A generalized finite element method for problems with sign-changing coefficients
DOI10.1051/m2an/2021007zbMath1477.65201arXiv2002.10818OpenAlexW3133818109MaRDI QIDQ5154007
T. Chaumont-Frelet, Barbara Verfürth
Publication date: 1 October 2021
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.10818
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) Composite media; random media in optics and electromagnetic theory (78A48) Variational methods for second-order elliptic equations (35J20)
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Cites Work
- Unnamed Item
- Homogenization of materials with sign changing coefficients
- Robust numerical upscaling of elliptic multiscale problems at high contrast
- An optimization-based numerical method for diffusion problems with sign-changing coefficients
- A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
- Time harmonic wave diffraction problems in materials with sign-shifting coefficients
- Mesh requirements for the finite element approximation of problems with sign-changing coefficients
- A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials
- \(T\)-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients
- Efficient implementation of the localized orthogonal decomposition method
- From domain decomposition to homogenization theory
- Homogenization of the eigenvalues of the Neumann-Poincaré operator
- Eigenvalue problems with sign-changing coefficients
- Two-dimensional Maxwell's equations with sign-changing coefficients
- Stable multiscale Petrov-Galerkin finite element method for high frequency acoustic scattering
- T-coercivity for scalar interface problems between dielectrics and metamaterials
- T-Coercivity for the Maxwell Problem with Sign-Changing Coefficients
- Variational Multiscale Stabilization and the Exponential Decay of Fine-Scale Correctors
- Eliminating the pollution effect in Helmholtz problems by local subscale correction
- An analysis of a class of variational multiscale methods based on subspace decomposition
- Localization of elliptic multiscale problems
- Analyse spectrale et singularités d'un problème de transmission non coercif
- Contrast Independent Localization of Multiscale Problems
- Computation of Quasi-Local Effective Diffusion Tensors and Connections to the Mathematical Theory of Homogenization
- Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients
- Numerical upscaling for heterogeneous materials in fractured domains
- Computational high frequency scattering from high-contrast heterogeneous media
- Numerical Homogenization of Elliptic Multiscale Problems by Subspace Decomposition
- Oversampling for the Multiscale Finite Element Method
