The Finite Cell Method with Least Squares Stabilized Nitsche Boundary Conditions
Numerical Analysis
2022-03-17 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2110.14225,
title = {The Finite Cell Method with Least Squares Stabilized Nitsche Boundary Conditions},
author = {Karl Larsson and Stefan Kollmannsberger and Ernst Rank and Mats G. Larson},
journal= {arXiv preprint arXiv:2110.14225},
year = {2022}
}