We review the treatment of trimmed geometries in the context of design, data exchange, and
computational simulation. Such models are omnipresent in current engineering modeling …

Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …

This paper reviews the state of the art and discusses recent developments in the field of
adaptive isogeometric analysis, with special focus on the mathematical theory. This includes …

We present a mass lumping approach based on an isogeometric Petrov–Galerkin method
that preserves higher-order spatial accuracy in explicit dynamics calculations irrespective of …

In this paper, the novel design mode of human-aided design (HAD) is proposed to replace
conventional computer-aided design (CAD). In HAD, computers can automatically complete …

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 …

We extend the recently proposed framework using reduced quadrature in the Finite Element
and Isogeometric methods for solid mechanics to the nonlinear realm. The proposed …

The global (patch-wise) geometry map, which describes the computational domain, is a new
feature in isogeometric analysis. This map has a global tensor structure, inherited from the …

The objective of the present work is to develop efficient, higher-order space-and time-
accurate, methods for structural dynamics. To this end, we present a family of explicit …

Recently, a new formation and assembly strategy was proposed in [1], which resulted in
significant speedups in the formation and assembly time of the Galerkin mass matrix in …