Mathematical Modeling and Optimization of Complex Structures

Foreword.- Preface.- Acknowledgements.- List of Contributors.- PART I Numerical Analysis.-

Computational Issues for Optimal Shape Design in Hemodynamics, by Olivier Pironneau.-

Functional A Posteriori Error Estimate for a Nonsymmetric Stationary Diffusion Problem, by Olli Mali.- Error Estimates of Uzawa Iteration Method for a Class of Bingham Fluids, by Marjaana Nokka and Sergey Repin.- An Automatic Differentiation Based Approach to the Level Set Method, by Jukka I. Toivanen.- PART II Mathematical Modeling in Mechanics.- Differential Fluid Mechanics Harmonization of Analytical, Numerical and Laboratory Models of Flows, by Yuli D. Chashechkin.- Effect of Friction in Sliding Contact of a Sphere over a Viscoelastic Halfspace, by Irina Goryacheva, Fedor Stepanov, and Elena Torskaya.- Stability of a Tensioned Axially Moving Plate Subjected to Cross-Direction Potential Flow, by Juha Jeronen, Tytti Saksa, and Tero Tuovinen.- Multiaxial fatigue criteria and durability of titanium compressor disks in low- and very-high-cycle fatigue modes, by Nikolay Burago and Ilia Nikitin.- Dynamic Analysis for Axially Moving Viscoelastic PoyntingThompson Beams, by Tytti Saksa and Juha Jeronen.- A projection approach to analysis of natural vibrations for beams with nonsymmetric cross sections, by Vasily Saurin and Georgy Kostin.- On bifurcation analysis of implicitly given functionals in the theory of elastic stability, by Nikolay Banichuk, Alexander Barsuk, Juha J
eronen, Pekka Neittaanmäki, and Tero Tuovinen.- PART III Optimization.- Proximal Bundle Method for Nonsmooth and Nonconvex Multiobjective Optimization, by Marko M. Mäkelä, Napsu Karmitsa and Outi Wilppu.- Efficient Parallel Nash Genetic Algorithm for solving Inverse Problems in Structural Engineering, by Jacques Périaux and David Greiner.- Efficient variational design sensitivity analysis, by Franz-Joseph Barthold, Nikolai Gerzen, Wojciech Kijanski, and Daniel Materna.- A Variational Approach to Modelling and Optimization in Elastic Structure Dynamics, by Georgy Kostin and Vasily Saurin.- Contact Optimization Problems for Stationary and Sliding Conditions, by István Páczelt, Attila Baksa, and Zenon Mroz.- Some Problems of Multipurpose Optimization for Deformed Bodies and Structures, by Alexander Sinitsin, Svetlana Ivanova, Evgeniy Makeev and Nikolay Banichuk.