The concept of multiscale modelling has emerged over the last few decades to describe
procedures that seek to simulate continuum-scale behaviour using information gleaned from …

Sustainable and resilient pavement infrastructure is critical for current economic and
environmental challenges. In the past 10 years, the pavement infrastructure strongly …

This document presents comprehensive historical accounts on the developments of finite
element methods (FEM) since 1941, with a specific emphasis on developments related to …

Usually one avoids numerical algorithms involving operations with large, fully populated
matrices. Instead one tries to reduce all algorithms to matrix-vector multiplications involving …

The spatially and temporally variable parameters and inputs to complex groundwater
models typically result in long runtimes which hinder comprehensive calibration, sensitivity …

In this paper, we propose a general approach called Generalized Multiscale Finite Element
Method (GMsFEM) for performing multiscale simulations for problems without scale …

We discuss the application of virtual elements to linear elasticity problems, for both the
compressible and the nearly incompressible case. Virtual elements are very close to mimetic …

The most common fallacy in the quest for the optimum stimulation treatment in shale plays
across the country is to treat them all just like the Barnett Shale. There is no doubt that the …

The aim of this monograph is to describe the main concepts and recent-vances in
multiscale? nite element methods. This monograph is intended for …

This paper constructs a local generalized finite element basis for elliptic problems with
heterogeneous and highly varying coefficients. The basis functions are solutions of local …