The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …

This paper reviews the currently available computational contact formulations within the
framework of isogeometric analysis (IGA). As opposed to conventional Lagrange …

“The authors are the originators of isogeometric analysis, are excellent scientists and good
educators. It is very original. There is no other book on this topic.”—René de Borst …

The concept of isogeometric analysis is proposed. Basis functions generated from NURBS
(Non-Uniform Rational B-Splines) are employed to construct an exact geometric model. For …

This article proposes the use of Jacobi polynomials as shape functions for the free vibration
analysis of beam, plate, and shell structures. Jacobi polynomials, indicated as P p (γ, θ) …

Offering the only existing finite element (FE) codes for Maxwell equations that support hp
refinements on irregular meshes, Computing with hp-ADAPTIVE FINITE ELEMENTS …

We investigate the effects of smoothness of basis functions on solution accuracy within the
isogeometric analysis framework. We consider two simple one-dimensional structural …

A simple yet effective modification to the standard finite element method is presented in this
paper. The basic idea is an extension of a partial differential equation beyond the physical …

An old dilemma in structural shape optimization is the needed tight link between design
model or geometric description and analysis model. The intention of this paper is to show …

This article presents a generalization of the recently proposed finite cell method to three-
dimensional problems of linear elasticity. The finite cell method combines ideas from …