Výsledky vyhledávání - "Gamma convergence"

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$\Gamma$-convergence of an Enhanced Finite Element Method for Mani\`a's Problem Exhibiting the Lavrentiev Gap Phenomenon

Autor: Feng, Xiaobing H., Siktar, Joshua M.

It is well-known that numerically approximating calculus of variations problems possessing a Lavrentiev Gap Phenomenon (LGP) is challenging, and the standard numerical methodologies such as finite element, finite difference, and discontinuous Galerki

Externí odkaz: http://arxiv.org/abs/2410.06434

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A $\Gamma$-convergence of level-two large deviation for metastable systems: The case of zero-range processes

Autor: Choi, Kyuhyeon

This study explores the relationship between the precise asymptotics of the level-two large deviation rate function and the behavior of metastable stochastic systems. Initially identified for overdamped Langevin dynamics (Ges{\`u} et al., SIAM J Math

Externí odkaz: http://arxiv.org/abs/2405.10631

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$\Gamma$-convergence involving nonlocal gradients with varying horizon: Recovery of local and fractional models

Autor: Cueto, Javier, Kreisbeck, Carolin, Schönberger, Hidde

This work revolves around the rigorous asymptotic analysis of models in nonlocal hyperelasticity. The corresponding variational problems involve integral functionals depending on nonlocal gradients with a finite interaction range $\delta$, called the

Externí odkaz: http://arxiv.org/abs/2404.18509

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$\Gamma$-convergence and stochastic homogenization of second order singular perturbation models for phase transitions

Autor: Donnarumma, Antonio Flavio

We study the effective behavior of random, heterogeneous, anisotropic, second order phase transitions energies that arise in the study of pattern formations in physical-chemical systems. Specifically, we study the asymptotic behavior, as $\epsilon$ g

Externí odkaz: http://arxiv.org/abs/2406.14356

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A closure theorem for $\Gamma$-convergence and H-convergence with applications to non-periodic homogenization

Autor: Braides, Andrea, Maso, Gianni Dal, Bris, Claude Le

In this work we examine the stability of some classes of integrals, and in particular with respect to homogenization. The prototypical case is the homogenization of quadratic energies with periodic coefficients perturbed by a term vanishing at infini

Externí odkaz: http://arxiv.org/abs/2402.19031

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Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems

Autor: Du, Qiang, Scott, James M., Tian, Xiaochuan

We present a study on asymptotically compatible Galerkin discretizations for a class of parametrized nonlinear variational problems. The abstract analytical framework is based on variational convergence, or Gamma-convergence. We demonstrate the broad

Externí odkaz: http://arxiv.org/abs/2402.07749

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