TY - JOUR
T1 - The finite cell method with least squares stabilized Nitsche boundary conditions
AU - Larsson, Karl
AU - Kollmannsberger, Stefan
AU - Rank, Ernst
AU - Larson, Mats G.
N1 - Publisher Copyright:
© 2022 The Author(s)
PY - 2022/4/1
Y1 - 2022/4/1
N2 - 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.
AB - 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.
KW - A priori error estimates
KW - Dirichlet conditions
KW - Finite cell method
KW - Nitsche's method
UR - http://www.scopus.com/inward/record.url?scp=85126527849&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2022.114792
DO - 10.1016/j.cma.2022.114792
M3 - Article
AN - SCOPUS:85126527849
SN - 0045-7825
VL - 393
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
M1 - 114792
ER -