Overview

This book reviews the most recent results on theoretical and numerical aspects of mathematical modelling and optimization of distributed parameter systems, including their applications in engineering. The main topics discussed include: properties of solutions to partial differential equations; optimization and optimal control of distributed parameter systems; numerical modelling; and applications in mechanical engineering and environmental problems. The book is made up of a number of selected contributions from the International Conference on Modelling and Optimization of Distributed Parameter Systems with Applications to Engineering, organized by the International Federation for Information Processing and held in Warsaw, Poland, in July 1995.

Full Product Details

Author:   K. Malanowski ,  Z. Nahorski ,  M. Peszynska
Publisher:   Chapman and Hall
Imprint:   Chapman and Hall
Edition:   1996 ed.
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   1.620kg
ISBN:  

9780412727009

ISBN 10:   0412727005
Pages:   387
Publication Date:   29 February 1996
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1 Optimal control of periodic systems.- 2 Intrinsic modelling of shells.- 3 Additive Schwarz methods for elliptic mortar finite element problems.- 4 Soil venting.- 5 Mathematical models of hysteresis.- 6 Blow-up points to one phase Stefan problems with Dirichlet boundary conditions.- 7 Some new ideas for Schiffer’s conjecture.- 8 Frequency method for H? operators.- 9 Local smoothing properties of a Schrödinger’s equation with nonconstant principal part.- 10 Regularity results for multiphase Stefan-like equations.- 11 Optimal control of variational inequalities: a mathematical programming approach.- 12 Finite horizon regulator problem: the non-standard case.- 13 On abstract boundary control problems for vibrations.- 14 A frequency domain approach to the boundary control problem for parabolic equations.- 15 Diffusion processes: invertibility problem and guaranteed estimation theory.- 16 Quadratic optimal control of stable abstract linear systems.- 17 Linear quadratic optimal control for abstract linear systems.- 18 Relation between invariant subspaces of the Hamiltonian and the algebraic Riccati equation.- 19 Strong Pontryagin’s principle for state-constrained control problems governed by parabolic equations.- 20 Approximation of noncovex distributed parameter optimal control problems.- 21 A Trotter-type scheme for the generalized gradient of the optimal value function.- 22 Optimal control problems for semilinear parabolic equations with pointwise state constraints.- 23 On the optimal control problem governed by the quasistationary von Kárman’s equations.- 24 Bilinear optimal control of a Kirchhoff plate via internal controllers.- 25 Boundary control problem for a dynamic Kirchhoff plate model with partial observation.- 26 Exact controllability of anisotropicelastic bodies.- 27 Viability for differential inclusions in Banach spaces.- 28 Relaxation of optimal control problems coercive in Lp-spaces.- 29 Adaptive control of semilinear stochastic evolution equations.- 30 Active control of mechanical distributed systems with stochastic parametric excitations.- 31 Mixed finite element for stationary flow of a mixture with barodiffusion.- 32 Additive Schwarz method with strip substructures.- 33 Modelling in numerical simulation of electromagnetic heating.- 34 Effecitve coefficients of thermoconductivity on some symmetric periodically perforated plane structures.- 35 An approach to infinite domains, singularities and superelements in FEM computations.- 36 Evolution law for shock strength in simple elastic structures.- 37 On a class of composite plates of maximal compliance.- 38 An inaccuracy in semi-analytical analysis for Timoshenko beam.- 39 Memory effects and microscale.- 40 The impact of elastic bodies upon a Timoshenko beam.- 41 A shape optimization algorithm for a minimum drag problem in Stokes flow.- Index of contributors.- Keyword index.

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