Fast and Accurate Solutions of Steady Stokes Flows Using Multilevel Boundary Element Methods

摘要: Most recently, we have developed a novel multilevel boundary element method (MLBEM) for steady Stokes flows in irregular two-dimensional domains (Grigoriev, M.M., and Dargush, G.F., Comput. Methods. Appl. Mech. Eng., 2005). The algorithm permitted solutions with slightly over 16,000 degrees of freedom, which approximately 40-fold speedups were demonstrated the fast MLBEM compared to conventional Gauss elimination approach. Meanwhile, sevenfold memory savings attained algorithm. This paper extends methodology dramatically improve performance original formulation flows. For model problem an pentagon, demonstrate that new reduces CPU times by factor nearly 700,000. requirements are reduced more than times. These superior run-time reductions regular methods achieved while preserving accuracy solution.