IGA_RDTOP: A compact MATLAB framework for reaction-diffusion-based topology optimization using isogeometric analysis

Isogeometric analysis offers significant advantages in precise geometric representation, higher-order continuity, seamless integration with CAD systems, and improved accuracy for complex geometries in structural topology optimization. However, the complexity of its implementation and the rigorous coding requirements present notable challenges for researchers and students. To tackle this issue, we have developed a concise MATLAB code consisting of just 198 lines that incorporates isogeometric methods into 2D reaction-diffusion-based structural optimization. Furthermore, we introduce a streamlined 3D framework for constructing NURBS-based geometries, performing matrix operations, managing boundary conditions, handling initializations, and visualizing structures. Numerical experiments reveal robust convergence within 30 iterations, surpassing the efficiency of existing public codes. The open-source implementations in this study significantly lower the barrier to entry for isogeometric topology optimization, offering a powerful computational tool and a valuable educational resource.