{"id":16272274,"url":"https://github.com/perinim/vem_grids","last_synced_at":"2025-10-17T13:39:38.292Z","repository":{"id":169098744,"uuid":"540454227","full_name":"PeriniM/VEM_Grids","owner":"PeriniM","description":"MATLAB Implementation of Polygonal Grids for VEM Applications","archived":false,"fork":false,"pushed_at":"2022-10-11T10:30:22.000Z","size":2016,"stargazers_count":2,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-02-14T12:18:06.246Z","etag":null,"topics":["analysis","fea","fem","grid","mechanical-engineering","polygons","vem","voronoi"],"latest_commit_sha":null,"homepage":"","language":"MATLAB","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/PeriniM.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2022-09-23T13:31:03.000Z","updated_at":"2024-11-12T00:39:11.000Z","dependencies_parsed_at":null,"dependency_job_id":"42f96607-3cc1-4c77-b330-daee854c7613","html_url":"https://github.com/PeriniM/VEM_Grids","commit_stats":null,"previous_names":["perinim/vem_grids"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/PeriniM%2FVEM_Grids","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/PeriniM%2FVEM_Grids/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/PeriniM%2FVEM_Grids/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/PeriniM%2FVEM_Grids/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/PeriniM","download_url":"https://codeload.github.com/PeriniM/VEM_Grids/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":247874656,"owners_count":21010721,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["analysis","fea","fem","grid","mechanical-engineering","polygons","vem","voronoi"],"created_at":"2024-10-10T18:17:07.755Z","updated_at":"2025-10-17T13:39:33.259Z","avatar_url":"https://github.com/PeriniM.png","language":"MATLAB","funding_links":[],"categories":[],"sub_categories":[],"readme":"# Polygonal grids for Virtual Elements Method (VEM) \n\n## Abstract\nVirtual Elements Method, unlike FEM, works with any kind of grid elements, from regular to non-regular shapes. Since it is a research field, there are not many resources and experimental grids need to be created to test this new algorithm. This method can be used to mesh very rough surfaces (like a rock with many irregular spikes and holes) and, from initial tests, faster than FEM on solving systems of partial differential equations.\n\n## Github repo\nList of Matlab scripts that generates polygonal (regular and irregular) grids with particular requirements to be used in VEM solvers.\n\n## Presentation Slides\n![Slide1](presentation_slides/Slide1.JPG?raw=true \"Slide1\")\n![Slide2](presentation_slides/Slide2.JPG?raw=true \"Slide2\")\n![Slide3](presentation_slides/Slide3.JPG?raw=true \"Slide3\")\n![Slide4](presentation_slides/Slide4.JPG?raw=true \"Slide4\")\n![Slide5](presentation_slides/Slide5.JPG?raw=true \"Slide5\")\n![Slide1](presentation_slides/Slide6.JPG?raw=true \"Slide6\")\n![Slide2](presentation_slides/Slide7.JPG?raw=true \"Slide7\")\n![Slide3](presentation_slides/Slide8.JPG?raw=true \"Slide8\")\n![Slide4](presentation_slides/Slide9.JPG?raw=true \"Slide9\")\n![Slide5](presentation_slides/Slide10.JPG?raw=true \"Slide10\")\n![Slide1](presentation_slides/Slide11.JPG?raw=true \"Slide11\")\n![Slide2](presentation_slides/Slide12.JPG?raw=true \"Slide12\")\n![Slide3](presentation_slides/Slide13.JPG?raw=true \"Slide13\")\n![Slide4](presentation_slides/Slide14.JPG?raw=true \"Slide14\")\n![Slide5](presentation_slides/Slide15.JPG?raw=true \"Slide15\")\n![Slide1](presentation_slides/Slide16.JPG?raw=true \"Slide16\")\n![Slide2](presentation_slides/Slide17.JPG?raw=true \"Slide17\")\n\n## Fast way to create custom grids\nI have created a simple online platform to build custom shape to be arrange into a grid. You can then export the new shapes in a CSV file for further manipulation. In the \u003ci\u003ematlab\u003c/i\u003e folder in the following repo you can find a script that takes as input the CSV shape and outputs a NxM grid. \u003c/br\u003e\n[createGrid() repo](https://github.com/PeriniM/createGrid)\n\n## Useful Links\n[Hexagons Explanation](https://www.redblobgames.com/grids/hexagons/) \u003c/br\u003e\n[Pentagonal Tilings](https://commons.wikimedia.org/wiki/Category:Pentagonal_tilings) \u003c/br\u003e\n[An Introduction to Virtual Elements Method](https://www.maths.dur.ac.uk/lms/101/talks/0493daveiga.pdf) \u003c/br\u003e\n[Matlab Documentation](https://it.mathworks.com/help/matlab/index.html?s_tid=CRUX_topnav) \u003c/br\u003e\n[Mesh Refinement](https://www.comsol.it/multiphysics/mesh-refinement) \u003c/br\u003e\n\n\n\n\n\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fperinim%2Fvem_grids","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fperinim%2Fvem_grids","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fperinim%2Fvem_grids/lists"}