Adaptive generalized multiscale finite element methods for \(\mathrm{H(curl)}\)-elliptic problems with heterogeneous coefficients

DOI10.1016/j.cam.2018.06.052zbMath1402.65154arXiv1802.02989OpenAlexW2962874275WikidataQ129546843 ScholiaQ129546843MaRDI QIDQ1789717

Yanbo Li, Eric T. Chung

Publication date: 10 October 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.02989

zbMATH Keywords

adaptivitymultiscale finite element method\(\mathrm{H(curl)}\)-elliptic problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

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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 (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media
• Generalized multiscale finite element method for elasticity equations
• Multiscale finite element methods for high-contrast problems using local spectral basis functions
• Adaptive multiscale model reduction with generalized multiscale finite element methods
• An adaptive GMsFEM for high-contrast flow problems
• Mixed finite elements in \(\mathbb{R}^3\)
• A multiscale finite element method for elliptic problems in composite materials and porous media
• Analysis of upscaling absolute permeability
• Fast online generalized multiscale finite element method using constraint energy minimization
• Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
• Residual-driven online generalized multiscale finite element methods
• Multiscale finite element methods for nonlinear problems and their applications
• A new multiscale finite element method for high-contrast elliptic interface problems
• Multiscale Finite Element Methods
• Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems
• On the Use of a Mixed Multiscale Finite Element Method for GreaterFlexibility and Increased Speed or Improved Accuracy in Reservoir Simulation
• Finite Element Methods for Maxwell's Equations
• An Online Generalized Multiscale Discontinuous Galerkin Method (GMsDGM) for Flows in Heterogeneous Media
• 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
• A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations

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