Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains
This paper proposes a frequency-time hybrid solver for the time-dependent wave equation in twodimensional interior spatial domains. The approach relies on four main elements, namely, 1) A multiple…
On the generalized Calderón formulas for closed- and open-surface elastic scattering problems
This work investigates weighted integral operators instead of the original integral operators which are resulted from dealing with edge singularities of potentials corresponding to the elastic scattering problems by open-surfaces, and proves that the Calderón formula is a compact perturbation of a bounded and invertible operator.
SHOWING 1-10 OF 46 REFERENCES
Windowed Green Function Method for Layered-Media Scattering
- Computer ScienceSIAM J. Appl. Math.
The WGF method, which is based on the use of smooth windowing functions and integral kernels that can be expressed directly in terms of the free-space Green function, does not require evaluation of expensive Sommerfeld integrals.
Windowed Green function method for the Helmholtz equation in the presence of multiply layered media
- Computer ScienceProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
The proposed windowed Green function approach efficiently evaluates oscillatory integrals over unbounded domains, with high accuracy, without recourse to the highly expensive Sommerfeld integrals that have typically been used to account for the effect of underlying planar multilayer structures.
A fast, high-order algorithm for the solution of surface scattering problems: basic implementation, tests, and applications
- Computer Science
The present algorithm can evaluate accurately in a personal computer scattering from bodies of acoustical sizes of several hundreds and exhibits super-algebraic convergence; it can be applied to smooth and nonsmooth scatterers, and it does not suffer from accuracy breakdowns of any kind.
Windowed Green Function Method for Nonuniform Open-Waveguide Problems
- PhysicsIEEE Transactions on Antennas and Propagation
This contribution presents a novel Windowed Green Function (WGF) method for the solution of problems of wave propagation, scattering, and radiation for structures that include open (dielectric)…
Regularized integral equation methods for elastic scattering problems in three dimensions
- MathematicsJ. Comput. Phys.
A Super-Algebraically Convergent, Windowing-Based Approach to the Evaluation of Scattering from Periodic Rough Surfaces
We introduce a new second-kind integral equation method to solve direct rough surface scattering problems in two dimensions. This approach is based, in part, upon the bounded obstacle scattering…
Theoretical aspects and numerical computation of the time-harmonic Green's function for an isotropic elastic half-plane with an impedance boundary condition
This work presents an effective and accurate method for determining, from a theoretical and computational point of view, the time-harmonic Green's function of an isotropic elastic half-plane where an…
Existence of solution in elastic wave scattering by unbounded rough surfaces
We consider the two‐dimensional problem of the scattering of a time‐harmonic wave, propagating in an homogeneous, isotropic elastic medium, by a rough surface on which the displacement is assumed to…
Radiation Conditions for Rough Surfaces in Linear Elasticity
The elastic scattering problem, as with every exterior boundary-value problem, must be accompanied by suitable radiation conditions, which reflect the asymptotic behaviour of the underlying fields.…
Windowed Integral Equation Methods for Problems of Scattering by Defects and Obstacles in Layered Media
This thesis concerns development of efficient high-order boundary integral equation methods for the numerical solution of problems of acoustic and electromagnetic scattering in the presence of planar…