Frequency-robust preconditioning of boundary integral equations for acoustic transmission
From MaRDI portal
Publication:2671322
DOI10.1016/j.jcp.2022.111229OpenAlexW3154805443WikidataQ114163307 ScholiaQ114163307MaRDI QIDQ2671322
Nader Saffari, Elwin van 't Wout, Pierre Gélat, Timo Betcke, Seyyed R. Haqshenas
Publication date: 3 June 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.04609
boundary element methodpreconditioningcomputational acousticson-surface radiation conditionsfocused ultrasound
Numerical methods for partial differential equations, boundary value problems (65Nxx) General topics in optics and electromagnetic theory (78Axx) Elliptic equations and elliptic systems (35Jxx)
Related Items
Uses Software
Cites Work
- Unnamed Item
- An improved on-surface radiation condition for acoustic scattering problems in the high-frequency spectrum
- Efficient numerical methods for non-local operators. \(\mathcal H^2\)-matrix compression, algorithms and analysis.
- Formulation and accuracy of on-surface radiation conditions for acoustic multiple scattering problems
- Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations
- Modern solvers for Helmholtz problems
- Boundary integral formulations for acoustic modelling of high-contrast media
- Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape
- The construction of some efficient preconditioners in the boundary element method
- Numerical solution of problems on unbounded domains. A review
- A perfectly matched layer for the absorption of electromagnetic waves
- Performance of iterative solvers for acoustic problems. I: Solvers and effect of diagonal preconditioning.
- On-surface radiation condition for multiple scattering of waves
- Software frameworks for integral equations in electromagnetic scattering based on Calderón identities
- Wavenumber-explicit analysis for the Helmholtz \(h\)-BEM: error estimates and iteration counts for the Dirichlet problem
- A summary of infinite element formulations for exterior Helmholtz problems
- Optimized weak coupling of boundary element and finite element methods for acoustic scattering
- When is the error in the \(h\)-BEM for solving the Helmholtz equation bounded independently of \(k\)?
- Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional smooth penetrable scattering problems
- 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
- Combining analytic preconditioner and fast multipole method for the 3-D Helmholtz equation
- Operator preconditioning
- Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves
- Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method
- On the Spectrum of Volume Integral Operators in Acoustic Scattering
- Multi-Trace Boundary Integral Formulation for Acoustic Scattering by Composite Structures
- SIX BOUNDARY ELEMENTS PER WAVELENGTH: IS THAT ENOUGH?
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations
- From Functional Analysis to Iterative Methods
- Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Radiation boundary conditions for wave-like equations
- On the Coupling of Boundary Integral and Finite Element Methods
- Absorbing boundary conditions for numerical simulation of waves
- A new formulation of electromagnetic wave scattering using an on-surface radiation boundary condition approach
- Alternative integral equations for the iterative solution of acoustic scattering problems
- Approximate Separability of the Green's Function of the Helmholtz Equation in the High Frequency Limit
- Product Algebras for Galerkin Discretisations of Boundary Integral Operators and their Applications
- Well‐conditioned boundary integral formulations for high‐frequency elastic scattering problems in three dimensions
- Solving Boundary Integral Problems with BEM++
- A Comparative Study of Calderón Preconditioners for PMCHWT Equations
- A Calderón Multiplicative Preconditioner for the PMCHWT Integral Equation
- Combining Fast Multipole Techniques and an Approximate Inverse Preconditioner for Large Electromagnetism Calculations
- Analytic preconditioners for the electric field integral equation
- A dual finite element complex on the barycentric refinement
- A fast algorithm for particle simulations
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
