# Software Listing of Author : "Jan Valdman"

Software to paper (please cite when using the software) Leszek Marcinkowski, Talal Rahman and Jan Valdman, A 3D Crouzeix-Raviart mortar finite element. Computing 86, No. 4, 313-330 (2009) download: http://www.springerlink.com/content/p8nx4573480hm98h/?p=31e284c1655141f691369102e361c9a4&pi=1 This solves the Poisson problem in the domain Omega= (0,1) x (0,1) x (-1,1) assuming the volume force equal to 3 pi*pi* sin(pi*x) sin(pi*y) sin(pi*z) and the zero Dirichlet conditions. The discrete solution is computed on two equal subdomains, Omega1= (0,1) x (0,1) x (0,1), Omega2= (0,1) x (0,1) x (-1,0) using 3D Crouzeix-Raviart mortar finite element method. The subdomains are triangulated using different regular triangulation in tetrahedrons. Therefore, there are no matching grids across the intersection plane z=0. To "connect" both...

• Platform: Matlab, Scripts

Given a conforming triangulation as as matrix of vertices numbers corresponding to each triangular element , the algorithm generates and numbers edges of triangulation, so that edges shared by two elements are counted only once. It also generates list of edges belonging to each triangle a list of elements sharing the same edge. Knowledge of edges is useful e.g. for the implementation of adaptive mesh refinements and edge-based finite elements such as Raviart-Thomas, Crouzeix-Raviart or Nedelec elements. To test the functionality of the algorithm, run "test.m". Performance of my notebook: 2D triangulation: 524288 elements, 263169 nodes --> 787456 edges numbered. Time= 1.23 seconds. 3D triangulation: 196608 elements, 35937 nodes --> 238688 edges numbered. Time= 1.12 seconds.

• Platform: Matlab, Scripts

This code demonstrates vectorization concepts from a report by Talal Rahman and Jan Valdman on Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements Technical report is available at http://www.mis.mpg.de/publications/other-s...eport-1111.html To run the code, call "start_assembly_P1_3D" or "start_assembly_P1_2D" in the Matlab window (for 3D or 2D cases) Considering a given 3D or 2D triangulation, mass and stiffness matrices corresponding to linear nodal elements are generated in an efficient vectorized and fast way. Recently, functionality was extended to generate mass and stiffness matrices for a (vector) linear elasticity problem. To run the code, call "start_assembly_P1_3D_elasticity" or "start_assembly_P1_2D_elasticity"

• Platform: Matlab, Scripts

2D elastoplasticity solver for a time dependent two-yied model, which generalizes a classical model of linear kinematic hardening and features a hysteresis behaviour. This is an updated version of Jan Valdman's code from his PhD thesis on Mathematical and Numerical Analysis of Elastoplastic Material with Multi-Surface Stress-Strain Relation submited at 2001 at the Christian-Albrechts-University of Kiel, Germany. To run the code, type "start" to generate a hysteresis curve describing the behaviour of the elastoplastic continuum under periodical time-dependent traction forces. More details and related publications are provided at http://sites.google.com/site/janvaldman/software .

• Platform: Matlab, Scripts
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