{"id":83785,"date":"2018-03-10T00:07:55","date_gmt":"2018-03-10T00:07:55","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/analisis-de-la-aproximacion-numerica-de-problemas-variacionales-no-convexos\/"},"modified":"2018-03-10T00:07:55","modified_gmt":"2018-03-10T00:07:55","slug":"analisis-de-la-aproximacion-numerica-de-problemas-variacionales-no-convexos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/analisis-de-la-aproximacion-numerica-de-problemas-variacionales-no-convexos\/","title":{"rendered":"An\u00e1lisis de la aproximaci\u00f3n num\u00e9rica de problemas variacionales no convexos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Ernesto Aranda Ortega <\/strong><\/h2>\n<p>El objetivo central de este trabajo es el an\u00e1lisis num\u00e9rico de algunos problemas variacionales relacionados con la elasticidad no lineal, en los que la falta de ciertas propiedades de convexidad deriva en la ausencia de m\u00ednimo y en el comportamiento oscilatorio de las sucesiones minimizantes, dando lugar a la aparici\u00f3n de microestructuras.  la aproximaci\u00f3n num\u00e9rica de estas microestructuras se realiza mediante la relajaci\u00f3n, en t\u00e9rminos de medidas de young, de este tipo de problemas. debido a la dificultad que supone tratar con la propiedad de cuasiconvexidad, la alternativa presentada en este trabajo basa el esquema de aproximaci\u00f3n en el tratamiento de la envolvente convexa de rango uno, gracias a la cual es posible construir medidas asociadas a problemas homog\u00e9neos. Por su parte, la aproximaci\u00f3n de problemas no homog\u00e9neos se lleva a cabo mediante la construcci\u00f3n de una sucesi\u00f3n de medidas de young discretas que convergen macrosc\u00f3picamente a la soluci\u00f3n del problema relajado y que permiten codificar el comportamiento de las sucesiones minimizantes. Se finaliza con algunos experimentos num\u00e9ricos que ponen de manifiesto la capacidad de este esquema en la aproximaci\u00f3n de microestructuras.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>An\u00e1lisis de la aproximaci\u00f3n num\u00e9rica de problemas variacionales no convexos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 An\u00e1lisis de la aproximaci\u00f3n num\u00e9rica de problemas variacionales no convexos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Ernesto Aranda Ortega <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 16\/03\/2000<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Pablo Pedregal Tercero<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: enrique Fernandez cara <\/li>\n<li>Juan  Jos\u00e9 Egozcue rub\u00ed (vocal)<\/li>\n<li> Via\u00f1o rey Juan  Manuel (vocal)<\/li>\n<li>Jorge Ort\u00edn rull (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ernesto Aranda Ortega El objetivo central de este trabajo es el an\u00e1lisis num\u00e9rico de algunos problemas variacionales [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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