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  1. No Access

    Chapter

    Numerical Simulation of High Frequency Scattering Waves Using Exact Controllability Methods

    The main goal of this article is to introduce a novel method for solving the Helmholtz equations from Acoustics and two-dimensional Electro-Magnetics. The key idea of the method is to go back to the original w...

    M. O. Bristeau, R. Glowinski, J. Periaux in Nonlinear Hyperbolic Problems: Theoretical… (1993)

  2. No Access

    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...

    R. Glowinski, J. Periaux, M. Ravachol… in Algorithmic Trends in Computational Fluid … (1993)

  3. No Access

    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...

    R. Glowinski in Boundary Control and Boundary Variation (1992)

  4. No Access

    Chapter

    A Fictitious Domain Method for the Incompressible Navier-Stokes Equations

    In this article we briefly discuss a fictitious domain method for the numerical solution of the Navier-Stokes equations modelling incompressible viscous flow. The methodology described here takes a systematic ...

    R. Glowinski, T. W. Pan, J. Periaux, M. Ravachol in The finite element method in the 1990’s (1991)

  5. No Access

    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...

    H. Carlsson, R. Glowinski in Advances in Kinetic Theory and Continuum Mechanics (1991)

  6. No Access

    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...

    A. Bensoussan, R. Glowinski in Stochastic Systems and Optimization (1989)

  7. No Access

    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).

    M. O. Bristeau, R. Glowinski, B. Mantel… in Numerical Simulation of Compressible Navie… (1987)

  8. No Access

    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.

    M. O. Bristeau, R. Glowinski, J. Periaux… in Numerical Simulation of Compressible Navie… (1987)

  9. No Access

    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...

    R. Glowinski, B. Mantel, J. Periaux… in Analysis of Laminar Flow over a Backward F… (1984)

  10. No Access

    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.

    R. Glowinski, P. Le Tallec… in Nonlinear Finite Element Analysis in Struc… (1981)

  11. Chapter and Conference Paper

    On the solution of a class of non linear dirichlet problems by a penalty-duality method and finite elements of order one

    R. Glowinski, A. Marrocco in Optimization Techniques IFIP Technical Con… (1975)

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