Results 211 to 220 of about 1,498,610 (256)

A generalized phase field multiscale finite element method for brittle fracture

International Journal for Numerical Methods in Engineering, 2020
SUMMARYA generalized multiscale finite element method is introduced to address the computationally taxing problem of elastic fracture across scales. Crack propagation is accounted for at the microscale utilizing phase field theory. Both the displacement‐based equilibrium equations and phase field state equations at the microscale are mapped on a ...
Savvas P. Triantafyllou, Emmanouil G. Kakouris   +1 more
openaire   +2 more sources

A mixed generalized multiscale finite element method for planar linear elasticity

Journal of Computational and Applied Mathematics, 2019
Abstract A mixed generalized multiscale finite element method for linear elasticity based on Hellinger Reissner principle with a strong symmetry enforcement for the stress tensor is introduced. The multiscale approximation space for the stress tensor is built on a coarse grid with carefully designed local problems so that the basis functions are also
Chak Shing Lee, Eric T. Chung
openaire   +2 more sources

Adaptive Least-Squares Mixed Generalized Multiscale Finite Element Methods

Multiscale Modeling & Simulation, 2018
In this paper, we present two kinds of adaptive least-squares mixed generalized multiscale finite element methods (GMsFEMs) for solving an elliptic problem in highly heterogeneous porous media.
Lijian Jiang, Fuchen Chen, Eric T. Chung
openaire   +2 more sources

Meshfree Generalized Multiscale Finite Element Method

Journal of Computational Physics, 2023
Djulustan Nikiforov
semanticscholar   +1 more source

A computational macroscopic model of piezomagnetoelectric materials using Generalized Multiscale Finite Element Method

Journal of Computational and Applied Mathematics, 2023
D. Ammosov, A. Nasedkin, G. Muratova
semanticscholar   +1 more source

Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method

Theoretical and mathematical physics, 2022
D. Ammosov, V. Vasil'ev, M. V. Vasil'eva, S. Stepanov   +3 more
semanticscholar   +1 more source

Online conservative generalized multiscale finite element method for highly heterogeneous flow models

Computational Geosciences, 2021
Yiran Wang, Eric T. Chung, Shubin Fu, M. Presho   +3 more
semanticscholar   +1 more source

Generalized multiscale finite element method for language competition modeling II: Online approach

Journal of Computational and Applied Mathematics, 2023
D. Ammosov, N. V. Malysheva, L. S. Zamorshchikova   +2 more
semanticscholar   +1 more source

Online Coupled Generalized Multiscale Finite Element Method for the Poroelasticity Problem in Three-Dimensional Media

Lobachevskii Journal of Mathematics, 2023
A. Tyrylgin, J. Huang
semanticscholar   +1 more source

Generalized multiscale finite element method for language competition modeling I: Offline approach

Journal of Computational and Applied Mathematics, 2023
D. Ammosov, N. V. Malysheva, L. S. Zamorshchikova   +2 more
semanticscholar   +1 more source