The halfspace matching method: a new method to solve scattering problems in infinite media
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Publication:1743945
DOI10.1016/j.cam.2018.01.021zbMath1462.74094OpenAlexW2737367458MaRDI QIDQ1743945
Antoine Tonnoir, Sonia Fliss, Anne-Sophie Bonnet-Ben Dhia
Publication date: 16 April 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.01.021
Fourier transformfinite element methodintegral operatordomain decomposition methodplane-wave representationanisotropic Helmholtz equation
Anisotropy in solid mechanics (74E10) Finite element methods applied to problems in solid mechanics (74S05) Wave scattering in solid mechanics (74J20)
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Cites Work
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- Hardy space infinite elements for time harmonic wave equations with phase and group velocities of different signs
- A Rellich type theorem for the Helmholtz equation in a conical domain
- Guided elastic waves and perfectly matched layers
- Cross-points in domain decomposition methods with a finite element discretization
- Non-reflecting boundary conditions for elastic waves
- Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media
- Stability of perfectly matched layers, group velocities and anisotropic waves.
- On the use of perfectly matched layers in the presence of long or backward propagating guided elastic waves
- A modified volume integral equation for anisotropic elastic or conducting inhomogeneities: unconditional solvability by Neumann series
- Hardy space infinite elements for time-harmonic two-dimensional elastic waveguide problems
- A limiting absorption principle for scattering problems with unbounded obstacles
- Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains
- A GENERALIZED MODE MATCHING METHOD FOR SCATTERING PROBLEMS WITH UNBOUNDED OBSTACLES
- Mathematical Analysis of the Junction of Two Acoustic Open Waveguides
- Domain Decomposition Algorithms with Small Overlap
- Three-dimensional time-harmonic elastodynamic Green ’ s functions for anisotropic solids
- Adapted Numerical Methods for the Poisson Equation with $L^2$ Boundary Data in NonConvex Domains
