Mathematical Modeling and Optimization of Complex Structures

“After reading the book, it is clear that the book covers important material, and is therefore an excellent compendium for researchers, tutors and graduate students. This is an excellent book not only for understanding new optimization algorithms but also as a tool for the implementation of new optimization techniques to complex engineering problems.” (Samia Riaz, Qasim Ali Chaudhry and Sidra Siddiqui, Complex Adaptive Systems Modelling, Vol. 4, 2016)

• 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 compressordisks 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 Jeronen, 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.