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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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Article
A boundary multiplier/fictitious domain method for the steady incompressible Navier-Stokes equations
We analyze the error of a fictitious-domain method with boundary Lagrange multiplier. It is applied to solve a non-homogeneous steady incompressible Navier-Stokes problem in a domain with a multiply-connected...
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Article
Approximation of some stochastic differential equations by the splitting up method
In this paper we deal with the convergence of some iterative schemes suggested by Lie-Trotter product formulas for stochastic differential equations of parabolic type. The stochastic equation is split into two...
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Book
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Book
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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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Book
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Chapter
Solution of the Compressible Navier-Stokes Equations by Least-Squares and Finite Element Methods
We discuss in this paper two methods for the numerical simulation of compressible viscous flows, associated with two types of mathematical modelling assuming that the total enthalpy is constant (M1) or not (M2).
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Chapter
Presentation of Problems and Discussion of Results
The workshop was organized with the specific purpose to bring together a small number of scientists highly concerned with the numerical solution of the compressible Navier-Stokes equations.
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Chapter
Finite element methods for solving the Navier-Stokes equations for compressible unsteady flows
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Chapter
Finite Element Analysis of Laminar Viscous Flow Over a Step by Nonlinear Least Squares and Alternating Direction Methods
We use in this paper a method described in DINH-GLOWINSKIMANTEL-PERIAUX [1], for which we refer for more details for solving the time dependent Navier-Stokes equations for incompressible viscous fluids. This m...