Add to ORKGNumerical methods for partial differential equations with multiple scales that combine numerical homogenization methods with reduced order modeling techniques are discussed. These numerical methods can be applied to a variety of problems including multiscale nonlinear elliptic and parabolic problems or Stokes flow in heterogenenous media
In this work we introduce and analyze a new multiscale method for strongly nonlinear monotone equati...
Computing the macroscopic material response of a continuum body commonly involves the formulation of...
In this thesis, we consider the numerical approximation of solutions of partial differential equatio...
to appear in DCDS-S, 26 pagesInternational audienceA reduced basis nite element heterogeneous multis...
to appear in DCDS-S, 26 pagesInternational audienceA reduced basis nite element heterogeneous multis...
A new finite element method for the efficient discretization of elliptic homogenization problems is ...
An adaptive reduced basis finite element heterogeneous multiscale method (RB-FE-HMM) is proposed for...
The reduced basis finite element heterogeneous multiscale method (RB-FE-HMM) for a class of nonlinea...
A reduced basis Darcy-Stokes finite element heterogeneous multiscale method (RB-DS-FE-HMM) is propos...
13 pagesInternational audienceInspired by recent analyses of the finite element heterogeneous multis...
A broad range of scientific and engineering problems involve multiple scales. For example, composite...
Abstract. Multiscale partial differential equations (PDEs) are difficult to solve by traditional num...
In this paper we provide a general framework for model reduction methods applied to fluid flow in po...
International audienceMultiscale partial differential equations (PDEs) are difficult to solve by tra...
The multiscale finite element method (MsFEM) is developed in the vein of the Crouzeix--Raviart eleme...
In this work we introduce and analyze a new multiscale method for strongly nonlinear monotone equati...
Computing the macroscopic material response of a continuum body commonly involves the formulation of...
In this thesis, we consider the numerical approximation of solutions of partial differential equatio...
to appear in DCDS-S, 26 pagesInternational audienceA reduced basis nite element heterogeneous multis...
to appear in DCDS-S, 26 pagesInternational audienceA reduced basis nite element heterogeneous multis...
A new finite element method for the efficient discretization of elliptic homogenization problems is ...
An adaptive reduced basis finite element heterogeneous multiscale method (RB-FE-HMM) is proposed for...
The reduced basis finite element heterogeneous multiscale method (RB-FE-HMM) for a class of nonlinea...
A reduced basis Darcy-Stokes finite element heterogeneous multiscale method (RB-DS-FE-HMM) is propos...
13 pagesInternational audienceInspired by recent analyses of the finite element heterogeneous multis...
A broad range of scientific and engineering problems involve multiple scales. For example, composite...
Abstract. Multiscale partial differential equations (PDEs) are difficult to solve by traditional num...
In this paper we provide a general framework for model reduction methods applied to fluid flow in po...
International audienceMultiscale partial differential equations (PDEs) are difficult to solve by tra...
The multiscale finite element method (MsFEM) is developed in the vein of the Crouzeix--Raviart eleme...
In this work we introduce and analyze a new multiscale method for strongly nonlinear monotone equati...
Computing the macroscopic material response of a continuum body commonly involves the formulation of...
In this thesis, we consider the numerical approximation of solutions of partial differential equatio...