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

Isogeometric analysis (IGA) is an effective numerical method for connecting computer-aided
design and engineering, which has been widely applied in various aspects of computational …

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

This paper presents a study of large linear systems resulting from the regular B-splines finite
element discretization of the curl− curl and grad− div elliptic problems on unit square/cube …

Abstract Overlapping Additive Schwarz (OAS) preconditioners are here constructed for
isogeometric collocation discretizations of the system of linear elasticity in both two and …

The isogeometric collocation method (IGA-C), which is a promising branch of isogeometric
analysis (IGA), can be considered fitting the load function with the combination of the …

Generalized B-splines (GB-splines) are a special class of Tchebycheff B-splines that are
smooth piecewise function with sections in more general spaces. GB-splines allow for an …

This paper presents a study of large linear systems resulting from the regular $ B $-splines
finite element discretization of the $\bm {curl}-\bm {curl} $ and $\bm {grad}-div $ elliptic …

The ability to manufacture biologically active tissues has generated increasing interest over
the last years in various fields, ranging from personalized and regenerative medicine to soft …

We propose a superconvergent isogeometric collocation (IGSC) method based on quartic $
C^ 2$-continuous box splines on triangular partitions. By leveraging the superconvergence …