{"id":21,"date":"2017-08-21T21:07:47","date_gmt":"2017-08-22T00:07:47","guid":{"rendered":"http:\/\/blog.ufes.br\/isaacsantos\/?page_id=21"},"modified":"2020-03-03T22:18:58","modified_gmt":"2020-03-04T01:18:58","slug":"elementos-finitos-mestrado-ppgi","status":"publish","type":"page","link":"https:\/\/blog.ufes.br\/isaacsantos\/ensino\/elementos-finitos-mestrado-ppgi\/","title":{"rendered":"Elementos Finitos"},"content":{"rendered":"

Curso<\/strong>:<\/h1>\n

Mestrado e Doutorado em Ci\u00eancia da Computa\u00e7\u00e3o (Per\u00edodo 2017\/2)<\/p>\n

Hor\u00e1rio das aulas<\/strong>:<\/h1>\n

segunda feira: 13:00 – 17:00 horas – CT VI – Sala 114<\/p>\n

Programa da disciplina<\/strong>:<\/h2>\n
    \n
  1. Aproxima\u00e7\u00e3o polinomial por partes em 1D\n
      \n
    1. Espa\u00e7os de fun\u00e7\u00f5es polinomiais por partes<\/li>\n
    2. Interpola\u00e7\u00e3o<\/li>\n
    3. Proje\u00e7\u00e3o L2<\/li>\n
    4. Implementa\u00e7\u00e3o Computacional<\/li>\n<\/ol>\n<\/li>\n
    5. O m\u00e9todo de elementos finitos em 1D\n
        \n
      1. O MEF para um problema modelo<\/li>\n
      2. Modelagem matem\u00e1tica<\/li>\n
      3. Problema modelo com coeficientes vari\u00e1veis<\/li>\n
      4. Implementa\u00e7\u00e3o Computacional<\/li>\n
      5. MEF adaptativo<\/li>\n<\/ol>\n<\/li>\n
      6. Aproxima\u00e7\u00e3o polinomial por partes em 2D\n
          \n
        1. Malhas<\/li>\n
        2. Espa\u00e7o de fun\u00e7\u00f5es polinomiais por partes<\/li>\n
        3. Interpola\u00e7\u00e3o<\/li>\n
        4. Proje\u00e7\u00e3o L2<\/li>\n
        5. Implementa\u00e7\u00e3o Computacional<\/li>\n<\/ol>\n<\/li>\n
        6. O m\u00e9todo de elementos finitos em 2D\n
            \n
          1. F\u00f3rmula de Green<\/li>\n
          2. O MEF para equa\u00e7\u00e3o de Poisson<\/li>\n
          3. An\u00e1lise matem\u00e1tica b\u00e1sica do MEF<\/li>\n
          4. Implementa\u00e7\u00e3o Computacional<\/li>\n
          5. MEF adaptativo<\/li>\n<\/ol>\n<\/li>\n
          6. Problemas dependentes do tempo\n
              \n
            1. M\u00e9todos de diferen\u00e7as finitas para sistemas de EDOs<\/li>\n
            2. A equa\u00e7\u00e3o do calor<\/li>\n
            3. Estimativas de estabilidade<\/li>\n
            4. Estimativas de erro a priori<\/li>\n
            5. Implementa\u00e7\u00e3o Computacional<\/li>\n
            6. MEF espa\u00e7o-tempo<\/li>\n
            7. A equa\u00e7\u00e3o da onda<\/li>\n
            8. Implementa\u00e7\u00e3o Computacional<\/li>\n<\/ol>\n<\/li>\n
            9. O Problema de Transporte\n
                \n
              1. A equa\u00e7\u00e3o de transporte<\/li>\n
              2. Formula\u00e7\u00f5es estabilizadas<\/li>\n
              3. Estimativas de erro a priori<\/li>\n
              4. Implementa\u00e7\u00e3o Computacional<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                <\/p>\n

                Software e Linguagens de programa\u00e7\u00e3o<\/h1>\n
                  \n
                1. Matlab (PDE-tool box)<\/a> ou Octave<\/a><\/li>\n
                2. FreeFem++<\/a><\/li>\n
                3. Fenics<\/a><\/li>\n<\/ol>\n

                  Avalia\u00e7\u00e3o<\/h1>\n
                    \n
                  1. 2 provas<\/li>\n
                  2. 2 trabalhos computacionais<\/li>\n
                  3. Listas de exerc\u00edcios<\/li>\n<\/ol>\n

                    Links interessantes<\/h1>\n
                      \n
                    1. DistMesh – A Simple Mesh Generator in MATLAB<\/a><\/li>\n
                    2. Filmes\/simula\u00e7\u00f5es Num\u00e9ricas<\/a> (Prof. Per-Olof Persson, UC Berkeley Mathematics)<\/li>\n<\/ol>\n

                      Refer\u00eancias Bibliogr\u00e1ficas<\/h1>\n
                        \n
                      1. Larson, M. G. and Bengzon, F. The Finite Element Method: Theory, Implementation, and Applications<\/em><\/a>. Springer, 2013<\/li>\n
                      2. Claes Johnson. Numerical Solution of Partial Differential Equations by the Finite Element Method<\/em><\/a>. Dover Publication, 2009.<\/li>\n
                      3. Mark S. Gockenbach. Understanding and implementing the finite element method<\/em><\/a>. Society for Industrial and Applied Mathematics (SIAM), 2006.<\/li>\n
                      4. \n
                      5. T.J.R. Hughes. The Finite Element Method<\/a>.<\/em> Prentice-Hall, NJ, 1987.<\/li>\n
                      6. J. T. Oden, E. B. Becker, G. F. Carey. Finite Elements: An Introduction<\/em><\/a>. Vol 1, Prentice\u00ad Hall, 1981.<\/li>\n
                      7. Jean Donea and Antonio Huerta. Finite Element Methods for Flow Problems<\/a>.<\/em> John Wiley & Sons, 2003.<\/li>\n
                      8. \n
                      9. Susanne C. Brenner and L. R. Scott. The Mathematical Theory of Finite Element Methods<\/em>. Springer, 3a edi\u00e7\u00e3o, 2008.<\/li>\n
                      10. P. Ciarlet. The finite element method for elliptic problems<\/em>. Classics in Applied Mathematics, SIAM, 2002.<\/li>\n
                      11. \n
                        A. Ern and J. L. Guermond. Theory and Practice of Finite Elements<\/em>. Springer, 2004.<\/div>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

                        Curso: Mestrado e Doutorado em Ci\u00eancia da Computa\u00e7\u00e3o (Per\u00edodo 2017\/2) Hor\u00e1rio das aulas: segunda feira: 13:00 – 17:00 horas – CT VI – Sala 114 Programa da disciplina: Aproxima\u00e7\u00e3o polinomial por partes em 1D Espa\u00e7os de fun\u00e7\u00f5es polinomiais por partes … Continue lendo →<\/span><\/a><\/p>\n","protected":false},"author":279,"featured_media":0,"parent":73,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"_uag_custom_page_level_css":"","footnotes":""},"class_list":["post-21","page","type-page","status-publish","hentry"],"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"post-thumbnail":false,"large-feature":false,"small-feature":false},"uagb_author_info":{"display_name":"Isaac","author_link":"https:\/\/blog.ufes.br\/isaacsantos\/author\/isaac_pinheiro-dos-santos\/"},"uagb_comment_info":0,"uagb_excerpt":"Curso: Mestrado e Doutorado em Ci\u00eancia da Computa\u00e7\u00e3o (Per\u00edodo 2017\/2) Hor\u00e1rio das aulas: segunda feira: 13:00 – 17:00 horas – CT VI – Sala 114 Programa da disciplina: Aproxima\u00e7\u00e3o polinomial por partes em 1D Espa\u00e7os de fun\u00e7\u00f5es polinomiais por partes … Continue lendo →","_links":{"self":[{"href":"https:\/\/blog.ufes.br\/isaacsantos\/wp-json\/wp\/v2\/pages\/21","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.ufes.br\/isaacsantos\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blog.ufes.br\/isaacsantos\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blog.ufes.br\/isaacsantos\/wp-json\/wp\/v2\/users\/279"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.ufes.br\/isaacsantos\/wp-json\/wp\/v2\/comments?post=21"}],"version-history":[{"count":18,"href":"https:\/\/blog.ufes.br\/isaacsantos\/wp-json\/wp\/v2\/pages\/21\/revisions"}],"predecessor-version":[{"id":686,"href":"https:\/\/blog.ufes.br\/isaacsantos\/wp-json\/wp\/v2\/pages\/21\/revisions\/686"}],"up":[{"embeddable":true,"href":"https:\/\/blog.ufes.br\/isaacsantos\/wp-json\/wp\/v2\/pages\/73"}],"wp:attachment":[{"href":"https:\/\/blog.ufes.br\/isaacsantos\/wp-json\/wp\/v2\/media?parent=21"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}