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Chapter and Conference Paper
Injection Vapour Model in a Porous Medium Accounting for a Weak Condensation
For studying the impact of a hight pressure vapor on a concrete wall, we propose a stationary 3D homogenized model. We show that the interface evolves as a (shock or rarefaction) wave accordingly with the mobi...
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Chapter and Conference Paper
Viscous Drops Spreading With Evaporation And Applications To DNA Biochips
We develop a lubrication model for the viscous drop spreading with evaporation. It is then solved in the quasi-static case and the numerical method is used in the parameter identification in the application to...
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Article
A posteriori error estimates and domain decomposition with nonmatching grids
Let F be a nonlinear map** defined from a Hilbert space X into its dual X′, and let x be in X the solution of F(x)=0. Assume that, a priori, the zone where the gradient of the function x has a large variation ...
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Article
Adaptive finite element for semi-linear convection–diffusion problems
In this article a strategy of adaptive finite element for semi-linear problems, based on minimizing a residual-type estimator, is reported. We get an a posteriori error estimate which is asymptotically exact w...