Login
- Title:
The Finite Cell Method with Least Squares Stabilized Nitsche Boundary Conditions
- Document type:
- Zeitschriftenaufsatz
- Author(s):
- Larsson, K.; Kollmannsberger, S.; Rank, E.; Larsson, M.
- Abstract:
- We apply the recently developed least squares stabilized symmetric Nitsche method for enforcement of Dirichlet boundary conditions to the finite cell method. The least squares stabilized Nitsche method in combination with finite cell stabilization leads to a symmetric positive definite stiffness matrix and relies only on elementwise stabilization, which does not lead to additional fill in. We prove a priori error estimates and bounds on the condition numbers.
- Journal title:
- Computer Methods in Applied Mechanics and Engineering
- Year:
- 2022
- Journal volume:
- 393
- Year / month:
- 2022-04
- Quarter:
- 2. Quartal
- Month:
- Apr
- Journal issue:
- 8
- Pages contribution:
- x-x
- Covered by:
- Scopus
- Fulltext / DOI:
- doi:10.1016/j.cma.2022.114792
- WWW:
- http://arxiv.org/abs/2110.14225
- Status:
- Verlagsversion / published
BibTeX