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Electromagnetism. --- numerical methods --- computational techniques applied to em field problems --- coupled field problems --- optimization techniques --- propagation and diffraction

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This volume deals with numerical simulation of coupled problems in soil mechanics and foundations. It contains analysis of both shallow and deep foundations. Several nonlinear problems are considered including, soil plasticity, cracking, reaching the soil bearing capacity, creep, etc. Dynamic analysis together with stability analysis are also included. Several numerical models of dams are considered together with coupled problems in soil mechanics and foundations. It gives wide range of modelling soil in different parts of the world. This volume is part of the proceedings of the 1st GeoMEast International Congress and Exhibition on Sustainable Civil Infrastructures, Egypt 2017.

Earth sciences. --- Geotechnical engineering. --- Numerical analysis. --- Civil engineering. --- Earth Sciences. --- Geotechnical Engineering & Applied Earth Sciences. --- Civil Engineering. --- Numerical Analysis. --- Engineering --- Public works --- Mathematical analysis --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology --- Geosciences --- Environmental sciences --- Physical sciences --- Soil mechanics --- Coupled problems (Complex systems) --- Numerical solutions --- Coupled field problems (Complex systems) --- Problems, Coupled (Complex systems) --- Dynamics --- System analysis

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This book presents and discusses mathematical models, numerical methods and computational techniques used for solving coupled problems in science and engineering. It takes a step forward in the formulation and solution of real-life problems with a multidisciplinary vision, accounting for all of the complex couplings involved in the physical description. Simulation of multifaceted physics problems is a common task in applied research and industry. Often a suitable solver is built by connecting together several single-aspect solvers into a network. In this book, research in various fields was selected for consideration: adaptive methodology for multi-physics solvers, multi-physics phenomena and coupled-field solutions, leading to computationally intensive structural analysis. The strategies which are used to keep these problems computationally affordable are of special interest, and make this an essential book.

Coupled problems (Complex systems) --- Engineering mathematics --- Mathematical models. --- Data processing. --- Coupled field problems (Complex systems) --- Problems, Coupled (Complex systems) --- Dynamics --- System analysis --- Mechanics, applied. --- Computer science. --- Theoretical and Applied Mechanics. --- Computational Science and Engineering. --- Numerical and Computational Physics, Simulation. --- Informatics --- Science --- Applied mechanics --- Engineering, Mechanical --- Mechanics. --- Mechanics, Applied. --- Computer mathematics. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Computer mathematics --- Electronic data processing --- Mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Quantum theory

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This book considers a problem of block-oriented nonlinear dynamic system identification in the presence of random disturbances. This class of systems includes various interconnections of linear dynamic blocks and static nonlinear elements, e.g., Hammerstein system, Wiener system, Wiener-Hammerstein ("sandwich") system and additive NARMAX systems with feedback. Interconnecting signals are not accessible for measurement. The combined parametric-nonparametric algorithms, proposed in the book, can be selected dependently on the prior knowledge of the system and signals. Most of them are based on the decomposition of the complex system identification task into simpler local sub-problems by using non-parametric (kernel or orthogonal) regression estimation. In the parametric stage, the generalized least squares or the instrumental variables technique is commonly applied to cope with correlated excitations. Limit properties of the algorithms have been shown analytically and illustrated in simple experiments.

Engineering. --- Systems theory. --- Control. --- Systems Theory, Control. --- Nonlinear Dynamics. --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Construction --- System theory. --- Statistical physics. --- Control engineering. --- Large scale systems. --- Coupled problems (Complex systems) --- Coupled field problems (Complex systems) --- Problems, Coupled (Complex systems) --- Dynamics --- System analysis --- Systems, Large scale --- Engineering systems --- Control and Systems Theory. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Physics --- Mathematical statistics --- Systems, Theory of --- Systems science --- Science --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Statistical methods --- Philosophy

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This volume contains selected contributions originating from the ‘Conference on Optimal Control of Coupled Systems of Partial Differential Equations’, held at the ‘Mathematisches Forschungsinstitut Oberwolfach’ in April 2005. With their articles, leading scientists cover a broad range of topics such as controllability, feedback-control, optimality systems, model-reduction techniques, analysis and optimal control of flow problems, and fluid-structure interactions, as well as problems of shape and topology optimization. Applications affected by these findings are distributed over all time and length scales starting with optimization and control of quantum mechanical systems, the design of piezoelectric acoustic micro-mechanical devices, or optimal control of crystal growth to the control of bodies immersed into a fluid, airfoil design, and much more. The book addresses advanced students and researchers in optimization and control of infinite dimensional systems, typically represented by partial differential equations. Readers interested either in theory or in numerical simulation of such systems will find this book equally appealing.

Differential equations, Partial --- Coupled problems (Complex systems) --- Coupled field problems (Complex systems) --- Problems, Coupled (Complex systems) --- Dynamics --- System analysis --- Global analysis (Mathematics). --- Differential equations, partial. --- Systems theory. --- Mathematical optimization. --- Analysis. --- Partial Differential Equations. --- Systems Theory, Control. --- Optimization. --- System theory. --- Systems, Theory of --- Systems science --- Science --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- Partial differential equations --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Philosophy --- Mathematical analysis. --- Analysis (Mathematics). --- Partial differential equations. --- 517.1 Mathematical analysis