Rolf Rannacher's Books

Hemodynamical Flows

Modeling, Analysis and Simulation

By: Giovanni P. Galdi,Rolf Rannacher,Anne M. Robertson,Stefan Turek

Write a review Read reviews Take a Quiz Solve Book Puzzle

Hemodynamical Flows

Modeling, Analysis and Simulation

By: Giovanni P. Galdi,Rolf Rannacher,Anne M. Robertson,Stefan Turek

This book surveys research results on the physical and mathematical modeling, as well as the numerical simulation of complex fluid and structural mechanical processes occurring in the human blood circulation system. Topics treated include continuum mechanical description; choice of suitable liquid and wall models; mathematical analysis of coupled models; numerical methods for flow simulation; parameter identification and model calibration; fluid-solid interaction; mathematical analysis of piping systems; particle transport in channels and pipes; artificial boundary conditions, and many more. The book was developed from lectures presented by the authors at the Oberwolfach Research Institute (MFO), in Oberwolfach-Walke, Germany, November, 2005.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

512

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764378050

ISBN 13

9783764378059

Fundamental Trends in Fluid-structure Interaction

By: Giovanni Paolo Galdi,Rolf Rannacher

Write a review Read reviews Take a Quiz Solve Book Puzzle

Fundamental Trends in Fluid-structure Interaction

By: Giovanni Paolo Galdi,Rolf Rannacher

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 papers written by world-renowned experts aimed at furnishing the highest level of development in several significant areas of fluid-structure interactions. The contributions cover several aspects of this discipline, from mathematical analysis, numerical simulation and modeling viewpoints, including motion of rigid and elastic bodies in a viscous liquid, particulate flow and hemodynamic.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

302

Publisher

World Scientific

Published Date

ISBN 10

9814299324

ISBN 13

9789814299329

Adaptive Finite Element Methods for Differential Equations

By: Wolfgang Bangerth,Rolf Rannacher

Write a review Read reviews Take a Quiz Solve Book Puzzle

Adaptive Finite Element Methods for Differential Equations

By: Wolfgang Bangerth,Rolf Rannacher

These Lecture Notes have been compiled from the material presented by the second author in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH Zurich during the summer term 2002. Concepts of 'self adaptivity' in the numerical solution of differential equations are discussed with emphasis on Galerkin finite element methods. The key issues are a posteriori er ror estimation and automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method (or shortly D WR 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. The basics of the DWR method and various of its applications are described in the following survey articles: R. Rannacher [114], Error control in finite element computations. In: Proc. of Summer School Error Control and Adaptivity in Scientific Computing (H. Bulgak and C. Zenger, eds), pp. 247-278. Kluwer Academic Publishers, 1998. M. Braack and R. Rannacher [42], Adaptive finite element methods for low Mach-number flows with chemical reactions.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

216

Publisher

Birkhäuser

Published Date

ISBN 10

303487605X

ISBN 13

9783034876056

ICIAM 07

6th International Conference on Industrial and Applied Mathematics, Zürich, Switzerland, 16-20 July 2007 : Invited Lectures

By: Rolf Jeltsch

Write a review Read reviews Take a Quiz Solve Book Puzzle

ICIAM 07

6th International Conference on Industrial and Applied Mathematics, Zürich, Switzerland, 16-20 July 2007 : Invited Lectures

By: Rolf Jeltsch

The International Council for Industrial and Applied Mathematics (ICIAM) is the worldwide organization of societies which are dedicated primarily or significantly to applied and/or industrial mathematics. The ICIAM Congresses, held every 4 years, are run under the auspices of the Council with the aim to advance the applications of mathematics in all parts of the world. The Sixth ICIAM Congress was held in Zurich, Switzerland, July 16-20, 2007, and was attended by more than 3000 scientists from 47 countries. This volume collects the invited lectures of this Congress, the appreciations of the ICIAM Prize winners' achievements, and the Euler Lecture celebrating the 300th anniversary of Euler. The authors of these papers are leading researchers in their fields, rigorously selected by a distinguished international program committee. The book presents an overview of contemporary applications of mathematics, new perspectives, and open problems. Topics embrace analysis of and numerical methods for: linear and nonlinear partial differential equations multiscale modeling nonlinear problems involving integral operators controllability and observability asymptotic solutions of Hamilton-Jacobi equations contact problems in solid mechanics topology optimization of structures dissipation inequalities in systems theory greedy algorithms sampling in function space order-value optimization parabolic partial differential equations and deterministic games Moreover, particular applications involve risk in financial markets, radar imaging, brain dynamics, and complex geometric optics applied to acoustics and electromagnetics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

528

Publisher

European Mathematical Society

Published Date

ISBN 10

3037190566

ISBN 13

9783037190562

Adaptive Finite Element Methods for Differential Equations

By: Wolfgang Bangerth,Rolf Rannacher

Write a review Read reviews Take a Quiz Solve Book Puzzle

Adaptive Finite Element Methods for Differential Equations

By: Wolfgang Bangerth,Rolf Rannacher

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

216

Publisher

Birkhäuser

Published Date

ISBN 10

303487605X

ISBN 13

9783034876056

Reactive Flows, Diffusion and Transport

From Experiments via Mathematical Modeling to Numerical Simulation and Optimization

By: Willi Jäger,Rolf Rannacher,J. Warnatz

Write a review Read reviews Take a Quiz Solve Book Puzzle

Reactive Flows, Diffusion and Transport

From Experiments via Mathematical Modeling to Numerical Simulation and Optimization

By: Willi Jäger,Rolf Rannacher,J. Warnatz

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. The modeling and simulation within this book is accompanied by experiments.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

676

Publisher

Springer

Published Date

ISBN 10

354028379X

ISBN 13

9783540283799

Contributions to Current Challenges in Mathematical Fluid Mechanics

By: Giovanni P. Galdi,Malcolm I. Heywood,Rolf Rannacher

Write a review Read reviews Take a Quiz Solve Book Puzzle

Contributions to Current Challenges in Mathematical Fluid Mechanics

By: Giovanni P. Galdi,Malcolm I. Heywood,Rolf Rannacher

This volume consists of five research articles, each dedicated to a significant topic in the mathematical theory of the Navier-Stokes equations, for compressible and incompressible fluids, and to related questions. All results given here are new and represent a noticeable contribution to the subject. One of the most famous predictions of the Kolmogorov theory of turbulence is the so-called Kolmogorov-obukhov five-thirds law. As is known, this law is heuristic and, to date, there is no rigorous justification. The article of A. Biryuk deals with the Cauchy problem for a multi-dimensional Burgers equation with periodic boundary conditions. Estimates in suitable norms for the corresponding solutions are derived for "large" Reynolds numbers, and their relation with the Kolmogorov-Obukhov law are discussed. Similar estimates are also obtained for the Navier-Stokes equation. In the late sixties J. L. Lions introduced a "perturbation" of the Navier Stokes equations in which he added in the linear momentum equation the hyper dissipative term (-Ll),Bu, f3 ~ 5/4, where Ll is the Laplace operator. This term is referred to as an "artificial" viscosity. Even though it is not physically moti vated, artificial viscosity has proved a useful device in numerical simulations of the Navier-Stokes equations at high Reynolds numbers. The paper of of D. Chae and J. Lee investigates the global well-posedness of a modification of the Navier Stokes equation similar to that introduced by Lions, but where now the original dissipative term -Llu is replaced by (-Ll)O:u, 0 S Ct

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

164

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764371048

ISBN 13

9783764371043

Fundamental Trends in Fluid-structure Interaction

By: Giovanni P. Galdi,Rolf Rannacher

Write a review Read reviews Take a Quiz Solve Book Puzzle

Fundamental Trends in Fluid-structure Interaction

By: Giovanni P. Galdi,Rolf Rannacher

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

302

Publisher

World Scientific

Published Date

ISBN 10

9814299332

ISBN 13

9789814299336

Hemodynamical Flows

Modeling, Analysis and Simulation

By: Giovanni P. Galdi,Rolf Rannacher,Anne M. Robertson,Stefan Turek

Write a review Read reviews Take a Quiz Solve Book Puzzle

Hemodynamical Flows

Modeling, Analysis and Simulation

By: Giovanni P. Galdi,Rolf Rannacher,Anne M. Robertson,Stefan Turek

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

512

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764378050

ISBN 13

9783764378059

Book's by Rolf Rannacher

Hemodynamical Flows

Hemodynamical Flows

Fundamental Trends in Fluid-structure Interaction

Fundamental Trends in Fluid-structure Interaction

Adaptive Finite Element Methods for Differential Equations

Adaptive Finite Element Methods for Differential Equations

ICIAM 07

ICIAM 07

Adaptive Finite Element Methods for Differential Equations

Adaptive Finite Element Methods for Differential Equations

Reactive Flows, Diffusion and Transport

Reactive Flows, Diffusion and Transport

Contributions to Current Challenges in Mathematical Fluid Mechanics

Contributions to Current Challenges in Mathematical Fluid Mechanics

Fundamental Trends in Fluid-structure Interaction

Fundamental Trends in Fluid-structure Interaction

Hemodynamical Flows

Hemodynamical Flows

Username

Password

Username

Password

Password again

Birthday

Email