Wavelet-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains

DOI10.1137/19M1267180zbMath1478.65124arXiv1906.08453OpenAlexW2951927487MaRDI QIDQ5022757

Richard V. Craster, Guanglian Li, Shubin Fu, S. Guenneau

Publication date: 19 January 2022

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.08453

zbMATH Keywords

Helmholtz equationmultiscale methodperforated domainhigh frequencyrandom perforationwavelet-based edge multiscale finite element method

Mathematics Subject Classification ID

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)

Related Items (8)

Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries ⋮ An edge multiscale interior penalty discontinuous Galerkin method for heterogeneous Helmholtz problems with large varying wavenumber ⋮ Wavelet-based edge multiscale parareal algorithm for parabolic equations with heterogeneous coefficients and rough initial data ⋮ Generalized multiscale finite element method for scattering problem in heterogeneous media ⋮ Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems ⋮ Wavelet-based edge multiscale parareal algorithm for subdiffusion equations with heterogeneous coefficients in a large time domain ⋮ Sixth-Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect ⋮ Exponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz Equations

Uses Software

• COMSOL

Cites Work

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