A high-order absorbing boundary condition for 2D time-harmonic elastodynamic scattering problems
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Publication:2203880
DOI10.1016/j.camwa.2018.05.014zbMath1442.74090OpenAlexW2806133171WikidataQ129718896 ScholiaQ129718896MaRDI QIDQ2203880
Vanessa Mattesi, Marion Darbas, Christophe A. Geuzaine
Publication date: 2 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.05.014
Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Inverse problems for waves in solid mechanics (74J25) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
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- Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations
- Non-reflecting boundary conditions for elastic waves
- Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape
- A perfectly matched layer for the absorption of electromagnetic waves
- GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems
- Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics
- A symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation
- Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
- An improved surface radiation condition for high-frequency acoustic scattering problems
- Dirichlet-to-Neumann map for three-dimensional elastic waves
- Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Radiation boundary conditions for wave-like equations
- Finite Element Approximation of Electromagnetic Fields Using Nonfitting Meshes for Geophysics
- Exact Nonreflecting Boundary Condition For Elastic Waves
- Well‐conditioned boundary integral formulations for high‐frequency elastic scattering problems in three dimensions
- Acoustic and electromagnetic equations. Integral representations for harmonic problems