  This paper discusses level set-based structural optimization. Level set-based
structural optimization is a method used to determine an optimal configuration
for minimizing an objective functional by updating level set functions
characterized as solutions to partial differential equations (PDEs) (e.g.,
Hamilton-Jacobi and reaction-diffusion equations). In this study, based on
Nesterov's accelerated method, a nonlinear (damped) wave equation will be
derived as a PDE satisfied by level set functions and applied to a minimum mean
compliance problem. Numerically, the method developed in this study will yield
convergence to an optimal configuration faster than methods using only a
reaction-diffusion equation, and moreover, its FreeFEM++ code will also be
described.
