TY - JOUR
T1 - Fast Algorithms for Boundary Integral Equations on Elliptic Domains and Related Inverse Problems
AU - Weifu Fang, Fu-Rong Lin & Yan-Bo Ma
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 485
EP - 505
PY - 2019
DA - 2019/06
SN - 9
DO - http://doi.org/10.4208/eajam.130917.170818 
UR - https://global-sci.org/intro/article_detail/eajam/13163.html
KW - Robin boundary value problem, Robin inverse problem, circulant-like matrix, fast iterative methods.
AB - <p style="text-align: justify;">Fast algorithms for boundary integral equations connected with Robin boundary value problem for the Laplace equation in domains with ellipse or close to ellipse
boundaries are developed. It is shown that the coefficient matrices of discretisation
systems have a special structure. This fact is used to develop a fast algorithm for matrix vector multiplication and to implement it in the numerical methods used. Such an
approach is especially helpful in numerical methods for inverse problems, since many
methods of their solution repeatedly use forward solvers. The efficiency of the methods
is illustrated by numerical examples.</p>