Year: 2014
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 4 : pp. 726–744
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-IJNAM-549
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 4 : pp. 726–744
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Quadrature domain Free boundary problem Finite difference method Degenerate elliptic equation.