32 citations · 83 across the 11 of their papers we have counts for
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Global-Local Forward Models within Bayesian Inversion for Large Strain Fracturing in Porous Media
Nima Noii, Thomas Wick, Amirreza Khodadadian
In this work, Bayesian inversion with global-local forwards models is used to identify the parameters based on hydraulic fractures in porous media. It is well-known that using Baye…
Analysis of a fully discretized FDM-FEM scheme for solving thermo-elastic-damage coupled nonlinear PDE systems
Maryam Parvizi, Amirreza Khodadadian, Thomas Wick
In this paper, we consider a nonlinear PDE system governed by a parabolic heat equation coupled in a nonlinear way with a hyperbolic momentum equation describing the behavior of a…
Hierarchical LU preconditioning for the time-harmonic Maxwell equations
Maryam Parvizi, Amirreza Khodadadian, Sven Beuchler +1
The time-harmonic Maxwell equations are used to study the effect of electric and magnetic fields on each other. Although the linear systems resulting from solving this system using…
Probabilistic failure mechanisms via Monte Carlo simulations of complex microstructures
Nima Noii, Amirreza Khodadadian, Fadi Aldakheel
A probabilistic approach to phase-field brittle and ductile fracture with random material and geometric properties is proposed within this work. In the macroscopic failure mechanic…
Bayesian inversion for unified ductile phase-field fracture
Nima Noii, Amirreza Khodadadian, Jacinto Ulloa +4
The prediction of crack initiation and propagation in ductile failure processes are challenging tasks for the design and fabrication of metallic materials and structures on a large…
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…