Design sensitivity plays a critical role in inverse and identification studies, as well as
numerical optimization, and reliability analysis. Herein, we review the state of design …

Topology optimization has evolved rapidly since the late 1980s. The optimization of the
geometry and topology of structures has a great impact on its performance, and the last two …

Optimal shape design of structural elements based on boundary variations results in final
designs that are topologically equivalent to the initial choice of design, and general, stable …

The boundary element method (BEM) is a modern numerical technique, which has enjoyed
increasing popularity over the last two decades, and is now an established alternative to …

Structural design sensitivity analysis concerns the relationship between design variables
available to the design engineer and structural responses determined by the laws of …

This paper is a survey of structural shape optimization with an emphasis on techniques
dealing with shape optimization of the boundaries of two-and three-dimensional bodies …

Isogeometric analysis (IGA), an approach that integrates CAE into conventional CAD design
tools, has been used in structural optimization for 10 years, with plenty of excellent research …

The present paper reviews recent developments in two major areas of structural sensitivity
analysis: sensitivity of static and transient response; and sensitivity of vibration and buckling …

Numerical and analytical methods for shape optimization of structures are reviewed. Several
steps in the shape optimization process, such as model description, selection of the …

The present work addresses shape sensitivity analysis and optimization in two‐dimensional
elasticity with a regularized isogeometric boundary element method (IGABEM). Non‐uniform …