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High-Order Invariant-Domain Preserving Continuous Finite Elements via Graph-Poisson Convex Limiting
We develop a high-order, locally conservative, invariant-domain preserving continuous finite element method for nonlinear scalar conservation laws. A first-order graph-viscosity scheme is built on the fine-$\mathbb P_1$ submesh induced by the high-order nodes, so that it remains compact and has posi
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