Perfectly matched layers for nonlocal Helmholtz equations. II: Multi-dimensional cases
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Publication:2672744
DOI10.1016/j.jcp.2022.111192OpenAlexW3107810752MaRDI QIDQ2672744
Publication date: 13 June 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.01753
artificial boundary conditionperfectly matched layersnonlocal modelsasymptotic compatibility schemenonlocal Helmholtz equation
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) General topics in optics and electromagnetic theory (78Axx)
Related Items (2)
Dirichlet‐type absorbing boundary conditions for peridynamic scalar waves in two‐dimensional viscous media ⋮ Numerical solutions for nonlocal wave equations by perfectly matched layers. II: The two-dimensional case
Cites Work
- Unnamed Item
- Continuous and discontinuous finite element methods for a peridynamics model of mechanics
- An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
- A perfectly matched layer for the absorption of electromagnetic waves
- On the existence and convergence of the solution of PML equations
- Convergence of the PML solution for elastic wave scattering by biperiodic structures
- Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations
- An adaptive finite element method for the diffraction grating problem with PML and few-mode DtN truncations
- Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
- Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers
- Towards perfectly matched layers for time-dependent space fractional PDEs
- On uniform second order nonlocal approximations to linear two-point boundary value problems
- A conservative nonlocal convection-diffusion model and asymptotically compatible finite difference discretization
- A conforming DG method for linear nonlocal models with integrable kernels
- A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain
- Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models
- Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions
- Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media
- Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions
- Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems
- An Exact Bounded Perfectly Matched Layer for Time-Harmonic Scattering Problems
- Analysis and Numerical Approximation of an Integro-differential Equation Modeling Non-local Effects in Linear Elasticity
- The Perfectly Matched Layer in Curvilinear Coordinates
- An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures
- An adaptive finite element PML method for the elastic wave scattering problem in periodic structures
- FEM and CIP-FEM for Helmholtz Equation with High Wave Number and Perfectly Matched Layer Truncation
- Nonlocal Modeling, Analysis, and Computation
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- Artificial Boundary Method
- Exponential convergence of Cartesian PML method for Maxwell’s equations in a two-layer medium
- Nonlocal Wave Propagation in Unbounded Multi-Scale Media
- Numerical Solution of the Nonlocal Diffusion Equation on the Real Line
- Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain
- Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations
- Convergence Analysis of the Perfectly Matched Layer Problems for Time-Harmonic Maxwell's Equations
- An Adaptive Perfectly Matched Layer Technique for Time-harmonic Scattering Problems
- Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains
- Asymptotically compatible discretization of multidimensional nonlocal diffusion models and approximation of nonlocal Green’s functions
- Numerical Solution of a One-Dimensional Nonlocal Helmholtz Equation by Perfectly Matched Layers
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