Numerical Methods for Differential Equations, Optimization, and Technological Problems

This book collects results in numerical analysis and optimization presented at the 2011 ECCOMAS thematic conference "Computational Analysis and Optimization." The conference and the book celebrate the work of Prof. Pekka Neittaanmäki on his sixtieth birthday.

This book contains the results in numerical analysis and optimization presented at the ECCOMAS thematic conference Computational Analysis and Optimization (CAO 2011) held in Jyväskylä, Finland, June 911, 2011. Both the conference and this volume are dedicated to Professor Pekka Neittaanmäki on the occasion of his sixtieth birthday. It consists of five parts that are closely related to his scientific activities and interests: Numerical Methods for Nonlinear Problems; Reliable Methods for Computer Simulation; Analysis of Noised and Uncertain Data; Optimization Methods; Mathematical Models Generated by Modern Technological Problems. The book also includes a short biography of Professor Neittaanmäki.

Presents applications in from nanotechnology to cosmology Covers methods from analytical approaches to massively parallel high end computations Covers the whole range of computational science from modeling through numerical analysis to decision making supported by optimization tools Includes supplementary material: sn.pub/extras

Contenu

Foreword.- Preface.- Part I Numerical Methods for Nonlinear Problems.- The Finite Element Immersed Boundary Method for the Numerical Simulation of the Motion of Red Blood Cells in Microfluidic Flows, by Ronald H. W. Hoppe and Christopher Linsenmann.- Iterative Solution Methods for the Large-Scale Constrained Saddle Point Problems , by Erkki Laitinen and Alexander Lapin.- Analytical-Numerical Methods for Hidden Attractors' Localization: The 16th Hilbert Problem, Aizerman and Kalman Conjectures, and Chua Circuits, by Gennady A. Leonov and Nikolay V. Kuznetsov.- Numerical Study of a High Order 3D FEM-Level Set Approach for Immiscible Flow Simulation, by Stefan Turek, Otto Mierka, Shuren Hysing, and Dmitri Kuzmin.- GAs and Nash GAs Using a Fast Meshless Method for CFD Design, by Hong Wang, Hong-Quan Chen, and Jacques Periaux.- Part II Reliable Methods for Computer Simulation.- Balancing Discretization and Iteration Error in Finite Element A Posteriori Error Analysis , by Rolf Rannacher and Jevgeni Vihharev.- On Quantitative Analysis of an Ill-Posed Elliptic Problem with Cauchy Boundary Conditions , by Sergey Repin and Tuomo Rossi.- On the Advantages and Drawbacks of A Posteriori Error Estimation for Fourth-Order Elliptic Problems , by Karel Segeth.- Upper Bound for the Approximation Error for the Kirchhoff-Love Arch Problem , by Olli Mali.- Guaranteed Error Bounds for a Class of Picard-Lindelöf Iteration Methods , by Svetlana Matculevich, Pekka Neittaanmäki, and Sergey Repin.- Part III Analysis of Noised and Uncertain Data.- Hermitian Interpolation Subject to Uncertainties , by Jean-Antoine Désidéri, Manuel Bompard, and Jacques Peter.- Inversion of the Heat Equation by a Block Based Algorithm Using Spline WaveletPackets , by Amir Averbuch, Pekka Neittaanmäki, and Valery Zheludev.- Comparison Between Two Multi-Objective Optimization Algorithms: PAES and MGDA. Testing MGDA on Kriging Metamodels , by Adrien Zerbinati, Jean-Antoine Désidéri, and Régis Duvigneau.- Polar Classification of Nominal Data , by Guy Wolf, Shachar Harussi, Yaniv Shmueli, and Amir Averbuch.- Part IV Optimization Methods.- Subgradient and Bundle Methods for Nonsmooth Optimization , by Marko M. Mäkelä, Napsu Karmitsa, and Adil Bagirov.- Shape Optimization via Control of a Shape Function on a Fixed Domain: Theory and Numerical Results , by Peter Philip and Dan Tiba.- Multi-Objective Actuator Placement Optimization for Local Sound Control Evaluated in a Stochastic Domain, by Tuomas Airaksinen and Timo Aittokoski.- From the Idea of Bone Remodelling Simulation to Parallel Structural Optimisation , by Michal Nowak.- Part V Mathematical Models Generated by Modern Technological Problems.- Uncertainties in Contact Mechanics and Shape Optimization Problems , by Nikolay Banichuk and Svetlana Ivanova.- PPPC Peer-2-Peer Streaming and Algorithm for Creating Spanning Trees for Peer-2-Peer Networks , by Amir Averbuch, Yehuda Roditi, and Nezer Jacob Zaidenberg.- Safety Analysis and Optimization of Travelling Webs Subjected to Fracture and Instability , by Nikolay Banichuk, Svetlana Ivanova, Matti Kurki, Tytti Saksa, Maria Tirronen, and Tero Tuovinen.- Dynamic Behaviour of a Travelling Viscoelastic Band in Contact With Rollers, by Tytti Saksa, Nikolay Banichuk, Juha Jeronen, Matti Kurki, and Tero Tuovinen.- Visual Contrast Preserving Representation of High Dynamic Range Mathematical Functions , by Juha Jeronen.- Failure Simulations with a Strain Rate DependentDuctile-to-Brittle Transition Model , by Juha Hartikainen, Kari Kolari, and Reijo Kouhia.