29 citations · 37 across the 7 of their papers we have counts for
3 papers · 1 filter
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}…
A Bayesian estimation method for variational phase-field fracture problems
Amirreza Khodadadian, Nima Noii, Maryam Parvizi +3
In this work, we propose a parameter estimation framework for fracture propagation problems. The fracture problem is described by a phase-field method. Parameter estimation is real…
An adaptive multilevel Monte Carlo algorithm for the stochastic drift-diffusion-Poisson system
Amirreza Khodadadian, Maryam Parvizi, Clemens Heitzinger
We present an adaptive multilevel Monte Carlo algorithm for solving the stochastic drift-diffusion-Poisson system with non-zero recombination rate. The a-posteriori error is estima…