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