27 Result(s)
within
Conference Paper
R. Glowinski
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Chapter and Conference Paper
Domain Decomposition and Model Reduction of Systems with Local Nonlinearities
The goal of this paper is to combine balanced truncation model reduction and domain decomposition to derive reduced order models with guaranteed error bounds for systems of discretized partial differential equ...
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Chapter and Conference Paper
Numerical Study of Particle Migration in Tube and Plane Poiseuille Flows
The lateral migration of a single spherical particle in tube Poiseuille flow is simulated by ALE scheme, along with the study of the movement of a circular particle in plane Poiseuille flow with consistent dim...
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Chapter and Conference Paper
Domain Decomposition Methods for Wave Propagation in Heterogeneous Media
The main goal of this paper is to address the numerical solution of a wave equation with discontinuous coefficients by a finite element method using domain decomposition and semimatching grids. A wave equation...
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Chapter and Conference Paper
Domain Embedding/Controllability Methods for the Conjugate Gradient Solution of Wave Propagation Problems
The main goal of this paper is to discuss the numerical simulation of propagation phenomena for time harmonic electromagnetic waves by methods combining controllability and fictitious domain techniques. These ...
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Chapter and Conference Paper
Wavelet Methods in Computational Fluid Dynamics
We discuss in this paper the numerical solution of boundary value problems for partial differential equations by methods relying on compactly supported wavelet approximations. After defining compactly supporte...
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Chapter and Conference Paper
Boundary controllability problems for the wave and heat equations
The main goal of this note is to discuss in the spirit of the Hilbert Uniqueness Method of J.L. Lions the solution of boundary controllability problems for the wave and heat equations. After a discussion of th...
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Chapter and Conference Paper
Vibrations of Euler-Bernoulli Beams with Pointwise Obstacles
In this paper, we discuss the numerical simulation of the vibrations of a beam in the presence of pointwise obstacles. We suppose that these vibrations are modeled by the Euler-Bernoulli equation for linear be...
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Chapter and Conference Paper
Stabilization of the Navier-Stokes solutions via control techniques
Control techniques have already played an interesting role in the construction of effective methods for solving nonlinear problems in Fluid Mechanics ([1], [2]). Indeed, some limiter techniques for compressibl...
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Chapter and Conference Paper
Adaptive finite element methods for three dimensional compressible viscous flow simulation in aerospace engineering
We have briefly discussed here the numerical solution of the compressible Navier-Stokes equations written in non conservative form. We have shown by these first results that approximations satisfying some “Inf...
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Chapter and Conference Paper
Approximation of Zakai equation by the splitting up method
The objective of this article is to apply an operator splitting method to the time integration of Zakaï equation. Using this approach one can decompose the numerical integration into a stochastic step and a de...
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Chapter and Conference Paper
Supercomputing and the Finite Element Approximation of the Navier-Stokes Equations for Incompressible Viscous Fluids
We discuss in this paper the numerical simulation of unsteady incompressible flows modeled by the Navier-Stokes equations, concentrating most particularly to flows at Reynold number of the order of 103 to 104. Th...
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Chapter and Conference Paper
On the coupling of incompressible viscous flows and incompressible potential flows via domain decomposition
Least squares matching seems to provide a robust methodology for coupling multimodels description of flow problems; its efficient implementation on multi-processor machines requires further studies in order to...
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Chapter and Conference Paper
Finite element, least squares and domains decomposition methods for the numerical solution of nonlinear problems in fluid dynamics
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Chapter and Conference Paper
Numerical simulation for some applied problems originating from continuum mechanics
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Chapter and Conference Paper
Approximate solution of the navier-stokes equations for incompressible viscous fluids, related domain decomposition methods
We have discussed in this section a method for solving partial differential problems on a domain, founded on a subdomains decomposition. The methods obtained from that decomposition are quite efficient and hav...
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Chapter and Conference Paper
Approximate Solution of Nonlinear Problems in Incompressible Finite Elasticity
The main goal of this paper is to describe some numerical methods for solving nonlinear variational problems in incompressible finite elasticity.
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Chapter and Conference Paper
A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution
We present in this paper a method for the numerical solution of the steady and unsteady Navier-Stokes equations for incompressible viscous fluids. This method is based on the following techniques:
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Chapter and Conference Paper
On solving a mixed finite element approximation of the dirichlet problem for the biharmonic operator by a "quasi-direct" method and various iterative methods
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Chapter and Conference Paper
Calcul D’ecoulements Transoniques Par des Methodes D’elements Finis et de Controle Optimal
Dans ce travail, on montre comment l’on peut résoudre les équations des écoulements irrotationnels adiabatiques compressibles aux vitesses transoniques en leur associant des problèmes de contrôle optimal de sy...
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Chapter and Conference Paper
Use of optimal control theory for the numerical simulation of transonic flow by the method of finite elements
It is shown that the transonic equation for compressible potential flow is equivalent to an optimal control problem of a linear distributed parameter system. This problem can be discretized by the finite eleme...
