Isogeometric analysis (IGA) represents a recently developed technology in computational
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …

We develop an IGA collocation method modified by collocating at points other than the
standard Greville abscissae. The method is related to orthogonal collocation used for …

We propose an isogeometric collocation approach to an efficient solution of the
monodomain reaction–diffusion equation. The strong formulation, compared to standard …

In isogeometric analysis (IGA) the domain of interest is usually represented by B-spline or
NURBS patches, as they are present in standard CAD models. Complex domains can often …

This paper presents a novel backtracking strategy for additive Schwarz methods for general
convex optimization problems as an acceleration scheme. The proposed backtracking …

Isogeometric collocation methods have been introduced as an alternative to isogeometric
Galerkin formulations, aiming at improving the computational cost of simulation by reducing …

We present and study an overlapping additive Schwarz preconditioner for the isogeometric
discretization of a reaction–diffusion system modeling the heart bioelectrical activity, known …

We present optimal additive and multiplicative multilevel methods, such as BPX
preconditioner and multigrid V-cycle, for the solution of linear systems arising from …

Generalizing the concept of Bézier extraction, we introduce an extraction operator that links
C 0 Gauss–Lobatto Lagrange functions with smooth splines. This opens the door for …

The isogeometric least-squares collocation method (IGA-L) is an effective numerical
technique for solving partial differential equations (PDEs), which utilizes the non-uniform …