32 citations · 83 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
Analysis of a Legendre spectral element method (LSEM) for the two-dimensional system of a nonlinear stochastic advection-reaction-diffusion models
Mostafa Abbaszadeh, Amirreza Khodadadian, Mehdi Dehghan +1
In this work, we develop a Legendre spectral element method (LSEM) for solving the stochastic nonlinear system of advection-reaction-diffusion models. The used basis functions are…
Generalized moving least squares and moving kriging least squares approximations for solving the transport equation on the sphere
Vahid Mohammadi, Mehdi Dehghan, Amirreza Khodadadian +1
In this work, we apply two meshless methods for the numerical solution of the time-dependent transport equation defined on the sphere in spherical coordinates. The first technique,…
Bayesian inversion for nanowire field-effect sensors
Amirreza Khodadadian, Benjamin Stadlbauer, Clemens Heitzinger
Nanowire field-effect sensors have recently been developed for label-free detection of biomolecules. In this work, we introduce a computational technique based on Bayesian estimati…
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…