Abstract
Since the fundamental solution for transient Stokes flow in three dimensions is complicated it is difficult to implement discretization methods for boundary integral formulations. We derive a representation of the Stokeslet and stresslet in terms of incomplete gamma functions and investigate the nature of the singularity of the single- and double layer potentials. Further, we give analytical formulas for the time integration and develop Galerkin schemes with tensor product piecewise polynomial ansatz functions. Numerical results demonstrate optimal convergence rates.
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Communicated by: Gunnar J Martinsson
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Choi, Y.O., Tausch, J. The Galerkin boundary element method for transient Stokes flow. Adv Comput Math 43, 473–493 (2017). https://doi.org/10.1007/s10444-016-9493-9
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DOI: https://doi.org/10.1007/s10444-016-9493-9