This paper reviews the state of the art and discusses recent developments in the field of
adaptive isogeometric analysis, with special focus on the mathematical theory. This includes …

In the present report some basic issues of and some of the modeling strategies used for
studying static and quasistatic problems in continuum micromechanics of materials are …

A study of structural shape optimization and absorbing material distribution optimization of
noise barrier structures based on the recently proposed isogeometric analysis method with …

This study presents an isogeometric fast multipole boundary element method (IGA FMBEM)
in two-dimensional (2D) acoustics and a related sensitivity-based shape optimization …

Although the unique mechanical and transport features of grain boundaries (GBs) in
polycrystalline ion conductors have been recognized, the understanding of the chemo …

Hierarchical designs have exhibited great potential in reducing structural weight and
improving mechanical properties. However, the hierarchical design of perforated auxetic …

Special integration routines for hypersingular and nearly singular integrals that arise in an
Isogeometric Boundary Element Method (IGABEM) are presented. The IGABEM is applied to …

The unique mechanical properties and transport features of grain boundaries (GBs) in
polycrystalline materials have been widely investigated. However, studies which focus on …

Isogeometric analysis (IGA) coupled with boundary element method, ie IGABEM, received a
lot of attention in recent years. In this paper, we extend the IGABEM to solve 3D potential …

This study presents a combined shape and topology optimization method for designing
sound barriers by using the isogeometric boundary element method. The objective function …