An Online Generalized Multiscale Discontinuous Galerkin Method (GMsDGM) for Flows in Heterogeneous Media
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Publication:5158732
DOI10.4208/cicp.230815.090516azbMath1488.65609arXiv1504.04417OpenAlexW2962883966MaRDI QIDQ5158732
Eric T. Chung, Wing Tat Leung, Yalchin R. Efendiev
Publication date: 26 October 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.04417
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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
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Uses Software
Cites Work
- Generalized multiscale finite element methods (GMsFEM)
- Mode decomposition methods for flows in high-contrast porous media. Global-local approach
- Generalized multiscale finite element method. Symmetric interior penalty coupling
- Multiscale finite element methods for high-contrast problems using local spectral basis functions
- An adaptive GMsFEM for high-contrast flow problems
- The heterogeneous multiscale methods
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Analysis of upscaling absolute permeability
- Residual-driven online generalized multiscale finite element methods
- Adaptive reduced basis finite element heterogeneous multiscale method
- Multiscale finite element methods for nonlinear problems and their applications
- A Static condensation Reduced Basis Element method : approximation anda posteriorierror estimation
- Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms
- An Adaptive Discontinuous Galerkin Multiscale Method for Elliptic Problems
- Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation
- A Domain Decomposition Preconditioner for Multiscale High-Contrast Problems
- Reduced-Contrast Approximations for High-Contrast Multiscale Flow Problems
- Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces
- AN ENERGY-CONSERVING DISCONTINUOUS MULTISCALE FINITE ELEMENT METHOD FOR THE WAVE EQUATION IN HETEROGENEOUS MEDIA
- A new multiscale finite element method for high-contrast elliptic interface problems
- Localization of elliptic multiscale problems
- Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Multiscale Finite Element Methods
- Atomic Decomposition by Basis Pursuit
- Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems
- A Convergent Adaptive Algorithm for Poisson’s Equation
- An Adaptive Multiscale Finite Element Method
- Generalized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous Media
- A Sub-Grid Structure Enhanced Discontinuous Galerkin Method for Multiscale Diffusion and Convection-Diffusion Problems
- Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations
- Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales
- Convergence of a Discontinuous Galerkin Multiscale Method
- Comparison of the reduced-basis and PODa posteriorierror estimators for an elliptic linear-quadratic optimal control problem
- Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs