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.

A shifted boundary method based on extension operators / Zorrilla, Rubén; Rossi, Riccardo; Scovazzi, Guglielmo; Canuto, Claudio; Rodríguez-Ferran, Antonio. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 421:(2024), pp. 1-23. [10.1016/j.cma.2024.116782]

A shifted boundary method based on extension operators

Canuto, Claudio;
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2995183