{"id":112,"date":"2017-07-13T22:33:46","date_gmt":"2017-07-14T01:33:46","guid":{"rendered":"http:\/\/www2.uesb.br\/professor\/mbortoloti\/?page_id=112"},"modified":"2024-02-14T16:38:39","modified_gmt":"2024-02-14T19:38:39","slug":"pesquisa","status":"publish","type":"page","link":"https:\/\/www2.uesb.br\/professor\/mbortoloti\/?page_id=112","title":{"rendered":"Research"},"content":{"rendered":"<h3>Research Interests<\/h3>\n<ul>\n<li>Mathematical Analysis of Finite Elements Methods for Nonlinear Elliptic Problems<\/li>\n<li>Computational and Mathematical Modelling of Pseudoplastic Human Blood<\/li>\n<li>Finite Element Methods applied to Partial Fractionary Differential Equations<\/li>\n<li>Newton&#8217;s method on Riemannian Manifolds<\/li>\n<\/ul>\n<h3>Publications<\/h3>\n<ol>\n<li>Bortoloti, M. A. A., Fernandes, T. A., Ferreira,\u00a0<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0377042721004763\">An efficient damped Newton-type algorithm with globalization strategy on Riemannian manifolds<\/a>, Journal of Computational and Applied Mathematics, 2022. <a href=\"http:\/\/www2.uesb.br\/professor\/mbortoloti\/wp-content\/uploads\/2020\/08\/public_codes.zip\">Matlab Codes<\/a><\/li>\n<li>Bortoloti, M. A. A., Fernandes, T. A., Ferreira,\u00a0<a href=\"https:\/\/arxiv.org\/abs\/2008.06557\" target=\"_blank\" rel=\"noopener\">On the globalization of Riemannian Newton method<\/a>, 2020. <a href=\"http:\/\/www2.uesb.br\/professor\/mbortoloti\/wp-content\/uploads\/2020\/08\/public_codes.zip\">Matlab Codes<\/a><\/li>\n<li>Bortoloti, M. A. A., Fernandes, T. A., Ferreira, O. P., Yun, Y. J., <a href=\"http:\/\/em.rdcu.be\/ls\/click?upn=1VX9wGiUV7k-2FG8imEHteF3ZDgOS-2BjCLiL7cAIIUH7d4-3DmVkY_MKnmsGc7zuyMDE8rIATqeiSka0RkfPFliOhn384Ad4vsCWVucp4G8ozTmFIGeWP3Z5Yb0YPgwy0oEjjjHCOAXX6bEpr3iuml195raGbCFr7Jrf9ajCyfilM-2B583-2F-2BmVxbAbBXcSzRH4Y9AaYygq1bZvHebnvlxo32-2BsnvaYNo7zjev5yMbxkLkYzIGrgysbBTNJOwvMnDIBZYivyR-2BBaYlomyu3KB10YI319foH-2FKF3aMYMushEWDaEMLlfWkwQt9dXsxrvUerc43WA1ftZNZB8Emq0OvvAemlp6jLVVu-2Bv2SoPH0L2qQtWNkXGtJebI\">Damped Newton&#8217;s Method on Riemanian Manifolds<\/a>, Journal of Global Optimization, 2020. <a href=\"http:\/\/www2.uesb.br\/professor\/mbortoloti\/wp-content\/uploads\/2019\/05\/public_codes.zip\">Matlab Codes<\/a>.<\/li>\n<li>Bortoloti, M. A. de A.; Karam-Filho, J., <span class=\"NLM_article-title hlFld-title\"><a href=\"http:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/00036811.2015.1009900?journalCode=gapa20\">A stabilized finite element analysis for a power-law pseudoplastic Stokes problem<\/a>. Applicable Analysis: An International Journal. v 95(2), p. 467-482, 2015.<br \/>\n<\/span><\/li>\n<li>Bortoloti, M.A. de A.; Karam Filho, J., <span style=\"font-family: Verdana; font-size: large;\"><span style=\"font-family: Verdana; font-size: large;\"><a href=\"http:\/\/www.scielo.br\/scielo.php?script=sci_arttext&amp;pid=S1807-03022012000100002\">A stabilized finite element method to pseudoplastic flow governed by the Sisko relation<\/a>. Computational &amp; Applied Mathematics.<\/span><\/span> v 31(1), p. 19-35, 2012. (<a href=\"http:\/\/www.scielo.br\/pdf\/cam\/v31n1\/a02v31n1.pdf\">pdf<\/a>)<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Research Interests Mathematical Analysis of Finite Elements Methods for Nonlinear Elliptic Problems Computational and Mathematical Modelling of Pseudoplastic Human Blood Finite Element Methods applied to Partial Fractionary Differential Equations Newton&#8217;s method on Riemannian Manifolds Publications Bortoloti, M. A. A., Fernandes, T. A., Ferreira,\u00a0An efficient damped Newton-type algorithm with globalization strategy on Riemannian manifolds, Journal of &hellip; <a href=\"https:\/\/www2.uesb.br\/professor\/mbortoloti\/?page_id=112\" class=\"more-link\">Continue lendo<span class=\"screen-reader-text\"> &#8220;Research&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-112","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www2.uesb.br\/professor\/mbortoloti\/index.php?rest_route=\/wp\/v2\/pages\/112","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www2.uesb.br\/professor\/mbortoloti\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www2.uesb.br\/professor\/mbortoloti\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www2.uesb.br\/professor\/mbortoloti\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www2.uesb.br\/professor\/mbortoloti\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=112"}],"version-history":[{"count":36,"href":"https:\/\/www2.uesb.br\/professor\/mbortoloti\/index.php?rest_route=\/wp\/v2\/pages\/112\/revisions"}],"predecessor-version":[{"id":1043,"href":"https:\/\/www2.uesb.br\/professor\/mbortoloti\/index.php?rest_route=\/wp\/v2\/pages\/112\/revisions\/1043"}],"wp:attachment":[{"href":"https:\/\/www2.uesb.br\/professor\/mbortoloti\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=112"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}