation of Free Discontinuity Problems

We approximate functionals depending on the gradient of u and on the behaviour of u near the discontinuity points, by families of non-local function-als where the gradient is replaced by nite diierences. We prove pointwise convergence, ?-convergence, and a compactness result which implies, in particular , the convergence of minima and minimizers.

متن کامل

An Approximation Result for Free Discontinuity Functionals by Means of Non-local Energies

We approximate, in the sense of Γ-convergence, free discontinuity functionals with linear growth by a sequence of non local integral functionals depending on the average of the gradient on small balls. The result extends to higher dimension what already proved in [15], where there is the proof of the general one-dimensional case, and in [16], where the n-dimensional case with φ =Id is treated. ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010