{"id":140587,"date":"2026-01-12T17:55:57","date_gmt":"2026-01-12T17:55:57","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/interpolacion-de-superficies-parametricas-con-discontinuidades-mediante-elementos-finitos-aplicaciones\/"},"modified":"2026-01-12T17:55:57","modified_gmt":"2026-01-12T17:55:57","slug":"interpolacion-de-superficies-parametricas-con-discontinuidades-mediante-elementos-finitos-aplicaciones","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/interpolacion-de-superficies-parametricas-con-discontinuidades-mediante-elementos-finitos-aplicaciones\/","title":{"rendered":"Interpolacion de superficies parametricas con discontinuidades mediante elementos finitos. aplicaciones."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Torrens I\u00f1igo Juan  Jose <\/strong><\/h2>\n<p>Esta tesis se centra en el estudio de un metodo, basado en el uso de elementos finitos (e.F.) De tipo hermite, para interpolar una superficie definida por una parametrizacion discontinua a partir de las coordenadas de los vertices de una red curvilinea. Tras considerar varias cuestiones sobre espacios de funciones no regulares y la teoria de e.F., Se aborda el examen del metodo de interpolacion, que consiste en: hallar una parametrizacion uniforme gn de los datos, construir un adecuado espacio vn de e.F. Sobre el dominio de gn a partir del e.F. Generico de bogner-fox-schmit, y aproximar gn mediante una combinacion lineal de las funciones de base vn cuyos coeficientes se calculan mediante formulas de derivacion numerica. Se estudia con detenimiento el error de interpolacion, se deduce la convergencia del metodo, y se muestran algunos ejemplos numericos y graficos. Concluye la tesis con dos aplicaciones de este procedimiento de interpolacion en la geolog\u00eda (aproximacion de una falla inversa) y en el cad (modelado de objetos con orificios). A fin de lograr una representacion grafica realista de las superficies obtenidas, se usa el metodo de trazado de rayos, cuyas nociones basicas son tambien expuestas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Interpolacion de superficies parametricas con discontinuidades mediante elementos finitos. aplicaciones.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Interpolacion de superficies parametricas con discontinuidades mediante elementos finitos. aplicaciones. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Torrens I\u00f1igo Juan  Jose <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1992<\/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>Francisco Ser\u00f3n Arbeloa<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Mar\u00eda no Gasca Gonzalez <\/li>\n<li>Jean Laurent Pierre (vocal)<\/li>\n<li> Correas Dobato Jos\u00e9 Manuel (vocal)<\/li>\n<li>Victoriano Ramirez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Torrens I\u00f1igo Juan Jose Esta tesis se centra en el estudio de un metodo, basado en el [&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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