This review paper collects several results that form part of the theoretical foundation of
isogeometric methods. We analyse variational techniques for the numerical resolution of …

We compare isogeometric collocation with isogeometric Galerkin and standard C 0 finite
element methods with respect to the cost of forming the matrix and residual vector, the cost …

Modeling of Resistivity and Acoustic Borehole Logging Measurements Using Finite Element
Methods provides a comprehensive review of different resistivity and sonic logging …

In this work we present the application of isogeometric collocation techniques to the solution
of spatial Timoshenko rods. The strong form equations of the problem are presented in both …

We consider large linear systems arising from the isogeometric discretization of the Poisson
problem on a single-patch domain. The numerical solution of such systems is considered a …

In this paper we introduce methods for electromagnetic wave propagation, based on splines
and on T-splines. We define spline spaces which form a De Rham complex and following …

A balancing domain decomposition by constraints (BDDC) preconditioner with a novel
scaling, introduced by Dohrmann for problems with more than one variable coefficient and …

Several finite element methods for large deformation elastic problems in the nearly
incompressible and purely incompressible regimes are considered. In particular, the method …

A Balancing Domain Decomposition by Constraints (BDDC) preconditioner for Isogeometric
Analysis of scalar elliptic problems is constructed and analyzed by introducing appropriate …

We present (geometric) multigrid methods for isogeometric discretization of scalar second
order elliptic problems. The smoothing property of the relaxation method, and the …