Convergence of the immersed-boundary finite-element method for the Stokes problem

Autor: Saito, Norikazu, Sugitani, Yoshiki
Rok vydání: 2016
Předmět:
Zdroj: Numer. Methods Partial Differential Equations, Vol. 35, Issue 1 (2018) 181-199
Druh dokumentu: Working Paper
DOI: 10.1002/num.22296
Popis: Convergence results for the immersed boundary method applied to a model Stokes problem with the homogeneous Dirichlet boundary condition are presented. As a discretization method, we deal with the finite element method. First, the immersed force field is approximated using a regularized delta function and its error in the $W^{-1,p}$ norm is examined for $1\le p
Databáze: arXiv