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- W3022128618 abstract "We propose numerical schemes that enable the application of particle methods for advection problems in general bounded domains. These schemes combine particle fields with Cartesian tensor product splines and a fictitious domain approach. Their implementation only requires a fitted mesh of the domain’s boundary, and not the domain itself, where an unfitted Cartesian grid is used. We establish the stability and consistency of these schemes in W s,p -norms, s ∈ ℝ, 1 ≤ p ≤ ∞." @default.
- W3022128618 created "2020-05-13" @default.
- W3022128618 creator A5091441996 @default.
- W3022128618 date "2021-01-01" @default.
- W3022128618 modified "2023-09-27" @default.
- W3022128618 title "On particles and splines in bounded domains" @default.
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- W3022128618 doi "https://doi.org/10.1051/m2an/2020032" @default.
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