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20032026
most citedSpectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations

69 citations · 128 across the 20 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

gr-qc2022★ 1 cited

Equatorial Lensing in the Balasin-Grumiller Galaxy Model

Marco Galoppo, Sergio Luigi Cacciatori, Vittorio Gorini +1

The Balasin-Grumiller model has been the first model employed as an attempt towards providing a fully general relativistic description of the dynamics of a disc galaxy. In this pap…

math.NA2022

A smoothing analysis for multigrid methods applied to tempered fractional problems

D. Ahmad, M. Donatelli, M. Mazza +2

We consider the numerical solution of time-dependent space tempered fractional diffusion equations. The use of Crank-Nicolson in time and of second-order accurate tempered weighted…

math.NA2022

Multigrid for two-sided fractional differential equations discretized by finite volume elements on graded meshes

Marco Donatelli, Rolf Krause, Mariarosa Mazza +1

It is known that the solution of a conservative steady-state two-sided fractional diffusion problem can exhibit singularities near the boundaries. As consequence of this, and due t…

math.NA2022★ 4 cited

A ghost-point smoothing strategy for geometric multigrid on curved boundaries

Armando Coco, Mariarosa Mazza, Matteo Semplice

We present a Boundary Local Fourier Analysis (BLFA) to optimize the relaxation parameters of boundary conditions in a multigrid framework. The method is implemented to solve ellipt…

math.NA2022★ 13 cited

Rectangular GLT Sequences

Giovanni Barbarino, Carlo Garoni, Mariarosa Mazza +1

The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for computing the asymptotic spectral distribution of square matrices arising from the disc…