{"id":26223,"date":"2003-09-10T00:00:00","date_gmt":"2003-09-10T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/the-postprocessed-mixed-finite-element-method-for-the-navier-stokes-equations\/"},"modified":"2003-09-10T00:00:00","modified_gmt":"2003-09-10T00:00:00","slug":"the-postprocessed-mixed-finite-element-method-for-the-navier-stokes-equations","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/the-postprocessed-mixed-finite-element-method-for-the-navier-stokes-equations\/","title":{"rendered":"The postprocessed mixed finite element method for the navier-stokes equations"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Blanca Ayuso De Dios <\/strong><\/h2>\n<p>La t\u00e9cnica del postproceso surgi\u00f3 en conexi\u00f3n con el llamado \u00abm\u00e9todo galerkin no-lineal\u00bb (ngm); un conjunto de esquemas num\u00e9ricos que utilizan la idea de la variedad inercial aproximada (aim) y mejoran el orden de convergencia de los m\u00e9todos galerkin est\u00e1ndar. Los m\u00e9todos postprocesados tambi\u00e9n mejoran el orden de convergencia de los m\u00e9todos galerkin est\u00e1ndar y adem\u00e1s son m\u00e1s eficientes que los algoritmos no-lineales. La t\u00e9cnica del postproceso ha sido aplicada con \u00e9xito a multitud de m\u00e9todos galerkin para ecuaciones en derivadas parciales disipativas.  en este trabajo, se extiende la t\u00e9cnica del postproceso al m\u00e9todo de elementos finitos mixtos (mfem) para las ecuaciones de navier-stokes. Estas ecuaciones modelan la evoluci\u00f3n del campo de velocidades y de la presi\u00f3n de un fluido viscoso, suponiendo que el fluido es homog\u00e9neo e incompresible.  el m\u00e9todo de elementos finitos mixtos (mfem) postprocesado puede considerarse como un m\u00e9todo a dos niveles. En el primer nivel, se calcula la aproximaci\u00f3n por mfe a la soluci\u00f3n del problema de navier-stokes. Esta resulta ser la parte m\u00e1s costosa del m\u00e9todo postprocesado, pues involucra la integraci\u00f3n temporal de las ecuaciones de navier-stokes. En un segundo nivel, se postprocesa esta aproximaci\u00f3n obtenida; calculando la aproximaci\u00f3n por mfe de un problema de stokes. La aproximaci\u00f3n se lleva a cabo usando un elemento mixto m\u00e1s preciso que el empleado en el primer nivel del m\u00e9todo. Como resultado se obtiene un m\u00e9todo que no s\u00f3lo mejora la precisi\u00f3n de la aproximaci\u00f3n, sino que adem\u00e1s aumenta la eficiencia del mfem:  * la mejora en la precisi\u00f3n se obtiene gracias al aumento en el orden de convergencia de las aproximaciones de la velocidad y la presi\u00f3n.  * la mejora en la eficiencia se obtiene debido a que le postproceso s\u00f3lo requiere la aproximaci\u00f3n de un problema de stokes, una vez que la integraci\u00f3n temporal se ha completado.  en este trabajo se ha desa<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>The postprocessed mixed finite element method for the navier-stokes equations<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 The postprocessed mixed finite element method for the navier-stokes equations <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Blanca Ayuso De Dios <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 09\/10\/2003<\/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  Bosco Garc\u00eda Archilla<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: enrique Zuazua iriondo <\/li>\n<li> De frutos baraja Javier (vocal)<\/li>\n<li>tomas Chacon rebollo (vocal)<\/li>\n<li>david Griffiths (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Blanca Ayuso De Dios La t\u00e9cnica del postproceso surgi\u00f3 en conexi\u00f3n con el llamado \u00abm\u00e9todo galerkin no-lineal\u00bb [&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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