An introduction to operator preconditioning for the fast iterative integral equation solution of time-harmonic scattering problems
X Antoine, M Darbas - Multiscale Science and Engineering, 2021 - Springer
The aim of this paper is to provide an introduction to the improved iterative Krylov solution of
boundary integral equations for time-harmonic scattering problems arising in acoustics …
boundary integral equations for time-harmonic scattering problems arising in acoustics …
[HTML][HTML] Numerical simulations of MHD mixed convection of hybrid nanofluid flow in a horizontal channel with cavity: Impact on heat transfer and hydrodynamic forces
In this paper, we explore the characteristics of heat transfer and fluid flow of hybrid nanofluid
enclosed in a horizontal channel with cavity having an obstacle. The dimensionless …
enclosed in a horizontal channel with cavity having an obstacle. The dimensionless …
Schur complement domain decomposition methods for the solution of multiple scattering problems
M Pedneault, C Turc, Y Boubendir - IMA Journal of Applied …, 2017 - academic.oup.com
We present a Schur complement domain decomposition (DD) algorithm for the solution of
frequency domain multiple scattering problems. Just as in the classical DD methods, we (1) …
frequency domain multiple scattering problems. Just as in the classical DD methods, we (1) …
Reconstructing the shape and material parameters of dissipative obstacles using an impedance model
In inverse scattering problems, a model that allows for the simultaneous recovery of both the
domain shape and an impedance boundary condition covers a wide range of problems with …
domain shape and an impedance boundary condition covers a wide range of problems with …
A plane-wave singularity subtraction technique for the classical Dirichlet and Neumann combined field integral equations
C Pérez-Arancibia - Applied Numerical Mathematics, 2018 - Elsevier
This paper presents expressions for the classical combined field integral equations for the
solution of Dirichlet and Neumann exterior Helmholtz problems on the plane, in terms of …
solution of Dirichlet and Neumann exterior Helmholtz problems on the plane, in terms of …
Multitrace/singletrace formulations and domain decomposition methods for the solution of Helmholtz transmission problems for bounded composite scatterers
We present Nyström discretizations of multitrace/singletrace formulations and non-
overlapping Domain Decomposition Methods (DDM) for the solution of Helmholtz …
overlapping Domain Decomposition Methods (DDM) for the solution of Helmholtz …
Domain Decomposition Methods based on quasi-optimal transmission operators for the solution of Helmholtz transmission problems
Y Boubendir, C Jerez-Hanckes… - arXiv preprint arXiv …, 2017 - arxiv.org
We present non-overlapping Domain Decomposition Methods (DDM) based on quasi-
optimal transmission operators for the solution of Helmholtz transmission problems with …
optimal transmission operators for the solution of Helmholtz transmission problems with …
Analysis of approximate solution for a class of systems of integral equations
EH Khalilov - Computational Mathematics and Mathematical Physics, 2022 - Springer
The paper presents a substantiation of the collocation method for a system of integral
equations for the field-matching boundary value problem for the Helmholtz equation in two …
equations for the field-matching boundary value problem for the Helmholtz equation in two …
[HTML][HTML] Long time decay for 3D Navier-Stokes equations in Fourier-Lei-Lin spaces
L Jlali - Open Mathematics, 2021 - degruyter.com
In this paper, we study the long time decay of global solution to the 3D incompressible
Navier-Stokes equations. We prove that if u∈ C (R+, X− 1, σ (R 3)) is a global solution to the …
Navier-Stokes equations. We prove that if u∈ C (R+, X− 1, σ (R 3)) is a global solution to the …
Smoothed combined field integral equations for exterior Helmholtz problems
C Pérez-Arancibia - arXiv preprint arXiv:1701.03672, 2017 - arxiv.org
This paper presents smoothed combined field integral equations for the solution of Dirichlet
and Neumann exterior Helmholtz problems. The integral equations introduced in this paper …
and Neumann exterior Helmholtz problems. The integral equations introduced in this paper …