Mathematical modeling and optimization of complex structures

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Title Statements

Full title :Mathematical modeling and optimization of complex structures / Pekka Neittaanmäki, Sergey Repin, Tero Tuovinen, editors.

Summary

This volume contains selected papers in three closely related areas: mathematical modeling in mechanics, numerical analysis, and optimization methods. The papers are based upon talks presented on the International Conference for Mathematical Modeling and Optimization in Mechanics, held in Jyväskylä, Finland, March 6-7, 2014 dedicated to Prof. N. Banichuk on the occasion of his 70th birthday. The articles are written by well-known scientists working in computational mechanics and in optimization of complicated technical models. Also, the volume contains papers discussing the historical development, the state of the art, new ideas, and open problems arising in modern continuum mechanics and applied optimization problems. Several papers are concerned with mathematical problems in numerical analysis, which are also closely related to important mechanical models. The main topics treated include: * Computer simulation methods in mechanics, physics, and biology; * Variational problems and methods; minimization algorithms; * Optimal control problems with distributed and discrete control; * Shape optimization and shape design problems in science and engineering; * Sensitivity analysis and parameters optimization of complex systems.

Edition Statements

Publication Date:2016

Publication Statements

Publisher(s):Springer
Place of Publication:Cham
Language:eng
Publication Date:2016

Notes

"This book collects results presented at the International Conference for Mathematical Modeling and Optimization in Mechanics (MMOM 2014) 6-7 March 2014, Jyväskylä, Finland, which was dedicated to the 70th jubilee of Professor Nikolay Banichuk"--Preface.

The Physical Object

Description:xxi, 328 pages : : illustrations (black and white, and colour) ; : 25 cm

Edition Identifiers

ISBN:9783319235639, 331923563X, 3319235648, 9783319235646
oclc:ocn915120132
LC Classification:TA174
Dewey Decimal:531.01515

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 …