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Document type:
Zeitschriftenaufsatz
Author(s):
Larsson, K.; Kollmannsberger, S.; Rank, E.; Larsson, M.
Title:
The Finite Cell Method with Least Squares Stabilized Nitsche Boundary Conditions
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
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