International audienceThis paper deals with a computational strategy suitable for the simulation of coupled problems, in presence of heterogeneities and when different precision levels are required for the different physics. To deal with micro heterogeneities, an adaptation of the classical periodic homogenization procedure is used, with the asymptotic development approach, but only one direction of periodicity can be taken into account. The application concerns an axisymmetric reinforced filtration device, modelled as a steady state thermo-poroelastic structure, for which thermal and fluid problems are described only at the (homogenized) macroscopic level, while the structure is described up to the micro scale. The relocalization has to ta...
Many problems of fundamental and practical importance have multiple scale solutions. The direct nume...
International audienceThe mathematical tools for the up-scaling from micro to macro in periodic medi...
This chapter presents a computational homogenization strategy, whichprovides a rigorous approach to ...
International audienceThis paper deals with a computational strategy suitable for the simulation of ...
This part of the CISM course addresses basics and advanced topics onthe computational homogenization...
Computational homogenization is exploited for the analysis of transient hydro-mechanically coupled p...
Abstract. Multiscale partial differential equations (PDEs) are difficult to solve by traditional num...
International audienceMultiscale partial differential equations (PDEs) are difficult to solve by tra...
This article focuses on computational multiscale methods for the mechanical response of nonlinear he...
The heterogeneous multi-scale method, a general framework for efficient numerical modeling of proble...
This mini-course addresses graduate students and young researchers in mathematics and engineering sc...
The two-scale computational homogenization method is proposed for modeling of locally periodic fluid...
This article focuses on computational multiscale methods for the mechanical response of nonlinear he...
On micro scale the constitutions of porous media are effected by other constitutions, so their behav...
In this thesis, we consider the numerical approximation of solutions of partial differential equatio...
Many problems of fundamental and practical importance have multiple scale solutions. The direct nume...
International audienceThe mathematical tools for the up-scaling from micro to macro in periodic medi...
This chapter presents a computational homogenization strategy, whichprovides a rigorous approach to ...
International audienceThis paper deals with a computational strategy suitable for the simulation of ...
This part of the CISM course addresses basics and advanced topics onthe computational homogenization...
Computational homogenization is exploited for the analysis of transient hydro-mechanically coupled p...
Abstract. Multiscale partial differential equations (PDEs) are difficult to solve by traditional num...
International audienceMultiscale partial differential equations (PDEs) are difficult to solve by tra...
This article focuses on computational multiscale methods for the mechanical response of nonlinear he...
The heterogeneous multi-scale method, a general framework for efficient numerical modeling of proble...
This mini-course addresses graduate students and young researchers in mathematics and engineering sc...
The two-scale computational homogenization method is proposed for modeling of locally periodic fluid...
This article focuses on computational multiscale methods for the mechanical response of nonlinear he...
On micro scale the constitutions of porous media are effected by other constitutions, so their behav...
In this thesis, we consider the numerical approximation of solutions of partial differential equatio...
Many problems of fundamental and practical importance have multiple scale solutions. The direct nume...
International audienceThe mathematical tools for the up-scaling from micro to macro in periodic medi...
This chapter presents a computational homogenization strategy, whichprovides a rigorous approach to ...