The Finite Cell Method with Least Squares Stabilized Nitsche Boundary Conditions
Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
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.
Zeitschriftentitel:
Computer Methods in Applied Mechanics and Engineering