{"id":113805,"date":"2013-08-02T00:00:00","date_gmt":"2013-08-02T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-numericos-para-ecuaciones-diferenciales-ra%c2%adgidas-aplicacion-a-la-semidiscretizacion-del-metodo-de-elementos-finitos\/"},"modified":"2013-08-02T00:00:00","modified_gmt":"2013-08-02T00:00:00","slug":"metodos-numericos-para-ecuaciones-diferenciales-ra%c2%adgidas-aplicacion-a-la-semidiscretizacion-del-metodo-de-elementos-finitos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/resolucion-de-ecuaciones-diferenciales-en-derivadas-parciales\/metodos-numericos-para-ecuaciones-diferenciales-ra%c2%adgidas-aplicacion-a-la-semidiscretizacion-del-metodo-de-elementos-finitos\/","title":{"rendered":"M\u00e9todos num\u00e9ricos para ecuaciones diferenciales r\u00edgidas. aplicaci\u00f3n a la semidiscretizaci\u00f3n del m\u00e9todo de elementos finitos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Elisabete Alberdi Celaya <\/strong><\/h2>\n<p>La semidiscretizaci\u00f3n del m\u00e9todo de elementos finitos (mef) de los problemas de difusi\u00f3n y onda conduce a sistemas de ecuaciones diferenciales ordinarias (edos) fuertemente r\u00edgidos que pueden integrarse con las funciones de la odesuite de matlab. Sin embargo, como la funci\u00f3n ode15s que ofrece matlab para sistemas r\u00edgidos se muestra poco eficiente en los problemas vibratorios, hemos profundizado en los m\u00e9todos bdf que la sustentan hasta comprender los motivos y proponer alternativas. Ello nos ha llevado a trabajar en dos direcciones:-\ta ampliar las regiones de estabilidad utilizando puntos super-futuros, lo que nos ha conducido a m\u00e9todos de orden 4 incondicionalmente estables.-\tA ponderar los m\u00e9todos cl\u00e1sicos de la mec\u00e1nica computacional que abordan directamente la resoluci\u00f3n de edos de orden 2 y conducen a m\u00e9todos incondicionalmente estables de orden de precisi\u00f3n 2, con control param\u00e9trico del amortiguamiento algor\u00edtmico y que permiten la disipaci\u00f3n de los modos de alta frecuencia que est\u00e1n mal definidos por la semidiscretizaci\u00f3n mef y s\u00f3lo aportan ruido a la soluci\u00f3n. En este sentido, hemos podido incorporar al bdf de orden 2, el control param\u00e9trico del amortiguamiento de las frecuencias de manera similar a como lo hace el m\u00e9todo hht- .Estos desarrollos los hemos hecho en una metodolog\u00eda orientada a objeto en matlab con el fin de disponer de una herramienta de laboratorio que facilite la experimentaci\u00f3n y la incorporaci\u00f3n de nuevos desarrollos sin necesidad de alterar los anteriores.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>M\u00e9todos num\u00e9ricos para ecuaciones diferenciales r\u00edgidas. aplicaci\u00f3n a la semidiscretizaci\u00f3n del m\u00e9todo de elementos finitos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 M\u00e9todos num\u00e9ricos para ecuaciones diferenciales r\u00edgidas. aplicaci\u00f3n a la semidiscretizaci\u00f3n del m\u00e9todo de elementos finitos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Elisabete Alberdi Celaya <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 08\/02\/2013<\/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>Juan  Jos\u00e9 Anza  Aguirrezabala<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jos\u00e9 Antonio Tarrago carcedo <\/li>\n<li>Juan  Jos\u00e9 Benito mu\u00f1oz (vocal)<\/li>\n<li>Mar\u00eda cruz L\u00f3pez de silan\u00e9s (vocal)<\/li>\n<li>Jos\u00e9 Mar\u00eda Goicolea ruig\u00f3mez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Elisabete Alberdi Celaya La semidiscretizaci\u00f3n del m\u00e9todo de elementos finitos (mef) de los problemas de difusi\u00f3n y [&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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