This paper presents an overview of the singular boundary method (SBM) and its various
engineering applications. The basic concepts of the singular boundary method are first …

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 …

This paper proposes a novel generalized n th order perturbation isogeometric fast multipole
boundary element method for time harmonic wave propagation in infinite domains. The non …

The integration of machine learning (Keplerian paradigm) and more general artificial
intelligence technologies with physical modeling based on first principles (Newtonian …

In this paper, a hybrid quadtree mesh is utilized to solve two-dimensional transient heat
conduction problems with cracks or inclusions. The current approach developed based on …

In this study, a modified multilevel fast multipole algorithm is constructed for investigating
large-scale particle systems. The algorithm expands the number of levels of the modified …

A computational method for optimizing the shape of the centerline curve and the spatial
variation of geometric and material sizing parameters of the cross-sections of elastic, 3 …

Isogeometric analysis with the boundary element method (IGABEM) has recently gained
interest. In this paper, the approximability of IGABEM on 3D acoustic scattering problems will …

A modified multilevel algorithm for solving the excessive storage requirements and ill-
conditioning encountered in the boundary-type discretization method is proposed. The …

We analyze a new approach to three-dimensional electromagnetic scattering problems via
fast isogeometric boundary element methods. Starting with an investigation of the theoretical …