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Rannacher, Rolf

Works: 173 works in 447 publications in 2 languages and 5,490 library holdings
Genres: Conference papers and proceedings 
Roles: Editor, Author, Other, Contributor
Publication Timeline
Publications about Rolf Rannacher
Publications by Rolf Rannacher
Most widely held works by Rolf Rannacher
Fundamental trends in fluid-structure interaction ( file )
13 editions published in 2010 in English and held by 1,475 libraries worldwide
The interaction of a fluid with a solid body is a widespread phenomenon in nature, occurring at different scales and different applied disciplines. Interestingly enough, even though the mathematical theory of the motion of bodies in a liquid is one of the oldest and most classical problems in fluid mechanics, mathematicians have, only very recently, become interested in a systematic study of the basic problems related to fluid-structure interaction, from both analytical and numerical viewpoints. "Fundamental Trends in Fluid-Structure Interaction" is a unique collection of important page
Reactive flows, diffusion and transport : from experiments via mathematical modeling to numerical simulation and optimization : final report of SFB (Collaborative Research Center) 359 by W Jäger( file )
13 editions published between 2006 and 2007 in English and held by 519 libraries worldwide
The articles in this volume summarize the research results obtained in the former SFB 359 'Reactive Flow, Diffusion and Transport', which has been supported by the DFG over the period 1993-2004. The main subjects are physical-chemical processes sharing the difficulty of interacting diffusion, transport and reaction which cannot be considered separately. Typical examples are the chemical processes in flow reactors and in the catalytic combustion at surfaces. Further examples are models of star formation including diffusive mass transport, energy radiation and dust formation and the pollutant transport in soil and waters. For these complex processes mathematical models are established and numerically simulated. The modeling uses multiscale techniques for nonlinear differential equations while for the numerical simulation and optimization goal-oriented mesh and model adaptivity, multigrid techniques and advanced Newton-type methods are developed combined with parallelization. This modeling and simulation is accompanyed by experiments
Advances in mathematical fluid mechanics : dedicated to Giovanni Paolo Galdi on the occasion of his 60th birthday by Rolf Rannacher( file )
14 editions published between 2010 and 2014 in English and held by 418 libraries worldwide
Mathematical advances in fluid mechanics are presented in this informative review. The properties of Navier-Stokes equations are discussed, in addition to related models that describe non-Newtonian flows, turbulence, and fluid structure interactions
Hemodynamical flows : modeling, analysis, and simulation by Giovanni P Galdi( file )
14 editions published in 2008 in English and held by 387 libraries worldwide
Hemodynamics is the study of the forces and physicalmechanisms associatedwith blood ?ow in the cardiovascularsystem. Due to the fact that blood is a suspension of ?exible particles in plasma and to the coupling between motion of blood and the vessel wall, necessarily this subject includes both ?uid and solid mechanical processes. Hemodynamic features such as ?ow separation, ?ow recirculation, and low and oscillatory wall shear stress are believed to play important roles in the localization and development of vascular diseases such as atherosclerosis, cerebral aneurysms, post-stenotic dilations and arteriovenous malformations. Therefore, modeling, mathematical analysis and numerical simulation of these processes can ultimately contribute to improved clinical diagnosis and therapeutic planning. However, the circulatory system is extremely complex and so researchers are facedwith the need to formulatethe numericalormathematicalproblemin a form which is su?ciently simple to be tractable, yet maintains enough complexity to be relevant.Forexample, ratherthanmodeling the entirecirculatorysystem,isolated segmentsofthe circulationarestudied,introducingthe needtochooseappropriate in?ow and out?ow boundary conditions and possibly take a multi-scale approach. The blood vessel wall is an inhomogeneous, nonlinear, material capable of growth and remodeling, and blood is a concentrated suspension of deformable cellular elements in plasma. The modeler needs to choose suitable constitutive models for the wall and blood. The diameter of vessels in the circulatory system ranges from the order of centimeters in the larger arteries to microns in the capillaries
Modeling, Simulation and Optimization of Complex Processes - Hpsc 2012 Proceedings of the Fifth International Conference on High Performance Scientific Computing, March 5-9, 2012, Hanoi, Vietnam by Hans Georg Bock( file )
8 editions published in 2014 in English and held by 327 libraries worldwide
This proceedings volume gathers a selection of papers presented at the Fifth International Conference on High Performance Scientific Computing, which took place in Hanoi on March 5-9, 2012. The conference was organized by the Institute of Mathematics of the Vietnam Academy of Science and Technology (VAST), the Interdisciplinary Center for Scientific Computing (IWR) of Heidelberg University, Ho Chi Minh City University of Technology, and the Vietnam Institute for Advanced Study in Mathematics. The contributions cover the broad interdisciplinary spectrum of scientific computing and present recent advances in theory, development of methods, and practical applications. Subjects covered include mathematical modeling; numerical simulation; methods for optimization and control; parallel computing; software development; and applications of scientific computing in physics, mechanics and biomechanics, material science, hydrology, chemistry, biology, biotechnology, medicine, sports, psychology, transport, logistics, communication networks, scheduling, industry, business and finance
Adaptive finite element methods for differential equations by Wolfgang Bangerth( Book )
11 editions published in 2003 in English and held by 251 libraries worldwide
These Lecture Notes discuss concepts of `self-adaptivity' in the numerical solution of differential equations, with emphasis on Galerkin finite element methods. The key issues are a posteriori error estimation and it automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method for goal-oriented error estimation, is discussed in detail. This method aims at economical computation of arbitrary quantities of physical interest by properly adapting the computational mesh. This is typically required in the design cycles of technical applications. For example, the drag coefficient of a body immersed in a viscous flow is computed, then it is minimized by varying certain control parameters, and finally the stability of the resulting flow is investigated by solving an eigenvalue problem. `Goal-oriented' adaptivity is designed to achieve these tasks with minimal cost. At the end of each chapter some exercises are posed in order to assist the interested reader in better understanding the concepts presented. Solutions and accompanying remarks are given in the Appendix. For the practical exercises, sample programs are provided via internet
Fundamental directions in mathematical fluid mechanics ( Book )
7 editions published in 2000 in English and held by 250 libraries worldwide
This set of six papers, written by eminent experts in the field, is concerned with that part of fluid mechanics that seeks its foundation in the rigorous mathematical treatment of the Navier-Stokes equations. In particular, an overview is given on state of research regarding the global existence of smooth solutions, for which uniqueness and continuous dependence on the data can be proven. Then, the book moves on to a discussion of recent developments of the finite element Galerkin method, with an emphasis on a priori and a posteriori error estimation and adaptive mesh refinement. A further article elaborates on spectral Galerkin methods and their extension to domains with complicated geometries by employing the techniques of domain decomposition. The rigorous explanation of bifurcation phenomena in fluids has long been a central topic in the theory of Navier-Stokes equations. Here, bifurcation theory is introduced in a general setting that is particularly convenient for application to such problems. Finally, the extension of Navier-Stokes theory to compressible viscous flows, studied in two more papers, opens up a fascinating panorama of theoretical and numerical problems. While some of the contributions are expository, others primarily present new results within a wider context and fuller exposition than is usual for research papers. The book is meant to introduce researchers and advanced students to the research level on some of the most important topics of the field
Multiple shooting and time domain decomposition methods : MuS-TDD, Heidelberg, May 6-8, 2013 by Multiple Shooting and Time Domain Decomposition Methods (Veranstaltung)( file )
5 editions published in 2015 in English and held by 225 libraries worldwide
This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations. The contributions present various approaches to time domain decomposition, focusing on multiple shooting and parareal algorithms. The range of topics covers theoretical analysis of the methods, as well as their algorithmic formulation and guidelines for practical implementation. Selected examples show that the discussed approaches are mandatory for the solution of challenging practical problems. The practicability and efficiency of the presented methods is illustrated by several case studies from fluid dynamics, data compression, image processing and computational biology, giving rise to possible new research topics. This volume, resulting from the workshop Multiple Shooting and Time Domain Decomposition Methods, held in Heidelberg in May 2013, will be of gre
Contributions to current challenges in mathematical fluid mechanics by Giovanni P Galdi( Book )
6 editions published in 2004 in English and held by 204 libraries worldwide
"This volume collects a series of articles whose objective is to furnish new contributions and ideas to these questions with particular regard to turbulence modelling, regularity of solutions to the initial-value problem, flow in region with an unbounded boundary and compressible flow."--Jacket
MODELING, SIMULATION AND OPTIMIZATION OF COMPLEX PROCESSES HPSC 2015 by International Conference on High Performance Scientific Computing( file )
6 editions published in 2017 in English and held by 183 libraries worldwide
This proceedings volume highlights a selection of papers presented at the Sixth International Conference on High Performance Scientific Computing, which took place in Hanoi, Vietnam on March 16-20, 2015. The conference was jointly organized by the Heidelberg Institute of Theoretical Studies (HITS), the Institute of Mathematics of the Vietnam Academy of Science and Technology (VAST), the Interdisciplinary Center for Scientific Computing (IWR) at Heidelberg University, and the Vietnam Institute for Advanced Study in Mathematics, Ministry of Education The contributions cover a broad, interdisciplinary spectrum of scientific computing and showcase recent advances in theory, methods, and practical applications. Subjects covered numerical simulation, methods for optimization and control, parallel computing, and software development, as well as the applications of scientific computing in physics, mechanics, biomechanics and robotics, material science, hydrology, biotechnology, medicine, transport, scheduling, and industry.--
Modelling, simulation, and optimization of complex processes : proceedings of the International Conference on High Performance Scientific Computing, March 10-14, 2003, Hanoi, Vietnam by Hans Georg Bock( file )
24 editions published between 2005 and 2014 in English and held by 131 libraries worldwide
Numerical treatment of the Navier-Stokes equations : proceedings of the Fifth GAMM-Seminar, Kiel, January 20-22, 1989 by W Hackbusch( Book )
8 editions published in 1990 in English and held by 105 libraries worldwide
Numerical methods in multidimensional radiative transfer by Guido Kanschat( file )
7 editions published in 2009 in English and Undetermined and held by 98 libraries worldwide
The book provides an overview of the numerical modelling of radiation fields in multidimensional geometries. It covers advances and problems in the mathematical treatment of the radiative transfer equation, a partial integro-differential equation of high dimension that describes the propagation of theradiation in various fields. Highly accurate andfast methodswith sound analytical foundations are particularly emphasized. The volume should not only serve as a basis for the selection ofsuitable methods for actual radiative transfer problems in disciplines from astronomy and climatology to radiological diagnostics but also be a starting point for additional mathematical investigations on many still unknown aspects of the transfer equation
Trends in nonlinear analysis by Markus Kirkilionis( file )
4 editions published in 2003 in English and held by 68 libraries worldwide
Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis
Numerische Algorithmen auf Transputer-Systemen by Georg Bader( Book )
3 editions published in 1993 in German and held by 37 libraries worldwide
Topics in mathematical fluid mechanics : Cetraro, Italy 2010 by P Constantin( Book )
13 editions published between 2002 and 2003 in English and held by 37 libraries worldwide
This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative and quantitative results about the behavior in special cases, asymptotic behavior, statistical properties and ergodicity
Constrained optimization and optimal control for partial differential equations by Günter Leugering( file )
4 editions published in 2012 in English and held by 36 libraries worldwide
This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field. Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. The contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization
Trends in PDE constrained optimization by Günter Leugering( file )
8 editions published in 2014 in English and held by 32 libraries worldwide
Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on “Optimization with Partial Differential Equations” from 2006 to 2013. The investigations were motivated by the fascinating potential applications and challenging mathematical problems that arise in the field of PDE constrained optimization. New analytic and algorithmic paradigms have been developed, implemented and validated in the context of real-world applications. In this special volume, contributions from more than fifteen German universities combine the results of this interdisciplinary program with a focus on applied mathematics.   The book is divided into five sections on “Constrained Optimization, Identification and Control”, “Shape and Topology Optimization”, “Adaptivity and Model Reduction”, “Discretization: Concepts and Analysis” and “Applications”. Peer-reviewed research articles present the most recent results in the field of PDE constrained optimization and control problems. Informative survey articles give an overview of topics that set sustainable trends for future research. This makes this special volume interesting not only for mathematicians, but also for engineers and for natural and medical scientists working on processes that can be modeled by PDEs
On the numerical analysis of eigenvalue problems by Joscha Micha Gedicke( file )
1 edition published in 2013 in English and held by 26 libraries worldwide
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Alternative Names
Rannacher, R.
Rannacher, R. 1948-
Rannacher, R. (Rolf)
Rannacher, Rolf
English (168)
German (3)
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