Nyström discretizations of boundary integral equations for the solution of 2D elastic scattering problems
DOI10.1016/j.cam.2023.115622arXiv2206.11965MaRDI QIDQ6126050
Víctor Domínguez, Catalin Turc
Publication date: 9 April 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.11965
boundary integral equationspreconditionersNyström discretizationstime-domain and time-harmonic Navier scattering problems
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for trigonometric approximation and interpolation (65T40) Boundary element methods for boundary value problems involving PDEs (65N38) Preconditioners for iterative methods (65F08)
Cites Work
- Unnamed Item
- Well-posed boundary integral equation formulations and Nyström discretizations for the solution of Helmholtz transmission problems in two-dimensional Lipschitz domains
- Quadrature by expansion: a new method for the evaluation of layer potentials
- High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane
- Runge-Kutta convolution quadrature for operators arising in wave propagation
- Regularized integral equation methods for elastic scattering problems in three dimensions
- A Nyström method for boundary integral equations in domains with corners
- Boundary integral equations
- Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics
- Quadruple and octuple layer potentials in two dimensions. I: Analytical apparatus.
- On the numerical solution of a hypersingular integral equation in scattering theory
- Well-conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners
- A fully discrete Calderón calculus for the two-dimensional elastic wave equation
- Analytical preconditioners for Neumann elastodynamic boundary element methods
- Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
- Ein numerisches Verfahren zur Lösung des Neumannschen Außenraumproblems für die Helmholtzsche Schwingungsgleichung
- Über eine Methode zum räumlichen Neumannschen Problem mit einer Anwendung für torusartige Berandungen
- Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves
- Wave-number estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions
- On the Convergence of Local Expansions of Layer Potentials
- Overresolving in the Laplace Domain for Convolution Quadrature Methods
- Multistep and Multistage Convolution Quadrature for the Wave Equation: Algorithms and Experiments
- Generalized Reproducing Kernels and Generalized Delta Functions
- A fast multipole accelerated BEM for 3-D elastic wave computation
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Fast solvers of integral and pseudodifferential equations on closed curves
- Hybrid Gauss-Trapezoidal Quadrature Rules
- On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack
- Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems
- Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces
- A Framework for Simulation of Multiple Elastic Scattering in Two Dimensions
- Rapid Solution of the Wave Equation in Unbounded Domains
- The application of integral equation methods to the numerical solution of some exterior boundary-value problems
This page was built for publication: Nyström discretizations of boundary integral equations for the solution of 2D elastic scattering problems