Abstract Isogeometric Analysis (IgA) uses the same class of basis functions for both
representing the geometry of the computational domain and approximating the solution of …

In this work, we study the approximation properties of multipatch dG-IgA methods, that apply
the multipatch Isogeometric Analysis discretization concept and the discontinuous Galerkin …

Head-related transfer functions (HRTFs) describe the directional filtering of the incoming
sound caused by the morphology of a listener's head and pinnae. When an accurate model …

We propose a new discontinuous Galerkin (dG) isogeometric analysis (IgA) technique for
the numerical solution of elliptic diffusion problems in computational domains decomposed …

The Laplace eigenvalue problem on circular sectors has eigenfunctions with corner
singularities. Standard methods may produce suboptimal approximation results. To address …

In this paper, we consider numerical methods for nonlinear diffusion problems where the
diffusion term follows a power law, eg, p-Laplace-type problems. In the first part, we present …

The Laplace eigenvalue problem on circular sectors has eigenfunctions with corner
singularities. Standard methods may produce suboptimal approximation results. To address …

In this paper we apply the INTERNODES method to solve second order elliptic problems
discretized by Isogeometric Analysis methods on non-conforming multiple patches in 2D …

Simple diffusion consists in propagating some data or computation to every unit in a network
by spreading it from one unit to its neighbors, which in their turn spread it to the neighbors …

In this paper, a structured mesh based B-Spline finite elements (BSFE) method combining
the isogeometry analysis technique is developed for analyzing crack problems. The BSFE is …