Results 41 to 50 of about 58,777 (284)
Multiscale modeling of magnetic distribution of ribbon magnetic cores
CES Transactions on Electrical Machines and Systems, 2018 The multiscale finite element method (MsFEM) combined with conventional finite element method (CFEM) is proposed to solve static magnetic field in the ribbon magnetic core with non-periodical corners considered.
Hailin Li +3 more
doaj +1 more source
Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost
Mathematics, 2021 In this work, we design a multiscale simulation method based on the Generalized Multiscale Finite Element Method (GMsFEM) for numerical modeling of fluid seepage under permafrost condition in heterogeneous soils.
Sergei Stepanov +2 more
doaj +1 more source
, 2017 We propose a generalized multiscale finite element method (GMsFEM) based on clustering algorithm to study the elliptic PDEs with random coefficients in the multi-query setting. Our method consists of offline and online stages.
Chung, Eric T. +3 more
core +1 more source
Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d [PDF]
, 2016 We formulate a stabilized quasi-optimal Petrov-Galerkin method for singularly perturbed convection-diffusion problems based on the variational multiscale method.
Li, Guanglian +2 more
core +3 more sources
Reduced Basis Multiscale Finite Element Methods for Elliptic Problems [PDF]
Multiscale Modeling & Simulation, 2015 Summary: In this paper, we propose reduced basis multiscale finite element methods (RB-MsFEMs) for elliptic problems with highly oscillating coefficients. The method is based on MsFEMs with local test functions that encode the oscillatory behavior (see [\textit{G. Allaire} and \textit{R. Brizzi}, Multiscale Model. Simul. 4, No.
Hesthaven, Jan S. +2 more
openaire +2 more sources
MathematicsIn this study, the extended finite element method (XFEM) was integrated into the generalized multiscale finite element method with global–local enrichment (GFEMgl) to simulate 2D heat conduction in highly heterogeneous materials (i.e., matrixes with ...
Guangzhong Liu +3 more
doaj +1 more source
Abstract and Applied Analysis, 2014 A new finite difference scheme, the development of the finite difference heterogeneous multiscale method (FDHMM), is constructed for simulating saturated water flow in random porous media.
Fulai Chen, Li Ren
doaj +1 more source
Waveform Relaxation for the Computational Homogenization of Multiscale Magnetoquasistatic Problems
, 2016 This paper proposes the application of the waveform relaxation method to the homogenization of multiscale magnetoquasistatic problems. In the monolithic heterogeneous multiscale method, the nonlinear macroscale problem is solved using the Newton--Raphson
Geuzaine, Christophe +2 more
core +1 more source
Convergence to suitable weak solutions for a finite element approximation of the Navier-Stokes equations with numerical subgrid scale modeling [PDF]
, 2016 In this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of Scheffer. In order to prove this result, we consider a subgrid model that enforces orthogonality between subgrid and finite element ...
Badia, Santiago +1 more
core +2 more sources
Advanced Engineering Materials, EarlyView.Geometry‐driven thermal behavior in wire‐arc additive manufacturing (WAAM) influences microstructural evolution during nonequilibrium solidification of a chemically complex Fe–Cr–Nb–W–Mo–C nanocomposite system. By comparing different deposits configurations, distinct entropy–cooling rate correlations, segregation, and carbide evolution are revealed ...
Blanca Palacios +5 more
wiley +1 more source