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Mathematical Modeling and Optimization of Complex Structures

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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.

Author(s): Pekka Neittaanmäki, Sergey Repin, Tero Tuovinen
Series: Computational Methods in Applied Sciences
Edition: 1st ed. 2016
Publisher: Springer
Year: 2015

Language: English
Pages: 328
Tags: Engineering Design; Computational Science and Engineering; Theoretical and Applied Mechanics

Front Matter....Pages i-xxi
Front Matter....Pages 1-1
Computational Issues for Optimal Shape Design in Hemodynamics....Pages 3-20
Functional A Posteriori Error Estimate for a Nonsymmetric Stationary Diffusion Problem....Pages 21-30
Error Estimates of Uzawa Iteration Method for a Class of Bingham Fluids....Pages 31-42
An Automatic Differentiation Based Approach to the Level Set Method....Pages 43-57
Front Matter....Pages 59-59
Differential Fluid Mechanics—Harmonization of Analytical, Numerical and Laboratory Models of Flows....Pages 61-91
Effect of Friction in Sliding Contact of a Sphere Over a Viscoelastic Half-Space....Pages 93-103
Stability of a Tensioned Axially Moving Plate Subjected to Cross-Direction Potential Flow....Pages 105-116
Multiaxial Fatigue Criteria and Durability of Titanium Compressor Disks in Low- and Very-high-cycle Fatigue Modes....Pages 117-130
Dynamic Analysis for Axially Moving Viscoelastic Poynting–Thomson Beams....Pages 131-151
A Projection Approach to Analysis of Natural Vibrations for Beams with Non-symmetric Cross Sections....Pages 153-173
On Bifurcation Analysis of Implicitly Given Functionals in the Theory of Elastic Stability....Pages 175-188
Front Matter....Pages 189-189
Proximal Bundle Method for Nonsmooth and Nonconvex Multiobjective Optimization....Pages 191-204
Efficient Parallel Nash Genetic Algorithm for Solving Inverse Problems in Structural Engineering....Pages 205-228
Efficient Variational Design Sensitivity Analysis....Pages 229-257
A Variational Approach to Modelling and Optimization in Elastic Structure Dynamics....Pages 259-279
Contact Optimization Problems for Stationary and Sliding Conditions....Pages 281-312
Some Problems of Multipurpose Optimization for Deformed Bodies and Structures....Pages 313-328