AN ADAPTIVE FINITE ELEMENT APPROXIMATION OF A GENERALIZED AMBROSIO-TORTORELLI FUNCTIONAL

Autor:	Endre Süli, Siobhan Burke, Christoph Ortner
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Work (thermodynamics) Discretization Applied Mathematics Mathematical analysis Mathematics::Analysis of PDEs Finite element method TA Modeling and Simulation Variational inequality Minification QA Brittle fracture Energy (signal processing) Mathematics Energy functional
Zdroj:	MATHEMATICAL MODELS and METHODS IN APPLIED SCIENCES. 23(9)
ISSN:	1793-6314 0218-2025
Popis:	The Francfort–Marigo model of brittle fracture is posed in terms of the minimization of a highly irregular energy functional. A successful method for discretizing the model is to work with an approximation of the energy. In this work a generalized Ambrosio–Tortorelli functional is used. This leads to a bound-constrained minimization problem, which can be posed in terms of a variational inequality. We propose, analyze and implement an adaptive finite element method for computing (local) minimizers of the generalized functional.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f10e0951064c757f1b929993f233e61 http://ora.ox.ac.uk/objects/uuid:cb37960a-b726-4419-a1e3-fb89175aef12 Zobrazit plný text záznamu