{"id":51792,"date":"2021-11-16T01:25:09","date_gmt":"2021-11-16T01:25:09","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/cuadratura-mediante-interpolacion-en-metodos-galerkin-no-lineales\/"},"modified":"2021-11-16T01:25:09","modified_gmt":"2021-11-16T01:25:09","slug":"cuadratura-mediante-interpolacion-en-metodos-galerkin-no-lineales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/cuadratura-mediante-interpolacion-en-metodos-galerkin-no-lineales\/","title":{"rendered":"Cuadratura mediante interpolacion en metodos galerkin no lineales"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Abia Llera Luis M. <\/strong><\/h2>\n<p>Se analizan aspectos teoricos y computacionales del uso de interpelacion para la aproximacion de terminos no lineales en el metodo de elementos finitos  tecnica que se conoce con el nombre de aproximacion producto. En primer lugar se analiza teoricamente la aproximacion producto en elacion con problemas elipticos no lineales mediante la consideracion de un problema modelo unidimensional. Se demuestra que la aproximacion producto retiene los ordenes de convergencia optimos en h  y l .  se describe igualmente el uso de reglas de cuadratura como una alternativa al uso de interpolcion  en la evaluacion de terminos no lineales en esquemas galerkin.  finalmente  se desarrolla una coleccion de programas que implementan ambas tecnicas y se presentan resultados de la experimentacion numerica llevada a cabo con ellos.  tras el analisis y confrontacion con las previsiones teoricas de dichos resultados  se exponen conclusiones finales sobre las ventajas e inconvenientes del metodo de aproximacion producto.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Cuadratura mediante interpolacion en metodos galerkin no lineales<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Cuadratura mediante interpolacion en metodos galerkin no lineales <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Abia Llera Luis M. <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1983<\/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> Sanz Serna Jes\u00fas M.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jes\u00fas Mar\u00eda Sanz Serna <\/li>\n<li>Mar\u00eda no Gasca Gonzalez (vocal)<\/li>\n<li> Gutierrez Suarez Juan  Jos\u00e9 (vocal)<\/li>\n<li>Manuel Calvo Pinilla (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Abia Llera Luis M. Se analizan aspectos teoricos y computacionales del uso de interpelacion para la aproximacion [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[1191,26225,126,12451],"tags":[53382,108387,27823,10210,10209,18044],"class_list":["post-51792","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-cuadratura","category-matematicas","category-valladolid","tag-abia-llera-luis-m","tag-gutierrez-suarez-juan-jose","tag-jesus-maria-sanz-serna","tag-manuel-calvo-pinilla","tag-maria-no-gasca-gonzalez","tag-sanz-serna-jesus-m"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/51792","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=51792"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/51792\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=51792"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=51792"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=51792"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}