This review presents developments in structural shape optimization post 2000 from
perspective of numerical analysis techniques. Traditional shape optimization with FEM has …

The boundary element method (BEM) is a powerful tool in computational acoustics, because
the analysis is conducted only on structural surfaces, compared to the finite element method …

Isogeometric analysis (IGA) in the framework of the boundary element method (BEM) is
reviewed in this paper. IGA is a fundamental tool in computational mechanics which enables …

This paper presents an isogeometric shape optimization framework using genetic algorithm
to design 2D auxetic structures with prescribed Poisson's ratio over large tensile or …

In this paper, the main intention is to propose a new Multi-material Isogeometric Topology
Optimization (M-ITO) method for the optimization of multiple materials distribution, where an …

The capability of boundary element methods (BEM) for solving three-dimensional time
harmonic Helmholtz acoustic scattering problems is presented in the framework of the …

In this paper, a new numerical method, named as the Free Element Collocation Method
(FECM), is proposed for solving general engineering problems governed by the second …

Auxetic materials with negative Poisson's ratio have potential applications across a broad
range of engineering fields. Several FE based design techniques have been developed to …

An indirect boundary element method (BEM) based on isogeometric analysis (IGA) is
proposed for 2D Helmholtz acoustic problems using virtual continuous sources placed …

This paper presents an isogeometric shape optimization methodology to widen the band
gap of periodic composite plates by smoothly optimizing its thickness profile. To save the …