$W^{1,p}$ error estimates of an IPDG and a class of HDG methods for the Poisson problem on convex polyhedral domains

2026-11-02来源 arXiv cs.NAEnglish

arXiv:2610.41747v1 Announce Type: new Abstract: This paper analyzes a symmetric interior penalty discontinuous Galerkin (IPDG) method, a hybrid mixed DG method, and two representative hybridizable discontinuous Galerkin (HDG) methods for the Poisson problem on convex polyhedral domains. For any fixed $\epsilon\in (0,\frac{1}{2})$, we first derive optimal discrete $W^{1,p}$ error estimates for $2\leq p

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$W^{1,p}$ error estimates of an IPDG and a class of HDG methods for the Poisson problem on convex polyhedral domains

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