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

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 …

This practical guide provides the best introduction to large deformation material point
method (MPM) simulations for geotechnical engineering. It provides the basic theory …

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 …

We present PetIGA, a code framework to approximate the solution of partial differential
equations using isogeometric analysis. PetIGA can be used to assemble matrices and …

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 …

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 …

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 …

This publication presents a robust and efficient approach for fully CAD-integrated analyses
of solids, which aims to reduce the current modeling effort for static and transient problems …

An adaptive higher-order method based on a generalization of polynomial/rational splines
over hierarchical T-meshes (PHT/RHT-splines) is introduced. While most problems …