## Computational Science for the 21st CenturyComputational science can loosely be defined as the endeavor 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, structure, computational physics and chemistry, electromagnetic, 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. |

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### Contents

Preface | xvii |

List of authors | xlv |

Remarks about metastability | 3 |

Copyright | |

52 other sections not shown

### Common terms and phrases

adjoint algorithm analysis Applications approximate controllability Arnoldi assume boundary conditions Cedex France coefficients Computational Computational Fluid Dynamics conjugate gradient consider constant convergence Dassault Aviation defined denote diffusion Dirichlet discrete distribution Domain Decomposition Methods eigenvalues elasticity elliptic problems error estimate Figure finite element methods flow Fluid Dynamics formulation given global GLOWINSKI grid Houston implementation initial INRIA interface J.L. Lions Krylov subspace Lagrange multiplier Lemma linear systems Lyapunov exponent Math Mathematics matrix Mechanics mesh mixed finite element Navier-Stokes equations Newton nodes Numerical Methods numerical simulation numerical solution obtained operator orthogonal parallel parallel computers parameter Paris Partial Differential Equations PERIAUX piecewise PIRONNEAU power method preconditioned preconditioner pressure proof satisfies scheme Sciences semigroup SIAM solve solver space Springer-Verlag step Stokes problem structure subdomains TALLEC techniques Theorem turbulence unique University variables variational vector velocity wave wavelet wavelet systems