Abstract. The heterogeneous multiscale method (HMM) is applied to various parabolic prob-lems with multiscale coefficients. These problems can be either linear or nonlinear. Optimal estimates are proved for the error between the HMM solution and the homogenized solution
AbstractIn this article, we develop and analyze a priori estimates for optimal control problems with...
A novel and efficient approach which is based on the framework of isogeometric analysis for elliptic...
In this paper, we consider the homogenization problem for a steady-state heat conduction problem in ...
Abstract. The heterogeneous multiscale method (HMM) is applied to var-ious parabolic problems with m...
The heterogeneous multiscale method (HMM) is applied to various parabolic problems with multiscale c...
1.1. General methodology 2 1.2. Heterogeneous multiscale method 2 1.3. Main results
International audienceMultiscale partial differential equations (PDEs) are difficult to solve by tra...
Abstract. Multiscale partial differential equations (PDEs) are difficult to solve by traditional num...
element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problem
We propose a multiscale method based on a finite element heterogeneous multiscale method (...
The reduced basis finite element heterogeneous multiscale method (RB-FE-HMM) for a class of nonlinea...
Numerical methods for parabolic homogenization problems combining finite element methods (FEMs) in s...
Abstract. An analysis of the finite element heterogeneous multiscale method for a class of quasiline...
The heterogeneous multiscale method gives a general framework for the analysis of multiscale methods...
In this paper, we consider the homogenization problem for a steady-state heat conduction problem in ...
AbstractIn this article, we develop and analyze a priori estimates for optimal control problems with...
A novel and efficient approach which is based on the framework of isogeometric analysis for elliptic...
In this paper, we consider the homogenization problem for a steady-state heat conduction problem in ...
Abstract. The heterogeneous multiscale method (HMM) is applied to var-ious parabolic problems with m...
The heterogeneous multiscale method (HMM) is applied to various parabolic problems with multiscale c...
1.1. General methodology 2 1.2. Heterogeneous multiscale method 2 1.3. Main results
International audienceMultiscale partial differential equations (PDEs) are difficult to solve by tra...
Abstract. Multiscale partial differential equations (PDEs) are difficult to solve by traditional num...
element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problem
We propose a multiscale method based on a finite element heterogeneous multiscale method (...
The reduced basis finite element heterogeneous multiscale method (RB-FE-HMM) for a class of nonlinea...
Numerical methods for parabolic homogenization problems combining finite element methods (FEMs) in s...
Abstract. An analysis of the finite element heterogeneous multiscale method for a class of quasiline...
The heterogeneous multiscale method gives a general framework for the analysis of multiscale methods...
In this paper, we consider the homogenization problem for a steady-state heat conduction problem in ...
AbstractIn this article, we develop and analyze a priori estimates for optimal control problems with...
A novel and efficient approach which is based on the framework of isogeometric analysis for elliptic...
In this paper, we consider the homogenization problem for a steady-state heat conduction problem in ...