A crack propagation modelling technique combining the scaled boundary finite element
method and quadtree meshes is developed. This technique automatically satisfies the …

This paper investigates two approaches for the handling of hanging nodes in the framework
of extended finite element methods (XFEM). Allowing for hanging nodes, locally refined …

Techniques are now available to generate high-quality polyhedral elements offering a good
alternative way for accurate stress analysis for solids. However, distorted polyhedral …

In this paper, we propose an adaptive finite element algorithm for the numerical solution of a
class of nonlocal models which correspond to nonlocal diffusion equations and linear scalar …

While the mimetic finite-difference method shares many similarities with the finite-element
and finite-volume methods, it has the advantage of naturally accommodating grids with …

For finite element analysis of structures with irregular geometry, unsatisfactory meshing
quality could be the major concern. Adaptive meshing technique is usually applied to …

In this study, an adjoint-based hp-adaptation algorithm has been developed within a Petrov–
Galerkin finite-element method. The developed mesh adaptation algorithm is able to perform …

This is the second paper out of a series of papers devoted to model-and hpq-adaptive finite
element methods assigned for the modeling and analysis of elastic structures of complex …

One of the techniques to optimize the gradient-based inversion of geophysical gravity data is
to deal with the large and dense Jacobian matrices implicitly. This is made possible by …

This paper presents a fluid topology optimization method utilizing a quadtree scaled
boundary finite element method (SBFEM). The method aims to minimize energy dissipation …