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Wednesday, July 22, 2020 | History

5 edition of Optimization of Elliptic Systems found in the catalog.

Optimization of Elliptic Systems

Theory and Applications (Springer Monographs in Mathematics)

by Pekka Neittaanmaki

  • 36 Want to read
  • 11 Currently reading

Published by Springer .
Written in English


The Physical Object
Number of Pages512
ID Numbers
Open LibraryOL7444992M
ISBN 100387272356
ISBN 109780387272351

Additional Sources for Math Book Reviews; About MAA Reviews; Mathematical Communication; Information for Libraries; Author Resources; Advertise with MAA; Meetings. MAA MathFest. Register Now; Registration Rates and Other Fees; Exhibitors and Sponsors; Abstracts; Chronological Schedule; Mathematical Sessions. Invited Addresses; Invited Paper. Qualitative behavior. Elliptic equations have no real characteristic curves, curves along which it is not possible to eliminate at least one second derivative of from the conditions of the Cauchy problem. Since characteristic curves are the only curves along which solutions to partial differential equations with smooth parameters can have discontinuous derivatives, solutions to elliptic.

  J.J. Huang, L.X. Zheng, Q. Mei, Design and optimization method of a two-disk rotor system, International Journal of Turbo & Jet-Engines, 33() mechanism with planetary elliptic gears is constructed.   Unlike the description written above, the book is an introductory presentation to the theory of elliptic systems of partial differential equations with an emphasis to regularity results. It is very concise and at the same time, rather comprehensive as an introductory s: 2.

  1. Introduction. Some investigations confirmed that Bi-Elliptic transfer (three impulse transfer) are more economical than the two impulse transfer, for some types of transfer, between coplanar and moreover non-coplanar orbits as is demonstrated that the Bi-Elliptic transfer is the optimal transfer among all three impulse transfers, for the systems of coplanar circular orbits, when. We study a nonconvex, nondifferentiable problem of optimal control where the state of the system is defined by an elliptic variational inequality with obstacle, and where the cost function is.


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Optimization of Elliptic Systems by Pekka Neittaanmaki Download PDF EPUB FB2

This monograph provides a comprehensive and accessible introduction to the optimization of elliptic systems.

This area of mathematical research, which has many important application in science and technology, has experienced an impressive development during the last two decades. "The book gives a comprehensive view of the optimization of systems governed by partial differential equations of elliptic type.

The book is carefully written. Basic tools of convex analysis, an abstract optimization theory, notions on the well-posedness of elliptic systems, and the existence results for optimal control problems are Cited by: "The book gives a comprehensive view of the optimization of systems governed by partial differential equations of elliptic type.

The book is carefully written. Basic tools of convex analysis, an abstract optimization theory, notions on the well-posedness of elliptic systems, and the existence results for optimal control problems are.

From the reviews:"The book gives a comprehensive view of the optimization of systems governed by partial differential equations of elliptic type. The book is carefully written. Basic tools of convex analysis, an abstract optimization theory, notions on the well-posedness of elliptic systems, and the existence results for optimal control.

This book is intended to be both a thorough introduction to contemporary research in optimization theory for elliptic systems with its numerous applications and a textbook at the undergraduate and graduate level for courses in pure or applied mathematics or in continuum mechanics.

Optimization Control Problems for Systems Described by Elliptic Variational Inequalities with State Constraints. Methods of Fourier Analysis and Approximation Theory, () Preconditioners for reduced saddle point systems arising in elliptic PDE-constrained optimization Cited by: () Optimization-based estimation of random distributed parameters in elliptic partial differential equations.

IEEE 51st IEEE Conference on Decision and Control (CDC), () Finite Element Analysis of an Optimal Control Problem in the Coefficients of Cited by:   Optimization in Solving Elliptic Problems describes the construction of computational algorithms resulting in the required accuracy of a solution and having a pre-determined computational complexity.

Construction of asymptotically optimal algorithms is demonstrated for multi-dimensional elliptic boundary value problems under general by: The study of optimal shape design can be arrived at by asking the following question: "What is the best shape for a physical system?" This book is an applications-oriented study of such physical systems; in particular, those which can be described by an elliptic partial differential equation and where the shape is found by the minimum of a single criterion function.

Cite this chapter as: () Optimization of Curved Mechanical Systems. In: Optimization of Elliptic Systems. Springer Monographs in Mathematics. Serovajsky S. () Optimization Control Problems for Systems Described by Elliptic Variational Inequalities with State Constraints.

In: Ruzhansky M., Tikhonov S. (eds) Methods of Fourier Analysis and Approximation Theory. Applied and Numerical Harmonic Analysis.

Birkhäuser, Cham. The paper is devoted to analysis of optimization problems in coefficients of fourth order elliptic boundary value problems.

Similar problems were investigated in Cited by: Optimization in Solving Elliptic Problems focuses on one of the most interesting and challenging problems of computational mathematics - the optimization of numerical algorithms for solving elliptic problems.

It presents detailed discussions of how asymptotically optimal algorithms may be applied to elliptic problems to obtain numerical solutions meeting certain specified requirements. where ~ is a smooth positive function satisfying the ellipticity condition o(Q) + 2~'(Q)q > 0, V denotes the gradient, and [Vs[2 = ~ = 1 ]Vskl 2.

This type of system arises as the EulerLagrange equations for the stat ionary points of an energy integral which has an intrinsic definition on maps between two Riemannian manifolds; the equations are therefore of geometric interest.

However, the. Book Abstract: This book applies the latest applications of new technologies to power system operation and analysis, including new and important areas that are not covered in the previous edition. Optimization of Power System Operation covers both traditional and modern technologies, including power flow analysis, steady-state security region.

Elliptic Partial Differential Equations.- Introduction.- Green's Formula.- Sobolev Spaces.- Linear Elliptic PDE of Order Numerical Solutions of Linear Elliptic Equations of Order Other Elliptic Equations.- Continuous Dependence on the Boundary.- 2.

Buy Optimization in Solving Elliptic Problems on FREE SHIPPING on qualified orders Optimization in Solving Elliptic Problems: Eugene G. D'Yakonov, Steve McCormick: : BooksCited by: System Modeling and Optimization, () A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints.

Computational Optimization and Applications A boundary Pontryagin’s principle for the optimal control of state-constrained elliptic systems. Optimization, Optimal Control and Partial Differential Equations ISNM() Optimal control of elliptic stationary problems with state by: The study of optimal shape design can be arrived at by asking the following question: "What is the best shape for a physical system?" This book is an applications-oriented study of such physical systems; in particular, those which can be described by an elliptic partial differential equation and where the shape is found by the minimum of a single criterion : Springer-Verlag Berlin Heidelberg.

An essential resource for optimizing energy systems to enhance design capability, performance and sustainability. Optimization of Energy Systems comprehensively describes the thermodynamic modelling, analysis and optimization of numerous types of energy systems in various applications.

It provides a new understanding of the system and the process of defining proper .In this book, we focus on the optimal control for Neumann and Dirichlet stochastic elliptic systems in the scalar case and in the non-cooperative system.

View Show abstract.ISBN: OCLC Number: Description: 1 v. (XII p.): illustrations ; 24 cm. Contents: 1. Elliptic Partial Differential Equations.- Introduction.- Green's Formula.- Sobolev Spaces.- Linear Elliptic PDE of Order Numerical Solutions of Linear Elliptic Equations of Order Other Elliptic Equations.-