{"id":5920,"date":"2023-09-10T12:57:00","date_gmt":"2023-09-10T11:57:00","guid":{"rendered":"http:\/\/mosaic-modeling.de\/?page_id=5920"},"modified":"2023-09-10T12:57:00","modified_gmt":"2023-09-10T11:57:00","slug":"examples-transformations","status":"publish","type":"page","link":"https:\/\/mosaic-modeling.de\/?page_id=5920","title":{"rendered":"Examples: Transformations"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">On this page<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5924\/#Model-description\" >Model description<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5924\/#Workflow\" >Workflow<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5924\/#Notation-of-the-discretization\" >Notation of the discretization<\/a><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5924\/#Base-names\" >Base names<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5924\/#Indices\" >Indices<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5924\/#Equations-and-equation-system-for-discretization-scheme\" >Equations and equation system for discretization scheme<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5924\/#Transformation\" >Transformation<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5924\/#Discretized-equation-system\" >Discretized equation system<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>In this section, examples for using transformations in MOSAICmodeling are given. The examples are visible to all users and the examples always note the ID of the respective element. Therefore, you can always consult this solution if you do not know how to proceed.<\/p>\n<ul>\n<li><strong>\u201cUse of Transformations I &#8211; Orthogonal Collocation on Finite Elements\u201d<\/strong> explains to use the transformation feature of MOSAICmodeling to transform an ODE into an algebraic equation system according to the discretization scheme orthogonal collocation on finite elements.<\/li>\n<\/ul>\n\n<div id=\"ccchildpages-1\" class=\"ccchildpages ccflex threecol ccblue ccclearfix\"><div class=\"ccchildpage  ccfirst ccodd ccpage-count-1 ccpage-id-5924 ccpage-use-of-transformations-i-orthogonal-collocation-on-finite-elements ccpage-has-parent ccpage-pid-5920 ccpage-parent-examples-transformations\"><h3 class=\"ccpage_title ccpage_linked_title\" title=\"Use of Transformations I \u2013 Orthogonal Collocation on Finite Elements\"><a class=\"ccpage_title_link\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5924\" title=\"Use of Transformations I \u2013 Orthogonal Collocation on Finite Elements\">Use of Transformations I \u2013 Orthogonal Collocation on Finite Elements<\/a><\/h3><div class=\"ccpages_excerpt\">This example demonstrates how to automatically transform an existing ODE...<\/div><p class=\"ccpages_more\"><a href=\"https:\/\/mosaic-modeling.de\/?page_id=5924\"  title=\"Read more ...\">Read more ...<\/a><\/p><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>In this section, examples for using transformations in MOSAICmodeling are given. The examples are visible to all users and the examples always note the ID of the respective element. Therefore, you can always consult this solution if you do not know how to proceed. \u201cUse of Transformations I &#8211; Orthogonal Collocation on Finite Elements\u201d explains [&hellip;]<\/p>\n","protected":false},"author":252,"featured_media":0,"parent":4731,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-5920","page","type-page","status-publish","czr-hentry"],"_links":{"self":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/5920","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/users\/252"}],"replies":[{"embeddable":true,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5920"}],"version-history":[{"count":1,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/5920\/revisions"}],"predecessor-version":[{"id":5921,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/5920\/revisions\/5921"}],"up":[{"embeddable":true,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/4731"}],"wp:attachment":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5920"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}