{"id":5463,"date":"2023-08-15T15:25:35","date_gmt":"2023-08-15T14:25:35","guid":{"rendered":"http:\/\/mosaic-modeling.de\/?page_id=5463"},"modified":"2023-08-29T19:05:28","modified_gmt":"2023-08-29T18:05:28","slug":"examples-basic-use","status":"publish","type":"page","link":"https:\/\/mosaic-modeling.de\/?page_id=5463","title":{"rendered":"Examples: Use of basic elements"},"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=5721\/#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=5721\/#Model-workflow\" >Model 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=5721\/#Notation\" >Notation<\/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=5721\/#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=5721\/#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=5721\/#Equations\" >Equations<\/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=5721\/#Equation-systems\" >Equation systems<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5721\/#Simulation-workflow\" >Simulation workflow<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5721\/#Equation-systems-and-Indexing\" >Equation systems and Indexing<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5721\/#Specifications-and-solution\" >Specifications and solution<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>In this section, the very basic functionalities of MOSAICmodeling are explained. This means that only mandatory elements are used. 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 Basic Elements I &#8211; Algebraic Equation System\u201d<\/strong> explains how to set up an algebraic equation system.<\/li>\n<li><strong>\u201cUse of Basic Elements II &#8211; Ordinary Differential Equation System\u201d<\/strong> explains how to formulate an ordinary differential equation system, including the specification of initial conditions.<\/li>\n<li><strong>\u201cUse of Basic Elements III &#8211; Orthogonal Collocation on Finite Elements\u201d<\/strong> shows how to implement this discretization method by hand in MOSAICmodeling.<\/li>\n<\/ul>\n<div id=\"ccchildpages-1\" class=\"ccchildpages ccflex threecol ccblue ccclearfix\"><div class=\"ccchildpage  ccfirst ccodd ccpage-count-1 ccpage-id-5469 ccpage-use-of-basic-elements-algebraic-equation-system ccpage-has-parent ccpage-pid-5463 ccpage-parent-examples-basic-use\"><h3 class=\"ccpage_title ccpage_linked_title\" title=\"Use of Basic Elements I &#8211; Algebraic Equation System\"><a class=\"ccpage_title_link\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5469\" title=\"Use of Basic Elements I &#8211; Algebraic Equation System\">Use of Basic Elements I &#8211; Algebraic Equation System<\/a><\/h3><div class=\"ccpages_excerpt\">This first example shall be used to familiarize new users...<\/div><p class=\"ccpages_more\"><a href=\"https:\/\/mosaic-modeling.de\/?page_id=5469\"  title=\"Read more ...\">Read more ...<\/a><\/p><\/div><div class=\"ccchildpage  cceven ccpage-count-2 ccpage-id-5490 ccpage-use-of-basic-elements-ii-ordinary-differential-equation-system ccpage-has-parent ccpage-pid-5463 ccpage-parent-examples-basic-use\"><h3 class=\"ccpage_title ccpage_linked_title\" title=\"Use of Basic Elements II &#8211; Ordinary Differential Equation System\"><a class=\"ccpage_title_link\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5490\" title=\"Use of Basic Elements II &#8211; Ordinary Differential Equation System\">Use of Basic Elements II &#8211; Ordinary Differential Equation System<\/a><\/h3><div class=\"ccpages_excerpt\">This second example shall illustrate the formulation of an ordinary...<\/div><p class=\"ccpages_more\"><a href=\"https:\/\/mosaic-modeling.de\/?page_id=5490\"  title=\"Read more ...\">Read more ...<\/a><\/p><\/div><div class=\"ccchildpage  cclast ccodd ccpage-count-3 ccpage-id-5721 ccpage-use-of-basic-elements-iii-orthogonal-collocation-on-finite-elements ccpage-has-parent ccpage-pid-5463 ccpage-parent-examples-basic-use\"><h3 class=\"ccpage_title ccpage_linked_title\" title=\"Use of Basic Elements III &#8211; Orthogonal Collocation on Finite Elements\"><a class=\"ccpage_title_link\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5721\" title=\"Use of Basic Elements III &#8211; Orthogonal Collocation on Finite Elements\">Use of Basic Elements III &#8211; Orthogonal Collocation on Finite Elements<\/a><\/h3><div class=\"ccpages_excerpt\">This example shows how to implement orthogonal collocation by hand...<\/div><p class=\"ccpages_more\"><a href=\"https:\/\/mosaic-modeling.de\/?page_id=5721\"  title=\"Read more ...\">Read more ...<\/a><\/p><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>In this section, the very basic functionalities of MOSAICmodeling are explained. This means that only mandatory elements are used. 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 Basic [&hellip;]<\/p>\n","protected":false},"author":252,"featured_media":0,"parent":4731,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-5463","page","type-page","status-publish","czr-hentry"],"_links":{"self":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/5463","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=5463"}],"version-history":[{"count":8,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/5463\/revisions"}],"predecessor-version":[{"id":5723,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/5463\/revisions\/5723"}],"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=5463"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}