Tours (France)

Organization:

**CONTENTS OF THE CONFERENCE BOOK:**

**C**OMPUTATIONAL SCIENCE
FOR THE **21**ST CENTURY

Edited by

**M-O. Bristeau**, *INRIA Rocquencourt, Le Chesnay, France*

**G. Etgen**, *University of Houston, USA*

**W. Fitzgibbon**, *University of Houston, USA*

**J.L. Lions**, *Collège de France, Paris, France*

**J. Périaux**, *Dassault Aviation, Saint Cloud, France*

**M.F. Wheeler**, *University of Texas at Austin, USA*

Computational science can loosely be defined as the endeavour to develop and analyse models for the simulation and control of complex processes. This is achieved by making optimal use of computer resources and by drawing upon a variety of disciplines, techniques and theories. With the emergence of advanced computational and information technologies, computational science now has a significant impact on engineering, physical, biological, management and social sciences.

The contributions in this state-of-the-art volume range from theoretical and numerical topics to practical implementations. The subject matter includes modelling, mathematical and numerical analysis, differential equations, linear algebra, optimization, domain decomposition, computational fluid dynamics, computational mechanics, elasticity, structures, computational physics and chemistry, electromagnetics, control theory and other applications.

This volume is dedicated to Roland Glowinski on the occasion of his 60th birthday. It is aimed at the next generation of scientists, applied mathematicians, computer scientists, practitioners and engineers who will define computational science within the context of the challenging scientific, industrial, economic and societal problems of the 21st century.

**Published by JOHN WILEY & SONS
ISBN 0.471.97.298.3**

**Research achievement: an analysis**

**List of authors**

**CHAPTER 1 MATHEMATICAL ANALYSIS**

Remarks about metastability

*R. Jordan, D. Kinderlehrer, F. Otto*

Global solutions to the system of the motion of elastic strings

*L. Ta-tsien, L. Da-qian*

Regularity results for the solution of the Cauchy problem to Navier-Stokes equations

*J. Necas*

Analyticity, and the lack thereof, of semigroups arising from
thermo-elastic plates

*R. Triggiani*

**CHAPTER 2 NUMERICAL LINEAR ALGEBRA**

Roundoff induces a chaotic behaviour for eigensolvers applied to highly
nonnormal matrices

*T. Braconnier, F. Chaitin-Chatelin*

About Newton-Krylov methods

*J. Erhel*

New approaches to large scale eigenanalysis

*D. C. Sorensen*

An approach to continuation using Krylov subspace methods

*H. F. Walker*

**CHAPTER 3 MULTIGRIDS, DOMAIN DECOMPOSITION & FICTITIOUS
DOMAIN METHODS**

Adaptive algorithms and a posteriori error estimates on partitioned meshes

*R. E. Bank, J. Périaux*

Parallel domain decomposition for reaction-diffusion problems

*M. Bercovier, N. Volfovsky, H. Parnas*

Parallel solutions of optimal-control problems by time-domain decomposition

*M. Berggren,M. Heinkenschloss*

An analytic basis for multigrid methods for the stabilized finite
element methods for the Stokes problem

*Z. Cai, J. Douglas Jr*

Numerical quadratures and mortar methods

*L. Cazabeau, C. Lacour, Y. Maday*

Local inexact Newton multilevel FEM for nonlinear elliptic problems

*P. Deuflhard, M. Weiser*

An analytical study of the optimal speed of convergence of iterations in
DDM under certain shape assumptions of domains

*H. Fujita, N. Saito*

A fictitious domain method for Navier-Stokes equations

*V. Girault, R. Glowinski, H. López, J.-P. Vila*

Parallel solution of the wave equation using higher order finite elements

*M. Kern*

Iterative analysis of finite element problems with Lagrange multipliers

*Y. Kuznetsov*

On embedding techniques for 2nd-order elliptic problems

*A. Rieder*

Sharp estimates on intergrid transfer operators for
*P _{1}*-nonconforming element and Morley element

Non-overlapping domain decomposition methods

*R. Verfürth*

**CHAPTER 4 NUMERICAL SCHEMES & CFD**

A non-oscillatory modified method of characteristics algorithm

*R. Bermejo*

On the self-stabilization of Galerkin-finite element methods for flow problems

*T. Chacon-Rebollo, A. D. Delgado*

Generalized cell-centered finite volume methods: application to two-phase flow in porous media

*G. Chavent, J. Jaffré, J.E. Roberts*

On an operator related to the convergence of Uzawa's algorithm for the Stokes equation

*M. Crouzeix*

Computational sciences in environmental applications

*R. E. Ewing*

Remarks on a parallel algorithm for the Navier-Stokes equations

*E. Fernández-Cara*

Distributed Lagrange multiplier methods for particulate flows

*R. Glowinski, T. Hesla, D. D. Joseph, T.-W. Pan, J. Périaux*

Glowinski-Pironneau method for 3D **-**equations

*J.-L. Guermond, L. Quartapelle*

A preconditioned GMRES algorithm for compressible and incompressible flows

*S. Idelsohn, N. Nigro, M. Storti*

Numerical solution of the incompressible fluid flows using lattice Boltzmann method

*N. Satofuka, T. Nishioka*

A fluid particle motion simulation method

*A.-K. Tornberg, R. W. Metcalfe, R. Scott, B. Bagheri*

**CHAPTER 5 APPLICATIONS & CFD**

Numerical experiments on non-equilibrium effects in rarefied high velocity flows

*J.-F. Bourgat*

Numerical simulation of turbulent flows on unstructured meshes by using
finite element methods

*J.-P. Chabard, F. Archambeau, O. Bonnin, D. Laurence, G. Pot*

The simulation of 3D unsteady inviscid compressible flows with moving boundaries

*K. Morgan, L. B. Bayne, O. Hassan, E. J. Probert, N. P. Weatherill*

Some problems and paths to next century unsteady multiscale CFD

*P. Perrier*

Modeling and simulation of blood flow problems

*A. Quarteroni, A. Veneziani*

Turbulence modeling

*M. Ravachol*

A few issues of future simulation tools in computational fluid dynamics
for aeronautical applications

*B. Stoufflet*

**CHAPTER 6 COMPUTATIONAL PHYSICS & CHEMISTRY**

Thermal diffusion effects in multicomponent flows

*A. Ern, V. Giovangigli*

Analysis and numerical simulation for models of binary alloy solidification

*F. Gaillard, J. Rappaz*

Some mathematical and numerical aspects of reduction in chemical kinetics

*B. Larrouturou, B. Sportisse*

Computational challenges in theoretical chemistry

*B. M. Pettitt, P.E. Smith*

Variational methods for biomedical computing

*W. Lawton, N. Lek, T. Poston, R. Raghavan, S. R. Ranjan, R. Viswanathan, Y. P. Wang, Y. Yu*

Coupling 1D and 2D mixed simulation of heterogeneous semiconductor devices

*A. Marrocco*

**CHAPTER 7 COMPUTATIONAL ELECTROMAGNETICS**

Thermoelectrical simulation of electrodes for reduction furnaces

*A. Bermúdez, J. Bullón, F. Pena*

Optimal shape design for radar cross section minimisation: the case of cylindrical bodies

*J. Blum, M. Mandallena*

Exact controllability methods for calculation of 3D time-periodic Maxwell solutions

*M.-O. Bristeau*

An asymptotic approach of the scattering of electromagnetic waves by thin
coatings with ferromagnetic materials

*P. Joly, C. Poirier*

Application of exact controllability and genetic algorithms to the
problem of scattering waves

*J. Periaux, B. Mantel, H. Q. Chen*

**CHAPTER 8 COMPUTATIONAL ELASTICITY & STRUCTURES**

A criterion for stability of structures in the neighbourhood of a limit-point

*E. Absi, A. Rigolot*

Homogenization of a transmission problem in 2D elasticity

*L. Baffico, C. Conca*

On the role of the interface in the constructive or approximate solution of junction problems

*R. L. V. González, E. Rofman*

Convergence rates for semidiscrete FEM approximations of dynamic nonlinear shallow shells

*I. Lasiecka, R. Marchand*

Domain decomposition techniques for nonlinear elasticity problems

*P. Le Tallec, M. Vidrascu*

**CHAPTER 9 OPTIMIZATION**

Investigation of a class of inverse problems on optimal boundaries

*V. Agoshkov*

Augmented Lagrangian and total variation methods for recovering
discontinuous coefficients from elliptic equations

*T. F. Chan, X.-C. Tai*

Aspects of optimal control on aerodynamics

*A. Dervieux, J.-A. Désidéri, N. Marco*

Aerodynamic design

*A. Jameson*

Some relations between two strategies for solving optimal control
problems with bilinear constraints

*T. Kärkkäinen, P. Neittaanmäki*

Fuzzy optimization method

*H. Kawarada, H. Suito*

**CHAPTER 10 CONTROL**

Control theoretic methods for the computation of special solutions of differential equations

*G. Auchmuty*

Smart structures and super stability

*A. V. Balakrishnan*

Penalization methods applied to nonlinear elliptic unilateral problems

*A. Bensoussan, L. Boccardo*

Approximate controllability and obstruction phenomena for quasilinear diffusion equations

*J. I. Díaz, A. M. Ramos*

A rapid prototyping workstation for design of distributed parameter control systems

*C. LaVigna, M. Mattice, H. G. Kwatny, G. L. Blankenship*

On the approximate controllability with global state constraints

*J. L. Lions*

Sensitivity of functionals

*G. Marchuk*

Approximate controllability of the semilinear heat equation: boundary control

*E. Zuazua*

**CHAPTER 11 COMPUTERS & SYSTEMS**

On numerical schemes for computing the price of look-back options

*G. Barles, C. Daher, M. Romano, C. Tezier*

An industrial vision of scientific computation for the 21st century

*P. Bohn*

Crisis or mutation in high-performance computing

*P. Caseau*

Filtering techniques in parallel computing

*A. Ecer, H. U. Akay, N. Gopalaswamy*

The description of the geographic spread in infectious disease

*W. E. Fitzgibbon, M. Langlais*

Vector finite elements and C++

*F. Hecht, O. Pironneau*

Numerical studies of the Gauss lattice problem

*H. B. Keller*

A robust resolution for the Zakai equation and infinitesimal generator of the asymptotic filtering
process

*P. Malliavin*

Coifman wavelet systems: approximation, smoothness and computational algorithms

*J. Tian, R. O. Wells Jr, J. E. Odergard, C. S. Burrus*

INRIA Ucis