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 …

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

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 …

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 …

In this paper we discuss the use of the sum-factorization for the calculation of the integrals
arising in Galerkin isogeometric analysis. While introducing very little change in an …

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 …

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

In this paper, we study the hydrodynamics of a vesicle doublet suspended in an external
viscous fluid flow. Vesicles in this study are modeled using the phase-field model. The …