开源软件名称（OpenSource Name）：

开源软件地址(OpenSource Url)：

开源编程语言(OpenSource Language)：

开源软件介绍(OpenSource Introduction)：

topopt-mgcg-matlab

MATLAB codes for efficient 3-D topology optimization Codes use multigrid CG, approximate sensitivity analysis, recycling precoditioners

This repository includes matlab codes that were used in the following papers:

1. Amir, O., Aage, N., & Lazarov, B. S. (2014). On multigrid-CG for efficient topology optimization. Structural and Multidisciplinary Optimization, 49(5), 815-829.
2. Amir, O. (2015). Revisiting approximate reanalysis in topology optimization: on the advantages of recycled preconditioning in a minimum weight procedure. Structural and Multidisciplinary Optimization, 51(1), 41-57.

The codes are now freely available, please reference the relevant publications in your research work.

Three types of codes:

1. top3d*.m = 3-D minimum compliance topopt using MGCG solver:

   a) basic

   b) with sensitivity monitoring

2. minV*.m = 2-D minimum volume topopt:

   a) basic

   b) reanalysis

   c) with matrix-free reanalysis

3. minW3d*.m = 3-D minimum volume topopt using MGCG solver:

   a) basic

   b) matrix-free with recycling preconditioner

   c) matrix-free with recycling preconditioner and sensitivity monitoring

Extensions and improvements are strongly encouraged!!!