A SMOOTH EMBEDDING DOMAIN METHOD BASED ON THE PENALTY APPROACH

作者:Haslinger J; Kozubek T; Peichl G*
来源:Numerical Functional Analysis and Optimization, 2011, 32(12): 1252-1270.
DOI:10.1080/01630563.2011.597533

摘要

It is well known that convergence of the fictitious domain formulation with boundary Lagrange multipliers is slow due to the lower global regularity of its solution. This article presents a smoothed variant of this approach which is based on a formulation in the form of a state constraint optimal control problem. The convergence rate is increased as seen from a model example.

  • 出版日期2011