Robust Discontinuity Indicators for High-Order Reconstruction of Piecewise Smooth Functions

Robust Discontinuity Indicators for High-Order Reconstruction of Piecewise Smooth Functions

The accurate reconstruction of piecewise continuous functions on meshes is challenging due to potential spurious oscillations—namely the <i>Gibbs phenomenon</i>—especially for high-order methods. This paper introduces the <i>Robust Discontinuity Indicators</i> (<i>RDI&l...

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Bibliographic Details
Main Authors: Yipeng Li, Qiao Chen, Xiangmin Jiao
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Mathematics
Subjects:
piecewise continuous functions
high-order reconstruction
data remapping
Gibbs phenomenon
discontinuity indicators
Online Access:https://www.mdpi.com/2227-7390/13/15/2442
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