A super-localized generalized finite element method
DOI10.1007/s00211-023-01386-4arXiv2211.09461MaRDI QIDQ6191369
Daniel Peterseim, Tim Keil, Philip Freese, Moritz Hauck
Publication date: 9 February 2024
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.09461
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) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Rate of convergence, degree of approximation (41A25)
Cites Work
- Unnamed Item
- Unnamed Item
- Generalized multiscale finite element methods (GMsFEM)
- The partition of unity finite element method: basic theory and applications
- Additive Schwarz preconditioners for a localized orthogonal decomposition method
- Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization
- The AL Basis for the Solution of Elliptic Problems in Heterogeneous Media
- Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games
- Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
- Randomized Local Model Order Reduction
- An analysis of a class of variational multiscale methods based on subspace decomposition
- Localization of elliptic multiscale problems
- THE PARTITION OF UNITY METHOD
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- Can a finite element method perform arbitrarily badly?
- Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
- A High-Order Approach to Elliptic Multiscale Problems with General Unstructured Coefficients
- Numerical Homogenization by Localized Orthogonal Decomposition
- Oversampling for the Multiscale Finite Element Method
- Super-localization of elliptic multiscale problems
- Numerical homogenization beyond scale separation
- An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition
- An Improved High-Order Method for Elliptic Multiscale Problems
- Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations
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