Well‐conditioned boundary integral formulations for high‐frequency elastic scattering problems in three dimensions
DOI10.1002/mma.3179zbMath1319.35139OpenAlexW2017121113MaRDI QIDQ5259868
Frédérique Le Louër, Marion Darbas
Publication date: 29 June 2015
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3179
boundary integral equationselastic scatteringDirichlet conditionNavier equationanalytic preconditioning
Classical linear elasticity (74B05) Scattering theory for PDEs (35P25) Iterative numerical methods for linear systems (65F10) Linear integral equations (45A05) Pseudodifferential operators (47G30)
Related Items (19)
Cites Work
- Unnamed Item
- A stable well-conditioned integral equation for electromagnetism scattering
- Integral equations for transmission problems in linear elasticity
- Boundary integral equations
- Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape
- A complex coefficient rational approximation of \(\sqrt{1+x}\)
- The fast multipole method: Numerical implementation
- Generalized combined field integral equations for the iterative solution of the three-dimensional Maxwell equations
- An improved surface radiation condition for high-frequency acoustic scattering problems
- Dirichlet-to-Neumann map for three-dimensional elastic waves
- Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
- Combining analytic preconditioner and fast multipole method for the 3-D Helmholtz equation
- A fast multipole method formulation for 3D elastodynamics in the frequency domain
- A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain
- An approximate boundary condition in acoustics
- A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition
- Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation
- Uniqueness theorems in inverse obstacle scattering of elastic waves
- A new formulation of electromagnetic wave scattering using an on-surface radiation boundary condition approach
- The Fast Multipole Method I: Error Analysis and Asymptotic Complexity
- Alternative integral equations for the iterative solution of acoustic scattering problems
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