Unsichtbar und zugleich omnipräsent, erobern sich Computermodelle ständig neue Anwendungsfelder. Ihre Macht verdanken sie den immensen Kapazitäten moderner Rechnersysteme, und sie wird zusätzlich befeuert durch das maschinelle Lernen aus riesigen Datenbergen. Digitale Patienten, Szenarien zum Klimawandel, Missionen zu fernen Planeten, das Jonglieren an den Finanzmärkten, die Entwicklung nuklearer Waffensysteme – anhand vielfältiger Episoden und persönlicher Erlebnisse des Autors bietet Ihnen dieses Buch Einblick in eine faszinierende Welt, die zu einer wesentlichen Quelle des Erkenntnisgewinns geworden ist. Doch die unaufhaltsame Mathematisierung schürt auch Ängste: Sind wir, wie Goethes Zauberlehrling, schon tief im Netz der Algorithmen und Computermodelle verstrickt und verlieren die Kontrolle über ihre Macht? Wie ein modernes Orakel stillen Computermodelle unsere Sehnsucht nach einer berechenbaren Zukunft. Doch es lauern Fallstricke, aufgrund derer ihre Prognosen gravierend danebenliegen können. Blindes Vertrauen beim Laien wie auch starre Modellgläubigkeit beim Experten resultieren dann in Fehlentscheidungen, dem Versagen technischer Systeme oder ökonomischem Desaster. Kann man diesen Fallstricken entgehen? Zum Lesen dieses Buches benötigen Sie Neugierde sowie Offenheit für Überraschendes, aber keine Fachkenntnisse. Eine Fülle von Abbildungen veranschaulicht die wesentlichen Zusammenhänge, ergänzt um spannende Anekdoten aus Wissenschaft und Technik. Wollen Sie mehr erfahren? Dann kommen Sie mit auf diesen Streifzug durch den Kosmos der Computermodelle.

This proceedings volume gathers a selection of outstanding research papers presented at the third Conference on Isogeometric Analysis and Applications, held in Delft, The Netherlands, in April 2018. This conference series, previously held in Linz, Austria, in 2012 and Annweiler am Trifels, Germany, in 2014, has created an international forum for interaction between scientists and practitioners working in this rapidly developing field. Isogeometric analysis is a groundbreaking computational approach that aims to bridge the gap between numerical analysis and computational geometry modeling by integrating the finite element method and related numerical simulation techniques into the computer-aided design workflow, and vice versa. The methodology has matured over the last decade both in terms of our theoretical understanding, its mathematical foundation and the robustness and efficiency of its practical implementations. This development has enabled scientists and practitioners to tackle challenging new applications at the frontiers of research in science and engineering and attracted early adopters for this his novel computer-aided design and engineering technology in industry. The IGAA 2018 conference brought together experts on isogeometric analysis theory and application, share their insights into challenging industrial applications and to discuss the latest developments as well as the directions of future research and development that are required to make isogeometric analysis an established mainstream technology.

This proceedings volume gathers a selection of outstanding research papers presented at the third Conference on Isogeometric Analysis and Applications, held in Delft, The Netherlands, in April 2018. This conference series, previously held in Linz, Austria, in 2012 and Annweiler am Trifels, Germany, in 2014, has created an international forum for interaction between scientists and practitioners working in this rapidly developing field. Isogeometric analysis is a groundbreaking computational approach that aims to bridge the gap between numerical analysis and computational geometry modeling by integrating the finite element method and related numerical simulation techniques into the computer-aided design workflow, and vice versa. The methodology has matured over the last decade both in terms of our theoretical understanding, its mathematical foundation and the robustness and efficiency of its practical implementations. This development has enabled scientists and practitioners to tackle challenging new applications at the frontiers of research in science and engineering and attracted early adopters for this his novel computer-aided design and engineering technology in industry. The IGAA 2018 conference brought together experts on isogeometric analysis theory and application, share their insights into challenging industrial applications and to discuss the latest developments as well as the directions of future research and development that are required to make isogeometric analysis an established mainstream technology.

Isogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools. It thus bridges the gap between numerical analysis and geometry, and moreover it allows to tackle new cutting edge applications at the frontiers of research in science and engineering. This proceedings volume contains a selection of outstanding research papers presented at the second International Workshop on Isogeometric Analysis and Applications, held at Annweiler, Germany, in April 2014.

Isogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools. It thus bridges the gap between numerical analysis and geometry, and moreover it allows to tackle new cutting edge applications at the frontiers of research in science and engineering. This proceedings volume contains a selection of outstanding research papers presented at the second International Workshop on Isogeometric Analysis and Applications, held at Annweiler, Germany, in April 2014.

This monograph, written from a numerical analysis perspective, aims to provide a comprehensive treatment of both the mathematical framework and the numerical methods for flexible multibody dynamics. Not only is this field permanently and rapidly growing, with various applications in aerospace engineering, biomechanics, robotics, and vehicle analysis, its foundations can also be built on reasonably established mathematical models. Regarding actual computations, great strides have been made over the last two decades, as sophisticated software packages are now capable of simulating highly complex structures with rigid and deformable components. The approach used in this book should benefit graduate students and scientists working in computational mechanics and related disciplines as well as those interested in time-dependent partial differential equations and heterogeneous problems with multiple time scales. Additionally, a number of open issues at the frontiers of research are addressed by taking a differential-algebraic approach and extending it to the notion of transient saddle point problems.