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Numerical Schemes for Multi Phase Quadrature Domains
Mathematics department.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: International Journal of Numerical Analysis & Modeling, ISSN 1705-5105, Vol. 11, no 4, 726-744 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2014. Vol. 11, no 4, 726-744 p.
Keyword [en]
Quadrature domain; Free boundary problem; Finite difference method; Degenerate elliptic equation
National Category
Research subject
Numerical Analysis
URN: urn:nbn:se:uu:diva-183391ISI: 000343624500004OAI: diva2:562597
Available from: 2012-12-07 Created: 2012-10-25 Last updated: 2014-12-03Bibliographically approved

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Bazarganzadeh, Mahmoudreza
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