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• W4313644944 abstract "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 this work, we revisit this problem and compare SBP-SAT to the projection method (SBP-P). We also consider the DBE with discontinuous coefficients and present novel SBP-SAT, SBP-P, and hybrid SBP-SAT-P discretizations for imposing interface conditions. To demonstrate the methodology for two-dimensional problems, we also present a discretization of the piecewise homogeneous dynamic Kirchoff-Love plate equation based on the hybrid SBP-SAT-P method. Numerical experiments show that all methods considered are similar in terms of accuracy, but that SBP-P can be more computationally efficient (less restrictive time step requirement for explicit time integration methods) for both the constant and piecewise constant coefficient problems." @default.
• W4313644944 created "2023-01-07" @default.
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• W4313644944 date "2023-03-01" @default.
• W4313644944 modified "2023-10-18" @default.
• W4313644944 title "Boundary and interface methods for energy stable finite difference discretizations of the dynamic beam equation" @default.
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• W4313644944 doi "https://doi.org/10.1016/j.jcp.2023.111907" @default.
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