P. Ciarlet

activity

20152026

H

-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels

53 citations · 90 across the 6 of their papers we have counts for

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Showing 2018 · math.NAShow all

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math.NA2018

On the convergence in $H^{1}$ -norm for the fractional Laplacian

Juan Pablo Borthagaray, Patrick Ciarlet

We consider the numerical solution of the fractional Laplacian of index $s \in (1/2, 1)$ in a bounded domain $Ω$ with homogeneous boundary conditions. Its solution a priori belongs to…

On the convergence in H1-norm for the fractional Laplacian

On the convergence in $H^{1}$ -norm for the fractional Laplacian