2 papers
math.AP2012
Tangential Touch between the Free and the Fixed Boundary in a Semilinear Free Boundary Problem in Two Dimensions
Mahmoudreza Bazarganzadeh, Erik Lindgren
The main result of this paper concerns the behavior of a free boundary arising from a minimization problem, close to the fixed boundary in two dimensions.
math.NA2012
Numerical Approximation of One Phase Quadrature Domains
Mahmoudreza Bazarganzadeh, Farid Bozorgnia
In this work, we present two numerical schemes for a free boundary problem called one phase quadrature domain. In the first method by applying the proprieties of given free boundar…