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math.NA2023
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…
math.NA2019
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…
math.NA2019
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…