A high-order algorithm for time-domain scattering in three dimensions
DOI10.1007/s10444-023-10033-3zbMath1526.65042OpenAlexW4382068065MaRDI QIDQ6168050
No author found.
Publication date: 8 August 2023
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-023-10033-3
wave equationconvolution quadraturesurface integral equationshigh-order spectral methodtime-domain scattering
Initial-boundary value problems for second-order hyperbolic equations (35L20) Integral representations of solutions to PDEs (35C15) Wave equation (35L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Direct numerical methods for linear systems and matrix inversion (65F05) Toeplitz, Cauchy, and related matrices (15B05) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)
Cites Work
- Unnamed Item
- Unnamed Item
- Spectrally accurate numerical solution of hypersingular boundary integral equations for three-dimensional electromagnetic wave scattering problems
- A new and improved analysis of the time domain boundary integral operators for the acoustic wave equation
- A fully discrete Galerkin method for high frequency exterior acoustic scattering in three dimensions
- Runge-Kutta convolution quadrature for operators arising in wave propagation
- A high order spectral algorithm for elastic obstacle scattering in three dimensions
- Fast convolution quadrature for the wave equation in three dimensions
- Toward an efficient triangle-based spherical harmonics representation of 3D objects
- A high-order tangential basis algorithm for electromagnetic scattering by curved surfaces
- Finite element analysis of acoustic scattering
- On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
- Convolution quadrature for the wave equation with impedance boundary conditions
- Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\)
- A high-order algorithm for obstacle scattering in three dimensions
- A coercive heterogeneous media Helmholtz model: formulation, wavenumber-explicit analysis, and preconditioned high-order FEM
- High-order discretization of a stable time-domain integral equation for 3D acoustic scattering
- An overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: formulation, analysis, algorithm, and simulation
- Analysis and application of an overlapped FEM-BEM for wave propagation in unbounded and heterogeneous media
- Symmetric boundary-finite element discretization of time dependent acoustic scattering by elastic obstacles with piezoelectric behavior
- Material derivatives of boundary integral operators in electromagnetism and application to inverse scattering problems
- Multistep and Multistage Convolution Quadrature for the Wave Equation: Algorithms and Experiments
- Retarded Potentials and Time Domain Boundary Integral Equations
- Fundamentals of Radar Imaging
- Fast Numerical Solution of Nonlinear Volterra Convolution Equations
- On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
- Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature
- A New Spectral Boundary Integral Collocation Method for Three-Dimensional Potential Problems
- Boundary and coupled boundary–finite element methods for transient wave–structure interaction
- Formulation variationnelle espace‐temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique (I)
- Time-Domain Scattering
- Solving Ordinary Differential Equations II
- Inverse Acoustic and Electromagnetic Scattering Theory
- Sound Scattering on Spherical Objects
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
This page was built for publication: A high-order algorithm for time-domain scattering in three dimensions
