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• W2617415243 abstract "This paper presents an extension of a recently developed high order finite difference method for the wave equation on a grid with non-conforming interfaces. The stability proof of the existing methods relies on the interpolation operators being norm-contracting, which is satisfied by the second and fourth order operators, but not by the sixth order operator. We construct new penalty terms to impose interface conditions such that the stability proof does not require the norm-contracting condition. As a consequence, the sixth order accurate scheme is also provably stable. Numerical experiments demonstrate the improved stability and accuracy property." @default.
• W2617415243 created "2017-06-05" @default.
• W2617415243 creator A5061589353 @default.
• W2617415243 date "2018-05-09" @default.
• W2617415243 modified "2023-10-18" @default.
• W2617415243 title "An Improved High Order Finite Difference Method for Non-conforming Grid Interfaces for the Wave Equation" @default.
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• W2617415243 doi "https://doi.org/10.1007/s10915-018-0723-9" @default.
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