TY  - EJOU
AU  - Zong, Zihao 
AU  - Shi, Tielin 
AU  - Xia, Qi 

TI  - A Parameter-Free Approach to Determine the Lagrange Multiplier in the Level Set Method by Using the BESO
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2021
VL  - 128
IS  - 1
SN  - 1526-1506

AB  - A parameter-free approach is proposed to determine the Lagrange multiplier for the constraint of material volume in the level set method. It is inspired by the procedure of determining the threshold of sensitivity number in the BESO method. It first computes the difference between the volume of current design and the upper bound of volume. Then, the Lagrange multiplier is regarded as the threshold of sensitivity number to remove the redundant material. Numerical examples proved that this approach is effective to constrain the volume. More importantly, there is no parameter in the proposed approach, which makes it convenient to use. In addition, the convergence is stable, and there is no big oscillation.
KW  - Lagrange multiplier; threshold of sensitivity; BESO method; level set method; topology optimization

DO  - 10.32604/cmes.2021.015975