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Preprint Sep 2026

High-Order Discontinuous Cut Finite Element Methods for Scalar Hyperbolic Conservation Laws

In this paper, we present a family of high-order cut finite element methods based on the discontinuous Galerkin (DG) framework for scalar hyperbolic conservation laws on complex domains. Building on our previous work, we develop a multidimensional formulation that combines macro-element stabilization with flux limiting...

Pei Fu, G. Kreiss, Ze-Lin Xin et al. · 2 citations

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