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A shifted boundary method based on extension operators

Publication ,  Journal Article
Zorrilla, R; Rossi, R; Scovazzi, G; Canuto, C; Rodríguez-Ferran, A
Published in: Computer Methods in Applied Mechanics and Engineering
March 1, 2024

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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Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

March 1, 2024

Volume

421

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

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Zorrilla, R., Rossi, R., Scovazzi, G., Canuto, C., & Rodríguez-Ferran, A. (2024). A shifted boundary method based on extension operators. Computer Methods in Applied Mechanics and Engineering, 421. https://doi.org/10.1016/j.cma.2024.116782
Zorrilla, R., R. Rossi, G. Scovazzi, C. Canuto, and A. Rodríguez-Ferran. “A shifted boundary method based on extension operators.” Computer Methods in Applied Mechanics and Engineering 421 (March 1, 2024). https://doi.org/10.1016/j.cma.2024.116782.
Zorrilla R, Rossi R, Scovazzi G, Canuto C, Rodríguez-Ferran A. A shifted boundary method based on extension operators. Computer Methods in Applied Mechanics and Engineering. 2024 Mar 1;421.
Zorrilla, R., et al. “A shifted boundary method based on extension operators.” Computer Methods in Applied Mechanics and Engineering, vol. 421, Mar. 2024. Scopus, doi:10.1016/j.cma.2024.116782.
Zorrilla R, Rossi R, Scovazzi G, Canuto C, Rodríguez-Ferran A. A shifted boundary method based on extension operators. Computer Methods in Applied Mechanics and Engineering. 2024 Mar 1;421.
Journal cover image

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

March 1, 2024

Volume

421

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences