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

We consider energy stable summation by parts finite difference methods (SBP-FD) for the homogeneous and piecewise homogeneous dynamic beam equation (DBE). Previously the constant coefficient problem has been solved with SBP-FD together with penalty terms (SBP-SAT) to impose boundary conditions. In t...

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Bibliographic Details

Published in:	Journal of computational physics Vol. 476; p. 111907
Main Authors:	Eriksson, Gustav, Werpers, Jonatan, Niemelä, David, Wik, Niklas, Zethrin, Valter, Mattsson, Ken
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.03.2023
Subjects:	Beräkningsvetenskap med inriktning mot numerisk analys Boundary treatment Dynamic beam equation Finite differences High order methods Scientific Computing with specialization in Numerical Analysis Summation by parts Boundary treatment High order methods Finite differences Summation by parts Dynamic beam equation
ISSN:	0021-9991, 1090-2716, 1090-2716
Online Access:	Get full text
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