29 citations · 37 across the 7 of their papers we have counts for
7 papers
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…
-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations
Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
The inverse of the stiffness matrix of the time-harmonic Maxwell equation with perfectly conducting boundary conditions is approximated in the blockwise low-rank format of ${\mathc…
Caccioppoli-type estimates and -Matrix approximations to inverses for FEM-BEM couplings
Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
We consider three different methods for the coupling of the finite element method and the boundary element method, the Bielak-MacCamy coupling, the symmetric coupling, and the John…
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…