{"id":78624,"date":"2006-10-02T00:00:00","date_gmt":"2006-10-02T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/analisis-matematico-y-numerico-de-las-ecuaciones-de-maxwell-cuasiestaticas\/"},"modified":"2006-10-02T00:00:00","modified_gmt":"2006-10-02T00:00:00","slug":"analisis-matematico-y-numerico-de-las-ecuaciones-de-maxwell-cuasiestaticas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/analisis-matematico-y-numerico-de-las-ecuaciones-de-maxwell-cuasiestaticas\/","title":{"rendered":"Analisis matematico y numerico de las ecuaciones de maxwell cuasiestaticas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Virginia Selgas Buznego <\/strong><\/h2>\n<p>En esta tesis dise\u00f1amos y analizamos un nuevo m\u00e9todo num\u00e9rico para resolver las ecuaciones de maxwell cuasiestaticas planteadas en r3. Dicho problema modelo se deduce de las ecuaciones de maxwell cuando se desprecian las corrientes de desplazamiento y su uso esta muy generalizado en ingenier\u00eda el\u00e9ctrica.  en una primera etapa, suponemos que los campos (magn\u00e9tico y el\u00e9ctrico) tienen un comportamiento sinusoidal respecto  al tiempo y que el dominio que representa al conductor es simplemente conexo. En esta situaci\u00f3n, obtenemos una formulaci\u00f3n variacional planteada en la regi\u00f3n conductora. Incorporamos la informaci\u00f3n del campo lejano a nuestra formulaci\u00f3n mediante ecuaciones integrales sobre la frontera del dominio computacional. Proponemos para esta formulaci\u00f3n un esquema de galerkin basado en la aplicaci\u00f3n simult\u00e1nea del m\u00e9todo de elementos finitos de arista de nedelec y del m\u00e9todo de elementos de contorno. Probamos que tanto el problema continuo como el discreto est\u00e1n planteados. Demostramos que el esquema num\u00e9rico tiene una convergencia asint\u00f3tica de orden \u00f3ptimo en funci\u00f3n del par\u00e1metro de discrtizaci\u00f3n. Obtenemos resultados num\u00e9ricos que avalan nuestras aserciones te\u00f3ricas.  a continuaci\u00f3n consideramos el caso de un conductor no simplemente conexo. en este caso, introducimos un dominio computacional acotado que contiene la regi\u00f3n de inter\u00e9s (el conductor). Este involucra una restricci\u00f3n lineal sobre el campo magn\u00e9tico, que tratamos introduciendo un multiplicador de lagrange. Obtenemos con esta t\u00e9cnica una formulaci\u00f3n variacional de tipo mixto que aproximamos mediante un m\u00e9todo de galerkin que combina elementos finitos de nedelec y de raviart-thomas. Aqu\u00ed tambi\u00e9n demostramos que las formulaciones continua y discreta tienen soluci\u00f3n \u00fanica y proporcionamos un an\u00e1lisis de convergencia del m\u00e9todo n\u00famero.  finalmente consideramos el problema de evoluci\u00f3n en tiempo sin restricciones topol\u00f3gicas sob<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Analisis matematico y numerico de las ecuaciones de maxwell cuasiestaticas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Analisis matematico y numerico de las ecuaciones de maxwell cuasiestaticas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Virginia Selgas Buznego <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Oviedo<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 10\/02\/2006<\/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>Salim Meddahi Bouras<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Valdes Garc\u00eda Jos\u00e9 javier <\/li>\n<li>Alberto Valli (vocal)<\/li>\n<li> Bermudez de castro alfredo (vocal)<\/li>\n<li>norbert Heuer (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Virginia Selgas Buznego En esta tesis dise\u00f1amos y analizamos un nuevo m\u00e9todo num\u00e9rico para resolver las ecuaciones [&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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