A Fictitious-Domain Method with Distributed Multiplier for the Stokes Problem

摘要: This article is devoted to the numerical analysis of a fictitious domain method for Stokes problem, where boundary condition enforced weakly by means multiplier defined in portion domain. In practice, this applied example sedimentation many particles fluid. It found that divergence-free. We present here sufficient conditions on relative mesh sizes convergence discrete method. Also, we show how constraint divergence can be relaxed when such problem discretized.