TY - JOUR
T1 - Numerical Schemes for Multi Phase Quadrature Domains
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 726
EP - 744
PY - 2014
DA - 2014/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/549.html
KW - Quadrature domain, Free boundary problem, Finite difference method, Degenerate elliptic equation.
AB - <p style="text-align: justify;">In this work, numerical schemes to approximate the solution of one and multi phase quadrature domains are presented. We shall construct a monotone, stable and consistent finite
difference method for both one and two phase cases, which converges to the viscosity solution of the
partial differential equation arising from the corresponding quadrature domain theory. Moreover,
we will discuss the numerical implementation of the resulting approach and present computational
tests.</p>