A gradient-based shape optimization scheme using an Interface-enriched Generalized
Finite Element Method (IGFEM) is presented wherein the design geometry is projected onto …

This article presents a finite element method on a fixed mesh for solving a group of inverse
geometric problems for recovering the material interface of a linear elasticity system. A …

The paper deals with optimization of the acoustic band gaps computed using the
homogenized model of strongly heterogeneous elastic composite which is constituted by …

We present a new fixed mesh method for solving a class of interface inverse problems for
the typical elliptic interface problems. These interface inverse problems are formulated as …

This paper presents stochastic fracture mechanics analysis of linear-elastic cracked
structures subjected to mixed-mode (modes I and II) loading conditions using fractal finite …

Abstract Three‐dimensional (3D) thin‐walled panels belong to a kind of lightweight
structures that are widely used in aeronautic and aerospace engineering. This paper deals …

This dissertation consists of three studies of immersed finite element (IFE) methods for inter-
face problems related to partial differential equations (PDEs) with discontinuous coefficients …

Shape Optimization using conventional interface‐fitted finite element method requires either
mesh morphing or remeshing, which is computationally expensive and prone to errors due …

Stress sensitivity analysis constitutes an essential problem in gradient-based structural
shape optimization. Unlike the traditional grid perturbation method (GPM), a general …

Evolutionary methods are a powerful and robust tool for the solution of structural shape
optimization problems. Nevertheless, the use of these methods requires the structural …