convergence rates 1finite element method 1fractional Hardy inequality 1Galerkin approximation 1mesh regularity 1piecewise linear elements 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.NA2026
Galerkin Approximation of the Fractional Hardy Constant
Andreea Dima, Liviu I. Ignat
The paper derives sharp estimates for the discrete optimal constant in the fractional Hardy inequality and analyzes convergence rates of a Galerkin finite element method with piece…
math.NA2026
Galerkin Approximation of the Fractional Sobolev Constant
Andreea Dima, Liviu I. Ignat
We establish sharp estimates for the discrete optimal constant of the fractional Sobolev inequality in dimension , with fractional exponent . The c…