efficient topology optimization in matlab using 88 lines of code.pdf

Noname manuscript No. (will be inserted by the editor) Efficient topology optimization in MATLAB using 88 lines of code Erik Andreassen · Anders Clausen · Mattias Schevenels · Boyan S. Lazarov · Ole Sigmund Received: date / Accepted: date Abstract The paper presents an efficient 88 line MATLAB line topology optimization code (Sigmund, 2001). The 99 code for topology optimization. It has been developed using line code is intended for educational purposes and serves the 99 line code presented by Sigmund (2001) as a starting as an introductory example to topology optimization for point. The original code has been extended by a density students and newcomers to the field. The use of MATLAB, filter, and a considerable improvement in efficiency has been with its accessible syntax, excellent debugging tools, and achieved, mainly by preallocating arrays and vectorizing extensive graphics handling opportunities, allows the user loops. A speed improvement with a factor of 100 is obtained to focus on the physical and mathematical background for a benchmark example with 7500 elements. Moreover, of the optimization problem without being distracted by the length of the code has been reduced to a mere 88 technical implementation issues. Other examples of simple lines. These improvements have been accomplished without MATLAB code used to provide insight in finite element sacrificing the readability of the code. The 88 line code can analysis or topology optimization include a finite element therefore be considered as a valuable successor to the 99 line code for the solution of elliptic problems with mixed code, providing a practical instrument that may help to ease boundary conditions on unstr