A Petrov-Galerkin finite element interface method for interface problems with Bloch-periodic boundary conditions and its application in phononic crystals
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Publication:2222250
DOI10.1016/j.jcp.2019.04.051zbMath1452.82037OpenAlexW2943058905MaRDI QIDQ2222250
Publication date: 26 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2019.04.051
interface problemband structurephononic crystalBloch-periodic boundary conditionPetrov-Galerkin finite element interface method
Statistical mechanics of crystals (82D25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications to the sciences (65Z05) Finite element, Galerkin and related methods applied to problems in statistical mechanics (82M10)
Related Items (13)
New immersed finite volume element method for elliptic interface problems with non-homogeneous jump conditions ⋮ Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems ⋮ Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions ⋮ Error analysis of Petrov-Galerkin immersed finite element methods ⋮ A finite element method for the band structure computation of photonic crystals with complex scatterer geometry ⋮ Asymptotics of the eigenvalues of a fourth order differential operator with eigenvalue dependent and periodic boundary conditions ⋮ A discrete fracture-matrix approach based on Petrov-Galerkin immersed finite element for fractured porous media flow on nonconforming mesh ⋮ Unfitted Nitsche's method for computing band structures of phononic crystals with periodic inclusions ⋮ Fully decoupling geometry from discretization in the Bloch-Floquet finite element analysis of phononic crystals ⋮ Petrov-Galerkin method for the band structure computation of anisotropic and piezoelectric phononic crystals ⋮ Unfitted Nitsche's method for computing wave modes in topological materials ⋮ INN: interfaced neural networks as an accessible meshless approach for solving interface PDE problems ⋮ Simulation of electromagnetic wave propagations in negative index materials by the localized RBF-collocation method
Uses Software
Cites Work
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