In this work, we propose and compare three numerical methods to handle the one-phase Hele-Shaw problem with surface tension in dimension two by using three variational approaches in the spirit of the seminal works \cite{Otto, Gia_Otto}.

翻译：本文提出并比较了三种数值方法，用于处理二维空间中含表面张力的一相Hele-Shaw问题。这些方法基于三项变分途径，其思想源于开创性工作\cite{Otto, Gia_Otto}。