On considère des méthodes de Galerkin stochastiques pour des systèmes hyperboliques faisant intervenir des données en entrée incertaines de lois de distribution connues paramétrées par des variables aléatoires. On s'intéresse à des problèmes où un choc apparaît presque sûrement en temps fini. Dans ce cas, la solution peut développer des discontinuités dans les domaines spatial et stochastique. On utilise un schéma de Volumes Finis pour la discrétisation spatiale et une projection de Galerkin basée sur une approximation polynomiale par morceaux pour la discrétisation stochastique. On propose un solveur de type Roe avec correcteur entropique pour le système de Galerkin, utilisant une technique originale pour approcher la valeur absolue de la ...
This paper deals with the design of adaptive anisotropic discretization schemes for conservation law...
This paper deals with the design of adaptive anisotropic discretization schemes for conservation law...
summary:We introduce a new tool for obtaining efficient a posteriori estimates of errors of approxim...
This work is concerned with stochastic Galerkin methods for hyperbolic systems involving uncertain d...
This work is concerned with stochastic Galerkin methods for hyperbolic systems involving uncertain d...
AbstractThis paper deals with intrusive Galerkin projection methods with a Roe-type solver for treat...
International audienceThis paper deals with intrusive Galerkin projection methods with Roe-type solv...
International audienceThis paper deals with intrusive Galerkin projection methods with Roe-type solv...
AbstractThis paper deals with intrusive Galerkin projection methods with a Roe-type solver for treat...
This thesis presents a reliable and efficient algorithm for combined model uncertainty and discretiz...
This thesis presents a reliable and efficient algorithm for combined model uncertainty and discretiz...
International audienceThis paper deals with spectral stochastic methods for uncertainty propagation ...
International audienceThis paper deals with spectral stochastic methods for uncertainty propagation ...
International audienceThis paper deals with spectral stochastic methods for uncertainty propagation ...
A multiresolution analysis for solving stochastic conservation laws is proposed. Using a novel adapt...
This paper deals with the design of adaptive anisotropic discretization schemes for conservation law...
This paper deals with the design of adaptive anisotropic discretization schemes for conservation law...
summary:We introduce a new tool for obtaining efficient a posteriori estimates of errors of approxim...
This work is concerned with stochastic Galerkin methods for hyperbolic systems involving uncertain d...
This work is concerned with stochastic Galerkin methods for hyperbolic systems involving uncertain d...
AbstractThis paper deals with intrusive Galerkin projection methods with a Roe-type solver for treat...
International audienceThis paper deals with intrusive Galerkin projection methods with Roe-type solv...
International audienceThis paper deals with intrusive Galerkin projection methods with Roe-type solv...
AbstractThis paper deals with intrusive Galerkin projection methods with a Roe-type solver for treat...
This thesis presents a reliable and efficient algorithm for combined model uncertainty and discretiz...
This thesis presents a reliable and efficient algorithm for combined model uncertainty and discretiz...
International audienceThis paper deals with spectral stochastic methods for uncertainty propagation ...
International audienceThis paper deals with spectral stochastic methods for uncertainty propagation ...
International audienceThis paper deals with spectral stochastic methods for uncertainty propagation ...
A multiresolution analysis for solving stochastic conservation laws is proposed. Using a novel adapt...
This paper deals with the design of adaptive anisotropic discretization schemes for conservation law...
This paper deals with the design of adaptive anisotropic discretization schemes for conservation law...
summary:We introduce a new tool for obtaining efficient a posteriori estimates of errors of approxim...