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math.NA2019★ 3 cited
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion
Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
We provide an endpoint stability result for Scott-Zhang type operators in Besov spaces. For globally continuous piecewise polynomials these are bounded from into $B^{3/2}…
math.NA2019
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian
Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
For the discretization of the integral fractional Laplacian , , based on piecewise linear functions, we present and analyze a reliable weighted residual a poster…