𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The method of integral equation for scattering problem with a mixed crack

✍ Scribed by Guozheng Yan


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
138 KB
Volume
34
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis


We consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having a mixed open crack (or arc) in R 2 as the cross section. The crack is made up of two parts, and one of the two parts is (possibly) coated by a material with surface impedance . We transform the scattering problem into a system of boundary integral equations by adopting a potential approach, and establish the existence and uniqueness of a weak solution to the system by the Fredholm theory.


πŸ“œ SIMILAR VOLUMES


Boundary integral method for scattering
✍ Guozheng Yan; Jianguo Ye πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 207 KB

We consider the scattering of time‐harmonic acoustic plane waves by a crack buried in a piecewise homogeneous medium. The integral representation for a solution is obtained in the form of potentials by using Green's formula. The density in potentials satisfies the uniquely solvable Fredholm integral

A Hybrid Finite Element and Integral Equ
✍ Bruno Stupfel πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 188 KB

A domain decomposition method (DDM) is presented for the solution of the timeharmonic electromagnetic scattering problem by inhomogeneous 3-D objects. The computational domain is partitioned into concentric subdomains on the interfaces of which Robin-type transmission conditions are prescribed. On t

Analysis of segregated boundary-domain i
✍ O. Chkadua; S.E. Mikhailov; D. Natroshvili πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 171 KB

## Abstract Segregated direct boundary‐domain integral equation (BDIE) systems associated with mixed, Dirichlet and Neumann boundary value problems (BVPs) for a scalar β€œLaplace” PDE with variable coefficient are formulated and analyzed for domains with interior cuts (cracks). The main results estab

A memory efficient testing scheme for co
✍ T. H. Ng; B. L. Ooi; P. S. Kooi πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 306 KB πŸ‘ 1 views

A new memory efficient testing procedure for method of moment (MoM) has been proposed for solving combined field integral equation (CFIE) using adaptive integral method (AIM) for closed perfect electric conductor (PEC) scatterers. CFIE is a linear combination of electric field integral equation (EFI

High-accuracy product integration method
✍ R. F. Cameron; S. McKee πŸ“‚ Article πŸ“… 1983 πŸ› John Wiley and Sons 🌐 English βš– 317 KB

## Abstract In this paper we present orsder three, four and five backward product integration methods for the generalized Abel equation equation image We illustrate their use by silving the small angle deflection problem, and show computationally that these methods are convergent for all Ο΅ Ο΅(0,1)