A shifted boundary method based on extension operators
Author (s): Zorrilla, R.; Rossi, R.; Scovazzi, G.; Canuto, C. and Rodríguez-Ferran, A.Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 421
Date: 2024
Abstract:
We consider formulations of the Shifted Boundary Method based on extrapolation operators other than the Taylor expansion. In the specific case of the Poisson equation, we prove that this approach is stable, provided some basic properties of well-posedness of the extrapolation operator are verified.
Bibtex:
@article{ZORRILLA2024116782,
title = {A shifted boundary method based on extension operators},
journal = {Computer Methods in Applied Mechanics and Engineering},
volume = {421},
pages = {116782},
year = {2024},
issn = {0045-7825},
doi = {https://doi.org/10.1016/j.cma.2024.116782},
url = {https://www.sciencedirect.com/science/article/pii/S0045782524000380},
author = {Rubén Zorrilla and Riccardo Rossi and Guglielmo Scovazzi and Claudio Canuto and Antonio Rodríguez-Ferran}
}