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 …

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 …

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) …

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 …

We present Nyström discretizations of multitrace/singletrace formulations and non-
overlap** Domain Decomposition Methods (DDM) for the solution of Helmholtz …

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 …

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 …

Дано обоснование метода коллокации для интегрального уравнения внешней краевой
задачи Дирихле для уравнения Гельмгольца в двумерном пространстве. Предложен …

We prove the existence theorem for the normal derivative of the double-layer potential and
establish the formula for its evaluation. A new method for the construction of quadrature …