2022/03/28 by Qiang Du, Zuoqiang Shi, Du, Qiang +1
Computer Science · Mathematics · #35A23 #45A05 #45P05 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #cs.NA #math.AP #math.NA #msc:35A23 #msc:45A05 #msc:45P05 #msc:46E35
paper · pdf · doi:10.48550/arxiv.2203.14491
accepted for publication in Numerical Mathematics: Theory, Methods and Applications
arxiv created 2022/03/29 · arxiv updated 2022/03/30
In this paper, we introduce a nonlocal model for linear steady Stokes system with physical no-slip boundary condition. We use the idea of volume constraint to enforce the no-slip boundary condition and prove that the nonlocal model is well-posed. We also show that and the solution of the nonlocal system converges to the solution of the original Stokes system as the nonlocality vanishes.