Wave scattering problems in exterior domains with the method of fundamental solutions
From MaRDI portal
Publication:6493742
DOI10.1007/S00211-024-01395-XMaRDI QIDQ6493742
Pedro R. S. Antunes, Carlos J. S. Alves
Publication date: 29 April 2024
Published in: Numerische Mathematik (Search for Journal in Brave)
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)
Cites Work
- On the choice of source points in the method of fundamental solutions
- Scattering frequencies and Gevrey 3 singularities
- Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains
- The method of fundamental solutions for scattering and radiation problems.
- Numerical simulations on resonance poles -- the trapping case of two plane cracks
- A numerical algorithm to reduce ill-conditioning in meshless methods for the Helmholtz equation
- Comparisons of method of fundamental solutions, method of particular solutions and the MFS-QR; stability analysis
- Eigensolutions of multiply connected membranes using the method of fundamental solutions
- A logarithmic bound on the location of the poles of the scattering matrix
- The Method of Fundamental Solutions Applied to Some Inverse Eigenproblems
- Fundamental Solutions Method for Elliptic Boundary Value Problems
- La relation de possion pour l'equation des ondes dans un ouvert non borne application a la theorie de la diffusion
- Generic Properties of Eigenfunctions
- Decay of solutions of the wave equation outside nontrapping obstacles
- INTEGRAL EQUATIONS FOR THE EXTERIOR ACOUSTIC PROBLEM
- Étude numérique des pôles de résonance associés à la diffraction d'ondes acoustiques et élastiques par un obstacle en dimension 2
- Reviving the Method of Particular Solutions
- The method of functional equations for the approximate solution of certain boundary value problems
- Improved Integral Formulation for Acoustic Radiation Problems
- The application of integral equation methods to the numerical solution of some exterior boundary-value problems
This page was built for publication: Wave scattering problems in exterior domains with the method of fundamental solutions