Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited
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Publication:6150465
DOI10.1137/22m1511060arXiv2207.10853MaRDI QIDQ6150465
Publication date: 6 March 2024
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.10853
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)
Cites Work
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- Boundary estimates in elliptic homogenization
- Homogenization of elliptic eigenvalue problems. I
- Periodic homogenization of elliptic systems
- On operator estimates for some problems in homogenization theory
- Homogenization of elliptic eigenvalue problems. II
- Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
- Invariant convex bodies for strongly elliptic systems
- Maximizing the \(L^ \infty{}\) norm of the gradient of solutions to the Poisson equation
- Smoothness of linear laminates
- MsFEM à la Crouzeix-Raviart for highly oscillatory elliptic problems
- Convergence rate of multiscale finite element method for various boundary problems
- Ein Kriterium für die Quasi-Optimalität des Titzschen Verfahrens
- Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games
- Convergence of the Heterogeneous Multiscale Finite Element Method for Elliptic Problems with Nonsmooth Microstructures
- Multiscale Finite Element Methods
- Convergence Analysis for The Numerical Boundary Corrector for Elliptic Equations with Rapidly Oscillating Coefficients
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- Estimates for elliptic systems from composite material
- A mixed multiscale finite element method for elliptic problems with oscillating coefficients
- Convergence of a Nonconforming Multiscale Finite Element Method
- Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
- Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions
- Multiscale Elliptic PDE Upscaling and Function Approximation via Subsampled Data
- Low-Rank Approximation for Multiscale PDEs
- Generalized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous Media
- Oversampling for the Multiscale Finite Element Method
- Numerical homogenization beyond scale separation
- Random heterogeneous materials. Microstructure and macroscopic properties
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