The mathematical study of “multiscale problems” has grown remarkably since the seventies beyond the asymptotic analysis of PDE’s governing the behavior of heterogeneous media. The search for sharp bounds on the effective moduli of composites and homogenization approximation errors has led investigators to derive as much information as possible about fields in composites, and the behavior of correctors in periodic and stochastic environments
In this lecture, we will discuss asymptotically consistent discretizations of the Lippmann–Schwinger...
This lecture provides an introduction to all the basic tools that are required by “FFT-based homogen...
This paper is a set of lecture notes for a short introductory course on homogenization. It...
The mathematical study of “multiscale problems” has grown remarkably since the seventies beyond the ...
Homogenization of partial differential equations is relatively a new area and has tremendous applica...
This mini-course addresses graduate students and young researchers in mathematics and engineering sc...
Multiscale Modeling Approaches for Composites outlines the fundamentals of common multiscale modelin...
Porous materials are present in many natural as well as engineered structures. Engineering examples ...
Homogenization is a branch of the theory of partial differential equations which was established app...
Partial differential equations with highly oscillatory, random coefficients describe many applicatio...
This dissertation is concerned with properties of local fields inside composites made from two mater...
Current technological challenges in materials science and high-tech device industry require the solu...
Over the past several decades, we have witnessed a renaissance of theoretical work on the macroscopi...
Cette thèse est consacrée à l'analyse asymptotique de quelques équations aux dérivées partielles, is...
This lecture provides an introduction to all the basic tools that are required by “FFT-based homogen...
In this lecture, we will discuss asymptotically consistent discretizations of the Lippmann–Schwinger...
This lecture provides an introduction to all the basic tools that are required by “FFT-based homogen...
This paper is a set of lecture notes for a short introductory course on homogenization. It...
The mathematical study of “multiscale problems” has grown remarkably since the seventies beyond the ...
Homogenization of partial differential equations is relatively a new area and has tremendous applica...
This mini-course addresses graduate students and young researchers in mathematics and engineering sc...
Multiscale Modeling Approaches for Composites outlines the fundamentals of common multiscale modelin...
Porous materials are present in many natural as well as engineered structures. Engineering examples ...
Homogenization is a branch of the theory of partial differential equations which was established app...
Partial differential equations with highly oscillatory, random coefficients describe many applicatio...
This dissertation is concerned with properties of local fields inside composites made from two mater...
Current technological challenges in materials science and high-tech device industry require the solu...
Over the past several decades, we have witnessed a renaissance of theoretical work on the macroscopi...
Cette thèse est consacrée à l'analyse asymptotique de quelques équations aux dérivées partielles, is...
This lecture provides an introduction to all the basic tools that are required by “FFT-based homogen...
In this lecture, we will discuss asymptotically consistent discretizations of the Lippmann–Schwinger...
This lecture provides an introduction to all the basic tools that are required by “FFT-based homogen...
This paper is a set of lecture notes for a short introductory course on homogenization. It...