High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem
From MaRDI portal
Publication:2096978
DOI10.1007/s00020-022-02715-2OpenAlexW3201069451MaRDI QIDQ2096978
Jeffrey Galkowski, P. Marchand, Euan A. Spence
Publication date: 11 November 2022
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.06017
weighted Sobolev spacesboundary integral equationpseudodifferential operatorNeumann problemsemiclassical analysislayer potentialshigh frequencyHelmholtz boundary-integral operators
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications of operator theory to differential and integral equations (47N20) Integral operators (45P05) Pseudodifferential operators (47G30)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary integral equation analysis on the sphere
- Sharp norm estimates of layer potentials and operators at high frequency
- An improved on-surface radiation condition for acoustic scattering problems in the high-frequency spectrum
- A fully discrete Galerkin method for high frequency exterior acoustic scattering in three dimensions
- A comparison between various boundary integral formulations of the exterior acoustic problem
- On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation
- Computing elliptic membrane high frequencies by Mathieu and Galerkin methods
- Boundary integral equations
- Potential techniques for boundary value problems on \(C^1\)-domains
- The construction of some efficient preconditioners in the boundary element method
- Inverse acoustic and electromagnetic scattering theory.
- Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line
- Wavenumber-explicit analysis for the Helmholtz \(h\)-BEM: error estimates and iteration counts for the Dirichlet problem
- Partial differential equations. 2: Qualitative studies of linear equations
- Boundary value problems and Hardy spaces associated to the Helmholtz equation in Lipschitz domains
- A high frequency boundary element method for scattering by a class of nonconvex obstacles
- When is the error in the \(h\)-BEM for solving the Helmholtz equation bounded independently of \(k\)?
- Optimal constants in nontrapping resolvent estimates and applications in numerical analysis
- Wavenumber-explicit continuity and coercivity estimates in acoustic scattering by planar screens
- A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering
- Condition number estimates for combined potential boundary integral operators in acoustic scattering
- Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
- Zur Dirichletschen Randwertaufgabe des Außenraumes der Schwingungsgleichung
- Wavenumber-explicit regularity estimates on the acoustic single- and double-layer operators
- Combining analytic preconditioner and fast multipole method for the 3-D Helmholtz equation
- Operator preconditioning
- Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency?
- Localization of Laplacian Eigenfunctions in Circular, Spherical, and Elliptical Domains
- Wave-number estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions
- Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering
- Restriction Bounds for the Free Resolvent and Resonances in Lossy Scattering
- Surface gradients and continuity properties for some integral operators in classical scattering theory
- Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation
- Numerical Estimation of Coercivity Constants for Boundary Integral Operators in Acoustic Scattering
- Wavenumber-Explicit $hp$-BEM for High Frequency Scattering
- Mapping Properties of Combined Field Helmholtz Boundary Integral Operators
- Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
- A new frequency-uniform coercive boundary integral equation for acoustic scattering
- Coercivity of Combined Boundary Integral Equations in High-Frequency Scattering
- The vectorization of ITPACK 2C
- Singularities of boundary value problems. II
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- A frequency-independent boundary element method for scattering by two-dimensional screens and apertures
- Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations
- SLEPc
- Wave-Number-Explicit Bounds in Time-Harmonic Scattering
- On the Acoustic Single Layer Potential: Stabilization and Fourier Analysis
- Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation
- On the choice of the coupling parameter in boundary integral formulations of the exterior acoustic problem
- ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR ASt→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS
- ScaLAPACK Users' Guide
- Alternative integral equations for the iterative solution of acoustic scattering problems
- A High Frequency $hp$ Boundary Element Method for Scattering by Convex Polygons
- New development in freefem++
- Resonances near the real axis imply existence of quasimodes
- Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping
- A high-frequency boundary element method for scattering by a class of multiple obstacles
- For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering
- MINIMIZING THE CONDITION NUMBER OF BOUNDARY INTEGRAL OPERATORS IN ACOUSTIC AND ELECTROMAGNETIC SCATTERING
- High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis
- Distribution of Resonances in Scattering by Thin Barriers
- Mathematical Theory of Scattering Resonances
- Regularized Combined Field Integral Equations for Acoustic Transmission Problems
- INTERPOLATION OF HILBERT AND SOBOLEV SPACES: QUANTITATIVE ESTIMATES AND COUNTEREXAMPLES
- Nouvelles formulations intégrales pour les problèmes de diffraction d'ondes
- A Galerkin Boundary Element Method for High Frequency Scattering by Convex Polygons
- Spectral decompositions and nonnormality of boundary integral operators in acoustic scattering
- A Refined Galerkin Error and Stability Analysis for Highly Indefinite Variational Problems
- The application of integral equation methods to the numerical solution of some exterior boundary-value problems
- Boundary Element Methods
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
