On norms and traces of the derivatives of the $L^2$-projection error

Torsten Linß; Christos Xenophontos

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arXiv · 2601.06625

On norms and traces of the derivatives of the $L^2$-projection error

Torsten Linß·Christos Xenophontos

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Abstract

We provide error bounds on the traces and norms of the derivative of the $L^2$ projection of an $H^{k}$ function onto the space of polynomials of degree $\leq p$. The bounds are explicit in the order of differentiation and the polynomial degree $p$.

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Torsten Linß, Christos Xenophontos. 2026-02-02. On norms and traces of the derivatives of the $L^2$-projection error. https://arxiv.org/abs/2601.06625

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