Results 51 to 60 of about 5,178 (170)
A molecular dynamics/extended finite element method for dynamic crack propagation
Vietnam Journal of Mechanics, 2008 A multiscale method is presented which couples a molecular dynamics approach for describing fracture at the crack tip with an extended finite element method for discretizing the remainder of the domain.
Pascal Aubertin +2 more
doaj +1 more source
Journal of Applied Mathematics, 2014 We propose a fully discrete method for the multiscale Richards’ equation of van Genuchten-Mualem model which describes the flow transport in unsaturated heterogenous porous media.
Haitao Cao, Tao Yu, Xingye Yue
doaj +1 more source
Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations [PDF]
Communications in Computational Physics, 2014 AbstractIn this paper we use the Generalized Multiscale Finite Element Method (GMsFEM) framework, introduced in [26], in order to solve nonlinear elliptic equations with high-contrast coefficients. The proposed solution method involves linearizing the equation so that coarse-grid quantities of previous solution iterates can be regarded as auxiliary ...
Efendiev, Yalchin R. +3 more
openaire +3 more sources
Development of an optimal adaptive finite element stabiliser for the simulation of complex flows
Scientific AfricanAn optimal adaptive multiscale finite element method(AMsFEM) for numerical solutions of flow problems modelled by the Oldroyd B model is developed. Complex flows experience instabilities due to a phenomena known as the high Weissenberg number problem ...
Jack Urombo +2 more
doaj +1 more source
Application of M3GM in a Petroleum Reservoir Simulation [PDF]
Journal of Petroleum Science and Technology, 2017 Reservoir formations exhibit a wide range of heterogeneity from micro to macro scales. A simulation that involves all of these data is highly time consuming or almost impossible; hence, a new method is needed to meet the computational cost. Moreover, the
ehsan taheri +2 more
doaj +1 more source
A multi-scale coupling finite element method based on the microscopic of soil particle motions
Rock and Soil Mechanics, 2021 Soil is a multi-phase and multi-scale geomaterial that exhibits dramatically inhomogeneous and discontinuous physical nature. Conventional finite element method, which is conceptualized at a single macroscale and ignores the control mechanism of soil at ...
LIU Jia, FENG De-luan
doaj +1 more source
Adaptive reduced basis finite element heterogeneous multiscale method [PDF]
Computer Methods in Applied Mechanics and Engineering, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdulle Assyr, Bai Yun
openaire +1 more source
MATEC Web of Conferences, 2018 The aim of the present study is to propose a multiscale computational technique for the prediction of the elastic mechanical properties of nanoreinforced composites. The proposed method utilizes a molecular dynamics (MD) based numerical scheme to capture
Giannopoulos Georgios I. +3 more
doaj +1 more source
Lubricants, 2018 This paper presents a multiscale finite element method applied to the simulation of a lubricating film flowing between rough surfaces. The objective of this approach is to study flows between large rough surfaces needing very fine meshes while ...
Noël Brunetière, Arthur Francisco
doaj +1 more source
Numerical homogenization of multi-scale heterogeneous media
Геофизический журнал, 2012 A problem of electrical potential distribution in media, containing micro-inclusions with highly contrasting physical properties and different geometric shapes, was considered. Multiscale finite element method has been chosen as a solver.
M. I. Epov +2 more
doaj +1 more source