Optimal convergence rates for the finite element approximation of the Sobolev constant

2025/04/13 by Ignat, Liviu I., Zuazua, Enrique · 2 citations
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2504.09637

Abstract

We establish optimal convergence rates for the P1 finite element approximation of the Sobolev constant in arbitrary dimensions N≥ 2 and for Lebesgue exponents 1

Cited by

• Galerkin Approximation of the Fractional Hardy Constant
• Sharp quantitative integral inequalities for harmonic extensions

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