19 citations · 63 across the 30 of their papers we have counts for
9 papers · 1 filter
Galerkin Approximation of the Fractional Hardy Constant
Andreea Dima, Liviu I. Ignat
We establish sharp estimates for the discrete optimal constant of the fractional Hardy Inequality in dimension , with fractional exponent $s\in \left(0,\min\left\{1,\frac{…
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…
Sharp numerical approximation of the Hardy constant
Liviu I. Ignat, Enrique Zuazua
We study the finite element approximation of the best constant in the classical Hardy inequality over bounded domains containing the origin in , for .…
Optimal convergence rates for the finite element approximation of the Sobolev constant
Liviu I. Ignat, Enrique Zuazua
We establish optimal convergence rates for the continuous piecewise affine finite element approximation of the Sobolev constant in arbitrary dimensions N\geq 2 and for Lebesgue exp…
Finite element approximation of the Hardy constant
Francesco Della Pietra, Giovanni Fantuzzi, Liviu I. Ignat +3
We consider finite element approximations to the optimal constant for the Hardy inequality with exponent in bounded domains of dimension or . For finite eleme…
A splitting method for the augmented Burgers equation
Liviu I. Ignat, Alejandro Pozo
In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of first order. We also analyze the large-time behavior of the approximated sol…