A level set method for materials with texturally equilibrated pores

A BINARY LEVEL SET METHOD FOR STRUCTURAL TOPOLOGY OPTIMIZATION

This paper proposes an effective algorithm based on the level set method (LSM) to solve shape and topology optimization problems. Since the conventional LSM has several limitations, a binary level set method (BLSM) is used instead. In the BLSM, the level set function can only take 1 and -1 values at convergence. Thus, it is related to phase-field methods. We don’t need to solve the Hamilton-Jac...

COMPOSITION OF ISOGEOMETRIC ANALYSIS WITH LEVEL SET METHOD FOR STRUCTURAL TOPOLOGY OPTIMIZATION

In the present paper, an approach is proposed for structural topology optimization based on combination of Radial Basis Function (RBF) Level Set Method (LSM) with Isogeometric Analysis (IGA). The corresponding combined algorithm is detailed. First, in this approach, the discrete problem is formulated in Isogeometric Analysis framework. The objective function based on compliance of particular lo...

A Level-set Method for Convex Optimization with A

Large-scale constrained convex optimization problems arise in several application 4 domains. First-order methods are good candidates to tackle such problems due to their low iteration 5 complexity and memory requirement. The level-set framework extends the applicability of first-order 6 methods to tackle problems with complicated convex objectives and constraint sets. Current methods 7 based on...

A Level Set Method for Inverse Problems

A level-set method for shape optimization

We study a level-set method for numerical shape optimization of elastic structures. Our approach combines the level-set algorithm of Osher and Sethian with the classical shape gradient. Although this method is not specifically designed for topology optimization, it can easily handle topology changes for a very large class of objective functions. Its cost is moderate since the shape is captured ...