[HTML][HTML] New innovations in pavement materials and engineering: A review on pavement engineering research 2021
Sustainable and resilient pavement infrastructure is critical for current economic and
environmental challenges. In the past 10 years, the pavement infrastructure strongly …
environmental challenges. In the past 10 years, the pavement infrastructure strongly …
Numerical homogenization beyond scale separation
Numerical homogenization is a methodology for the computational solution of multiscale
partial differential equations. It aims at reducing complex large-scale problems to simplified …
partial differential equations. It aims at reducing complex large-scale problems to simplified …
[图书][B] Hierarchical matrices: algorithms and analysis
W Hackbusch - 2015 - Springer
Usually one avoids numerical algorithms involving operations with large, fully populated
matrices. Instead one tries to reduce all algorithms to matrix-vector multiplications involving …
matrices. Instead one tries to reduce all algorithms to matrix-vector multiplications involving …
[图书][B] Mixed finite element methods and applications
D Boffi, F Brezzi, M Fortin - 2013 - Springer
About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …
went out of print and we were asked to allow a second printing. The world had evolved and …
Algebraic multigrid methods
J Xu, L Zikatanov - Acta Numerica, 2017 - cambridge.org
This paper provides an overview of AMG methods for solving large-scale systems of
equations, such as those from discretizations of partial differential equations. AMG is often …
equations, such as those from discretizations of partial differential equations. AMG is often …
A multiscale finite element method for elliptic problems in composite materials and porous media
In this paper, we study a multiscale finite element method for solving a class of elliptic
problems arising from composite materials and flows in porous media, which contain many …
problems arising from composite materials and flows in porous media, which contain many …
[图书][B] Multiscale finite element methods: theory and applications
Y Efendiev, TY Hou - 2009 - books.google.com
The aim of this monograph is to describe the main concepts and recent-vances in
multiscale? nite element methods. This monograph is intended for …
multiscale? nite element methods. This monograph is intended for …
[图书][B] Multiscale methods: averaging and homogenization
GA Pavliotis, A Stuart - 2008 - books.google.com
Mathematics is playing an ever more important role in the physical and biological sciences,
provoking a blurring of boundaries between scienti? c disciplines and a resurgence of …
provoking a blurring of boundaries between scienti? c disciplines and a resurgence of …
A hierarchical fracture model for the iterative multiscale finite volume method
H Hajibeygi, D Karvounis, P Jenny - Journal of Computational Physics, 2011 - Elsevier
An iterative multiscale finite volume (i-MSFV) method is devised for the simulation of
multiphase flow in fractured porous media in the context of a hierarchical fracture modeling …
multiphase flow in fractured porous media in the context of a hierarchical fracture modeling …
A mixed multiscale finite element method for elliptic problems with oscillating coefficients
The recently introduced multiscale finite element method for solving elliptic equations with
oscillating coefficients is designed to capture the large-scale structure of the solutions …
oscillating coefficients is designed to capture the large-scale structure of the solutions …