Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients
DOI10.1137/21m1459113zbMath1514.65181arXiv2201.04834OpenAlexW4321604537MaRDI QIDQ6109124
Publication date: 30 June 2023
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.04834
multiscale finite element methodsconstraint energy minimizationinhomogeneous boundary value problemshigh contrast problems
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized multiscale finite element methods (GMsFEM)
- 100 years of Weyl's law
- Periodic homogenization of elliptic systems
- Adaptive multiscale model reduction with generalized multiscale finite element methods
- Computational multiscale methods for first-order wave equation using mixed CEM-GMsFEM
- The heterogeneous multiscale methods
- The general theory of homogenization. A personalized introduction
- An introduction to \(\Gamma\)-convergence
- A multiscale finite element method for elliptic problems in composite materials and porous media
- \(b=\int g\)
- Homogenization of non-uniformly bounded operators: critical barrier for nonlocal effects
- Constraint energy minimizing generalized multiscale finite element method
- Non-local multi-continua upscaling for flows in heterogeneous fractured media
- Multiscale-spectral GFEM and optimal oversampling
- Constrained energy minimization based upscaling for coupled flow and mechanics
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Constraint energy minimization generalized multiscale finite element method in mixed formulation for parabolic equations
- Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
- Analysis of the heterogeneous multiscale method for elliptic homogenization problems
- The heterogeneous multiscale method
- Localization of elliptic multiscale problems
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Multiscale Finite Element Methods
- Mixed and Hybrid Finite Element Methods
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- Homogenization of Periodic Structures via Bloch Decomposition
- Contrast Independent Localization of Multiscale Problems
- A mixed multiscale finite element method for elliptic problems with oscillating coefficients
- Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues
- Numerical Homogenization by Localized Orthogonal Decomposition
- Generalized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous Media
- The Periodic Unfolding Method in Homogenization
- Quantitative Stochastic Homogenization and Large-Scale Regularity
- Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods
- The Mathematical Theory of Finite Element Methods
- Numerical homogenization beyond scale separation
This page was built for publication: Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients
