A review of finite-element methods for time-harmonic acoustics

LL Thompson - The Journal of the Acoustical Society of America, 2006 - pubs.aip.org
State-of-the-art finite-element methods for time-harmonic acoustics governed by the
Helmholtz equation are reviewed. Four major current challenges in the field are specifically …

[图书][B] Inverse acoustic and electromagnetic scattering theory

DL Colton, R Kress, R Kress - 1998 - Springer
The purpose of this chapter is to provide a survey of our book by placing what we have to
say in a historical context. We obviously cannot give a complete account of inverse …

[图书][B] Linear integral equations

R Kress, V Maz'ya, V Kozlov - 1989 - Springer
In the fourteen years since the second edition of this book appeared, linear integral
equations have continued to be an active area of mathematics and they have revealed more …

A survey on inverse problems for applied sciences

F Yaman, VG Yakhno, R Potthast - Mathematical problems in …, 2013 - Wiley Online Library
The aim of this paper is to introduce inversion‐based engineering applications and to
investigate some of the important ones from mathematical point of view. To do this we …

A survey of finite element methods for time-harmonic acoustics

I Harari - Computer methods in applied mechanics and …, 2006 - Elsevier
Many of the current issues and methodologies related to finite element methods for time-
harmonic acoustics are reviewed. The effective treatment of unbounded domains is a major …

Newton's method for inverse obstacle scattering meets the method of least squares

R Kress - Inverse Problems, 2003 - iopscience.iop.org
The inverse scattering problem of how to image the shape of a scatterer D from the far-field
pattern for the scattering of time-harmonic waves can be interpreted as a nonlinear ill-posed …

Looking back on inverse scattering theory

D Colton, R Kress - SIAM Review, 2018 - SIAM
Looking Back on Inverse Scattering Theory Page 1 Copyright © by SIAM. Unauthorized
reproduction of this article is prohibited. SIAM REVIEW c 2018 Society for Industrial and Applied …

An ALE formulation of embedded boundary methods for tracking boundary layers in turbulent fluid–structure interaction problems

C Farhat, VK Lakshminarayan - Journal of Computational Physics, 2014 - Elsevier
Abstract Embedded Boundary Methods (EBMs) for Computational Fluid Dynamics (CFD) are
usually constructed in the Eulerian setting. They are particularly attractive for complex Fluid …

Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics

BB Guzina, M Bonnet - Inverse Problems, 2006 - iopscience.iop.org
The aim of this study is an extension and employment of the concept of topological
derivative as it pertains to the nucleation of infinitesimal inclusions in a reference (ie …

FETI-DPH: a dual-primal domain decomposition method for acoustic scattering

C Farhat, P Avery, R Tezaur, J Li - Journal of Computational …, 2005 - World Scientific
A dual-primal variant of the FETI-H domain decomposition method is designed for the fast,
parallel, iterative solution of large-scale systems of complex equations arising from the …