Boundary and interface methods for energy stable finite difference discretizations of the dynamic beam equation

DOI10.1016/J.JCP.2023.111907OpenAlexW4313644944MaRDI QIDQ2681117

Jonatan Werpers, Ken Mattsson, Niklas Wik, Gustav Eriksson, Valter Zethrin, David Niemelä

Publication date: 10 February 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.13131

zbMATH Keywords

finite differenceshigh order methodsboundary treatmentsummation by partsdynamic beam equation

Mathematics Subject Classification ID

Thin bodies, structures (74Kxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Cites Work

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• Summation by Parts, Projections, and Stability. I
• Summation by Parts, Projections, and Stability. II
• Order-Preserving Interpolation for Summation-by-Parts Operators at Nonconforming Grid Interfaces

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