A penalty-free Shifted Boundary Method of arbitrary order
Publication
, Journal Article
Collins, JH; Lozinski, A; Scovazzi, G
Published in: Computer Methods in Applied Mechanics and Engineering
December 15, 2023
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.
Duke Scholars
Published In
Computer Methods in Applied Mechanics and Engineering
DOI
ISSN
0045-7825
Publication Date
December 15, 2023
Volume
417
Related Subject Headings
- Applied Mathematics
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Collins, J. H., Lozinski, A., & Scovazzi, G. (2023). A penalty-free Shifted Boundary Method of arbitrary order. Computer Methods in Applied Mechanics and Engineering, 417. https://doi.org/10.1016/j.cma.2023.116301
Collins, J. H., A. Lozinski, and G. Scovazzi. “A penalty-free Shifted Boundary Method of arbitrary order.” Computer Methods in Applied Mechanics and Engineering 417 (December 15, 2023). https://doi.org/10.1016/j.cma.2023.116301.
Collins JH, Lozinski A, Scovazzi G. A penalty-free Shifted Boundary Method of arbitrary order. Computer Methods in Applied Mechanics and Engineering. 2023 Dec 15;417.
Collins, J. H., et al. “A penalty-free Shifted Boundary Method of arbitrary order.” Computer Methods in Applied Mechanics and Engineering, vol. 417, Dec. 2023. Scopus, doi:10.1016/j.cma.2023.116301.
Collins JH, Lozinski A, Scovazzi G. A penalty-free Shifted Boundary Method of arbitrary order. Computer Methods in Applied Mechanics and Engineering. 2023 Dec 15;417.
Published In
Computer Methods in Applied Mechanics and Engineering
DOI
ISSN
0045-7825
Publication Date
December 15, 2023
Volume
417
Related Subject Headings
- Applied Mathematics
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 01 Mathematical Sciences