4 problems

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Conjecture that the three-dimensional DG error estimates hold
Let $\Omega$ be the domain, let $\mathcal{T}_h$ be a proper mesh in dimension $d$ , and let $u$ be the exact solution of the model problem with $u\in H^{k+1}(\Omega)$ , while $u_h$ i…
Conjectureopenanisotropic-meshes discontinuous-galerkin finite-elementsarXiv posted 2 days ago
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Conjecture on equivalence of the tetrahedral parameter and projected circumradius
Let $T$ be a tetrahedron, with $R_T$ defined by … where $l_1\leq l_2\leq\cdots\leq h_T$ are the edge lengths, and let the projected circumradius be the parameter defined for tetrah…
Conjectureopenanisotropic-meshes finite-elements mesh-generationarXiv posted 2 days ago
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Anisotropic $L^2$ error estimate for the Raviart–Thomas interpolation Stokes method
Let $\Omega$ be convex, let $\mathcal{T}_h$ satisfy a maximum angle condition, and let the ${\mathbf{H}}(\operatorname{div})$ interpolation operator be…
Conjectureopenanisotropic-meshes finite-element-methods stokes-equationsarXiv posted 2 days ago
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Error estimates for the modified type 4 anisotropic mesh refinement
Conjecture on the modified mesh. The assertion still holds for this refinement strategy. The paper does not pursue the claim further, because its proof does not immediately transfe…
Conjectureopenanisotropic-meshes finite-elements numerical-analysisarXiv posted 2 days ago

Conjecture that the three-dimensional DG error estimates hold