Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using non-local multi-continuum method (NLMC)
From MaRDI portal
Publication:2424933
DOI10.1016/j.cam.2019.02.030zbMath1469.74130arXiv1805.09420OpenAlexW2963605201WikidataQ128288582 ScholiaQ128288582MaRDI QIDQ2424933
Denis Spiridonov, Wing Tat Leung, Yating Wang, Maria Vasilyeva, Eric T. Chung
Publication date: 25 June 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.09420
elasticityLaplace equationRobin boundary conditionperforated domainconstrained energy minimizationvon Neumann boundary condition
Classical linear elasticity (74B05) Homogenization in equilibrium problems of solid mechanics (74Q05) Numerical and other methods in solid mechanics (74S99)
Related Items
Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries ⋮ Non-local multi-continuum method (NLMC) for Darcy-Forchheimer flow in fractured media ⋮ Multiscale solver for multi-component reaction-diffusion systems in heterogeneous media ⋮ Multiscale model reduction for the Allen-Cahn problem in perforated domains ⋮ Generalized Multiscale Finite Element Treatment of a Heterogeneous Nonlinear Strain-limiting Elastic Model ⋮ Convergence analysis of constraint energy minimizing generalized multiscale finite element method for a linear stochastic parabolic partial differential equation driven by additive noises ⋮ Generalized multiscale discontinuous Galerkin method for convection-diffusion equation in perforated media ⋮ Upscaling of the single-phase flow and heat transport in fractured geothermal reservoirs using nonlocal multicontinuum method ⋮ Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques ⋮ An analysis of the NLMC upscaling method for high contrast problems ⋮ An online generalized multiscale finite element method for heat and mass transfer problem with artificial ground freezing
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Mixed GMsFEM for second order elliptic problem in perforated domains
- Multiscale model reduction for shale gas transport in fractured media
- Generalized multiscale finite element methods (GMsFEM)
- Generalized multiscale finite element method for elasticity equations
- Adaptive multiscale model reduction with generalized multiscale finite element methods
- Diffusion, convection, adsorption, and reaction of chemicals in porous media
- A generalized multiscale finite element method for poroelasticity problems. I: Linear problems.
- The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains
- Non-homogeneous media and vibration theory
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Multiscale model reduction for transport and flow problems in perforated domains
- Multiscale model reduction for shale gas transport in poroelastic fractured media
- Coupling of multiscale and multi-continuum approaches
- Constraint energy minimizing generalized multiscale finite element method in the mixed formulation
- MsFEM à la Crouzeix-Raviart for highly oscillatory elliptic problems
- A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains
- Residual-driven online generalized multiscale finite element methods
- Multiscale finite-volume method for compressible multiphase flow in porous media
- Randomized Oversampling for Generalized Multiscale Finite Element Methods
- Generalized multiscale finite element methods for problems in perforated heterogeneous domains
- Homogenization Approach to the Dispersion Theory for Reactive Transport through Porous Media
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- Multiscale Finite Element Methods
- Homogenization and Two-Scale Convergence
- Adaptive Multiscale Finite-Volume Method for Multiphase Flow and Transport in Porous Media
- An MsFEM Type Approach for Perforated Domains
- Mixed Generalized Multiscale Finite Element Methods and Applications
- A Generalized Multiscale Finite Element Method for Thermoelasticity Problems
- Sequential Homogenization of Reactive Transport in Polydisperse Porous Media
- Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains
- Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations
