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Towards a seamless Integration of CAD and Simulation: CISM Course 2017 Bordas, Stéphane Learning material (2017) Isogeometric analysis relies on the use of the same basis functions as employed in Computer Aided Design (CAD). This offers the possibility to facilitate design and optimisation. The previous course ... [more ▼] Isogeometric analysis relies on the use of the same basis functions as employed in Computer Aided Design (CAD). This offers the possibility to facilitate design and optimisation. The previous course “Isogeometric methods for numerical simulation” held in 2013 had the aim to give an introduction to isogeometric analysis, its advantages, drawbacks and to the range of its applications. The aim of the proposed new course will be different. The focus will be more on the connection of simulation to CAD systems and how CAD data can be used directly for simulation, leading to a seamless integration. An overview of recent advances and applications will be also presented. The course will start with an introduction to NURBS and their use in describing geometry and in simulation. This will be followed by lectures from a CAD vendor describing the current state of development. Currently available connections to simulation software will also be discussed. Next the use of NURBS for 3D structural analysis, structural optimisation and damage tolerance assessment will be presented, including such advanced topics as the treatment of discontinuities and real-time solvers. It will also be discussed when it might be advantageous to decouple the boundary discretisation from the field variable discretisation, in particular in shape optimisation. Isogeometric methods for the analysis of beam and shell structures, including shape optimisation and fluid structure interaction, will be presented. Lectures on the mathematical and algorithmic foundations of analysis-suitable geometry will follow. This includes an introduction to T-splines and multilevel spline schemes such as hierarchical B- splines. Common analysis-suitable spline algorithms will be presented in the context of Bézier extraction and projection as well as its application as a foundation for integrated engineering design and analysis. An important aspect of analysis-suitable geometry is the ability to locally adapt the smooth spline basis. Several common refinement algorithms will be reviewed as well as their application in several demanding areas of application. The emerging area of weak geometry will be introduced as well as its application to the rapid construction of complex structural assemblies. With the rapid development of isogeometric analysis in recent years, there is an urgent need for volumetric parameterization such as volumetric T-spline model construction. Several volumetric T- spline modeling techniques, that were developed in recent years will be presented. They include converting any quad/ hex meshes to standard and rational T-splines, polycube-based parametric mapping, feature preservation using eigenfunctions, Boolean operations and skeletons, truncated hierarchical Catmull-Clark subdivision, weighted T-splines, conformal T-spline modeling, as well as incorporating T-splines into commercial CAD and FEA software, will be presented. The target audience will be engineers, interested in simulation, software developers and researchers. [less ▲] Detailed reference viewed: 359 (10 UL)Rahmenplan zur nonformalen Bildung im Kindes- und Jugendalter Biewers, Sandra Learning material (2017) Detailed reference viewed: 30 (2 UL)Linear Algebra 2 Wiese, Gabor ; Notarnicola, Luca ; Notarnicola, Massimo Learning material (2017) Detailed reference viewed: 29 (1 UL)Rahmenplan zur nonformalen Bildung im Kindes und Jugendalter Biewers, Sandra Learning material (2016) Detailed reference viewed: 5 (0 UL)Expressions & relations mathématiques élémentaires Korvers, Stéphane Learning material (2016) Ce texte introduit les outils de base des mathématiques que sont les expressions algébriques et numériques. Les nombres réels, les opérations sur les nombres, les moyennes, les sommes partielles de ... [more ▼] Ce texte introduit les outils de base des mathématiques que sont les expressions algébriques et numériques. Les nombres réels, les opérations sur les nombres, les moyennes, les sommes partielles de termes de suites particulières, les polynômes ou la factorisation des expressions algébriques sont à compter parmi les thèmes abordés. La structure des notes vise à accompagner le lecteur au travers de ces éléments théoriques et à lui permettre de développer ses compétences mathématiques par la réalisation des nombreux exercices proposés. [less ▲] Detailed reference viewed: 27 (4 UL)Value Stream Management Training Plapper, Peter ; Oberhausen, Christof Learning material (2016) The VSM workshop deals with concepts in the area of Value Stream Management, comprising the analysis, design and optimization of internal material and information flows. The VSM workshop was held by Prof ... [more ▼] The VSM workshop deals with concepts in the area of Value Stream Management, comprising the analysis, design and optimization of internal material and information flows. The VSM workshop was held by Prof. Dr.-Ing. Peter Plapper and M.Sc. Christof Oberhausen, who contribute a profound knowledge in Value Stream Management based on their ongoing research in this field. The one-day VSM workshop is targeted at an audience of 8-12 participants with a background in Lean Engineering or Operational Excellence. [less ▲] Detailed reference viewed: 28 (6 UL)Riemann Surfaces. Lecture notes. Winter semester 2015/2016. Iena, Oleksandr Learning material (2015) These are the lecture notes for the course 'Riemann surfaces' (14 Lectures, 90 minutes each). The lectures are provided with exercises. Detailed reference viewed: 45 (9 UL)Mobilité transfrontalière des salariés luxembourgeois - Retour sur le cadre fiscal et social en vigueur Chaouche, Fatima Learning material (2015) Detailed reference viewed: 83 (26 UL)Algèbre 1 (BASI filière mathématiques, 2015) Wiese, Gabor Learning material (2015) Course notes with exercises from the lecture Algèbre 1, taught in the BASI track mathematics at the University of Luxembourg in 2015. Detailed reference viewed: 39 (2 UL)Commutative Algebra (Master in Mathematics, 2015) Wiese, Gabor Learning material (2015) Lecture notes with exercise sheets from the lecture Commutative Algebra held in winter term 2015 in the Master in Mathematics at the University of Luxembourg. Detailed reference viewed: 38 (4 UL)Local Fields Arias De Reyna Dominguez, Sara Learning material (2015) These lecture notes correspond to the course Local Fields from the Master in Mathematics of the University of Luxembourg, taught in the Winter Term 2015. It consists of 14 lectures of 90 minutes each ... [more ▼] These lecture notes correspond to the course Local Fields from the Master in Mathematics of the University of Luxembourg, taught in the Winter Term 2015. It consists of 14 lectures of 90 minutes each. This lecture belongs to the fourth semester of the Master, and it builds on the lectures Commutative Algebra and Algebraic Number Theory, belonging to the first and second semester respectively. The aim of the lecture is to explain the basic theory of local fields, and apply this theory to obtain information about number fields. [less ▲] Detailed reference viewed: 34 (0 UL)Géométrie (lieux géométriques et courbes paramétrées) Poncin, Norbert Learning material (2015) Detailed reference viewed: 55 (2 UL)Géométrie différentielle des surfaces Korvers, Stéphane Learning material (2014) Detailed reference viewed: 49 (4 UL)Riemann Surfaces. Lecture notes. Winter semester 2014/2015. Iena, Oleksandr Learning material (2014) This is a preliminary version of lecture notes for the course 'Riemann surfaces' (14 Lectures, 90 minutes each). The lectures are provided with exercises. Detailed reference viewed: 65 (34 UL)Mécanique quantique : notes de cours Jubin, Benoît Michel Learning material (2014) These notes are a summary of the course "Physical Mathematics 3: Quantum Mechanics" of the Bachelor of Mathematics of the University of Luxembourg given in the second semesters of the academic years 2012 ... [more ▼] These notes are a summary of the course "Physical Mathematics 3: Quantum Mechanics" of the Bachelor of Mathematics of the University of Luxembourg given in the second semesters of the academic years 2012--2013 and 2013--2014. [less ▲] Detailed reference viewed: 64 (7 UL)The complex torus and elliptic curves: Lecture notes Riviere, Salim Learning material (2014) Lecture notes on Weierstrass uniformization of complex elliptic curves. Detailed reference viewed: 33 (3 UL)Riemann Surfaces. Lecture notes. Winter semester 2013/2014. Iena, Oleksandr Learning material (2013) This is a preliminary version of lecture notes for the course 'Riemann surfaces' (14 Lectures, 90 minutes each). Detailed reference viewed: 40 (18 UL)Éléments de théorie de Lie Korvers, Stéphane Learning material (2013) Detailed reference viewed: 46 (3 UL)Algèbre 1 (BASI filière mathématiques, 2013) Wiese, Gabor ; David, Agnès Learning material (2013) Lecture notes written in French from the Algebra 1 lecture in the 1st term of the Bachelor programme BASI branch Mathematics at the University of Luxembourg. The lecture starts with preliminaries on logic ... [more ▼] Lecture notes written in French from the Algebra 1 lecture in the 1st term of the Bachelor programme BASI branch Mathematics at the University of Luxembourg. The lecture starts with preliminaries on logic, sets and functions, it builds the natural numbers (almost) from the Peano axioms, then constructs the integers and the rationals. Groups and rings are introduced in that context. The most basic definitions and results from abstract linear algebra are also given. The course finishes with some basic group theory. [less ▲] Detailed reference viewed: 37 (1 UL)Algebra 3 Arias De Reyna Dominguez, Sara Learning material (2013) These lecture notes correspond to the course Algebra 3 from the Bachelor en Sciences et Ingénierie, Filière mathématiques, of the University of Luxembourg. This course was taught in the Winter Term 2013 ... [more ▼] These lecture notes correspond to the course Algebra 3 from the Bachelor en Sciences et Ingénierie, Filière mathématiques, of the University of Luxembourg. This course was taught in the Winter Term 2013 and it consists of 14 lectures of 90 minutes each. This lecture belongs to the third semester of the Bachelor, and it builds on the lectures Algebra 1 and Algebra 2, belonging to the first and second semester respectively. The aim of this course is to introduce the students to the theory of algebraic extensions of fields, and culminates with the application of the theory to the solution (negative solution, in fact) of the three classical Greek problems concerning constructions with ruler and compass. This lecture is also a preliminary step towards Galois theory, which is taught in the fourth semester of the Bachelor. [less ▲] Detailed reference viewed: 37 (1 UL)Commutative Algebra (Master in Mathematics, 2013) Wiese, Gabor Learning material (2013) Lecture notes from the 1st year of Master in Mathematics at the University of Luxembourg. Rings of integers of number fields and coordinate rings of plane curves are the central examples around which the ... [more ▼] Lecture notes from the 1st year of Master in Mathematics at the University of Luxembourg. Rings of integers of number fields and coordinate rings of plane curves are the central examples around which the theory is developed: integrality, noetherian rings, localisation, Noether normalisation, Hilbert's Nullstellensatz, etc. [less ▲] Detailed reference viewed: 40 (2 UL)Algèbre 3 (théorie des corps et théorie de Galois) Wiese, Gabor Learning material (2012) Lecture notes written in French from the Algebra 3 lecture in the 3rd term of the Bachelor programme BASI branch Mathematics (old version) at the University of Luxembourg. The lecture covers field theory ... [more ▼] Lecture notes written in French from the Algebra 3 lecture in the 3rd term of the Bachelor programme BASI branch Mathematics (old version) at the University of Luxembourg. The lecture covers field theory and Galois theory and includes a treatment of the solvability of equations by radicals and a treatment of classical construction problems with ruler and compass. [less ▲] Detailed reference viewed: 67 (3 UL)Basic Algebraic Structures - Lecture notes for the MICS Schlichenmaier, Martin Learning material (2011) Detailed reference viewed: 91 (4 UL)Mathématique physique 1 et 2 Poncin, Norbert Learning material (2008) Detailed reference viewed: 34 (3 UL)Mécanique des solides déformables Poncin, Norbert Learning material (2000) Detailed reference viewed: 21 (0 UL)Operaden und Vertexalgebren Schlichenmaier, Martin Learning material (1997) Detailed reference viewed: 27 (1 UL)Vertexalgebren eine Einführung Schlichenmaier, Martin Learning material (1997) Detailed reference viewed: 25 (0 UL) |
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