@Article{IJNAM-13-166,
author = {S.-D. M. Zhang and Z.-L. Li},
title = {An Augmented IIM for Helmholtz/Poisson Equations on Irregular Domains in Complex Space},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2016},
volume = {13},
number = {1},
pages = {166--178},
abstract = {<p style="text-align: justify;">In this paper, an augmented immersed interface method has been developed for
Helmholtz/Poisson equations on irregular domains in complex space. One of motivations of this
paper is for simulations of wave scattering in different geometries. This paper is the first immersed
interface method in complex space. The new method utilizes a combination of methodologies including
the immersed interface method, a fast Fourier transform, augmented strategies, least
squares interpolations, and the generalized minimal residual method (GMRES) for a Schur complement
system, all in complex space. The new method is second order accurate in the $L^∞$ norm
and requires $O(N log(N))$ operations. Numerical examples are provided for a variety of real or
complex wave numbers.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/432.html}
}