batmanabcdefg / vemlab

VEMLab: a MATLAB library for the virtual element method

VEMLab: a MATLAB library for the virtual element method

This repository contains the code for an open source MATLAB library for the virtual element method.

Features

• Two-dimensional linear elastostatics (plane strain and plane stress) and two-dimensional Poisson problem.
   
• Solution methods: Linear VEM (polygonal elements), FEM (3-node triangles, 4-node quadrilateral).
   
• Boundary conditions: Dirichlet, Neumann on boundary edges; can be a constant or a function.
     
• Meshers: PolyMesher, distmesh2d, quad4mesh; customized for rectangular domains only (requires adjustments for other domain types).
     
• Meshes need to be generated separately and stored inside folder 'mesh_files' located in  the folder 'test.'
   
• Meshes must be generated with the functions 'create_' located in the folder 'mesher.'
   
• Solutions can be plotted to MATLAB figures, text files, GiD files and VTK files.
 

Author

Alejandro Ortiz-Bernardin

Running VEMLab

VEMLab is a library. You need to create a main .m file and place it inside the 'test' folder. The main file has the typical structure of a FEM simulation. Simply follow the test problems (with comments) that are provided inside the folder 'test' to wrote your own .m files or modify the ones provided.

License

This project is licensed under the GPL3 License. This program is free software; it can be redistributed or modified under the terms of the GNU General Public License 3 as published by the Free Software Foundation.