A penalty-free Shifted Boundary Method of arbitrary order
Numerical Analysis
2023-06-23 v1 Numerical Analysis
Abstract
We introduce and analyze a penalty-free formulation of the Shifted Boundary Method (SBM), inspired by the asymmetric version of the Nitsche method. We prove its stability and convergence for arbitrary order finite element interpolation spaces and we test its performance with a number of numerical experiments. Moreover, while the SBM was previously believed to be only asymptotically consistent (in the sense of Galerkin orthogonality), we prove here that it is indeed exactly consistent.
Keywords
Cite
@article{arxiv.2306.12706,
title = {A penalty-free Shifted Boundary Method of arbitrary order},
author = {J. Haydel Collins and Alexei Lozinski and Guglielmo Scovazzi},
journal= {arXiv preprint arXiv:2306.12706},
year = {2023}
}