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- O Pironneau, Sri Aurobindo, +25 authors Stoufflet
- 2002

MacDraw, MacWrite, Macintosh are trade marks of Apple Computer Co. T E Xis a trade mark of the American Math. Society. Introduction 1. Partial differential equations of fluid mechanics. 7 ... The Unseen grew visible to student eyes, Explained was the immense Inconscient's scheme, Audacious lines were traced upon the void; The Infinite was reduced to square… (More)

This two-part paper examines two approaches for mesh adaptation, using combinations of a posteriori error estimates and domain decomposition. In the first part, we consider a domain decomposition method applied to the generalized Stokes problem, with mesh adaptation in each subdomain using the a posteri-ori local error estimator as adaptation indicator. We… (More)

- Jacques P Eriaux, Mourad Sefrioui, Bertrand Mantel
- 2007

The problem of nding an optimal distribution of active control elements in order to minimize the backscattering of a reeector in Computational Electromagnetics is twofold. The optimization process must take into account both the distribution of the active elements on the surface of the obstacle and the value of the phase and amplitude for each active… (More)

In this study, a linear active-control model problem is employed to conduct a preliminary performance comparison between a genetic algorithm and a classical optimization method based on the evaluation of a gradient of functional. For this purpose, we consider a system modeled by the heat equation in one space dimension controled by a source term. The cost… (More)

This paper is concerned with the Cubic Interpolation scheme CIP proposed by T. Yabe for the Galerkin Characteristic Method and the possibility of improving the precision of PDE solvers when the differentiated form of the equation is used. For convection diffusion equations a Lagrangian treatment of the convective term is analyzed for various approximations… (More)

The main goal of this paper is to study adaptive mesh techniques, using a posteriori error estimates, for the nite element solution of the Navier-Stokes equations modeling steady and unsteady ows of viscous uids. Among existing operator splitting techniques, the-scheme is used for time integration of the Navier-Stokes equations. Then a posteriori error… (More)

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