We consider the application of the Method of Fundamental Solutions (MFS) to homogeneous force Stokes problems in 2 and 3 space dimensions. The choice of the main basis functions for the implementation of the MFS is justified by a new density result of linear combinations of Stokeslets in the $L^2$-setting. This is convenient for Stokes flows with low degree of regularity which are found in many applications. In the case of mixed boundary conditions, Stresslets are added as basis functions in order to enforce the Neumann boundary condition. The accuracy of the method is investigated through a series of numerical tests, which include comparison between exact and numerical solutions and the application of the method to benchmark problems.

我们考虑将基本解法 (MFS) 应用于 2 维和 3 维空间中的均匀力斯托克斯问题。用于实现 MFS 的主要基函数的选择由 Stokeslet 线性组合的新密度结果证明是合理的${升}^2$-环境。这对于在许多应用中发现的具有低规律性的斯托克斯流很方便。在混合边界条件的情况下，Stresslets 被添加为基函数以强制执行 Neumann 边界条件。通过一系列数值测试来研究该方法的准确性，其中包括精确解与数值解之间的比较以及该方法在基准问题中的应用。