Dr Maryam Parvizi
I am a Research Fellow in Industrial and Applied Mathematics at the School of Mathematics, University of Birmingham working with Prof Fabian Spill.
Previously, I was an
Alexander von Humboldt Fellow and
postdoctoral researcher at the Institute of Applied Mathematics, Leibniz University Hannover, under the supervision of Prof Thomas Wick. Additionally, I was a scientific member of the Cluster of Excellence PhoenixD.
I was a visiting scholar at the Mathematical Institute, University of Oxford hosted by Prof Patrick Farrell.
Institute of Applied Mathematics, Leibniz University Hannover
Institute of Applied Mathematics, Leibniz University Hannover
Institute of Analysis and Scientific Computing, Vienna University of Technology
Department of Applied Mathematics, Tarbiat Modares University
Education
PhD (Dr. rer. nat.) in Mathematics
Vienna University of Technology
Supervisor: Prof. Jens Markus Melenk
MSc in Applied Mathematics
BSc in Pure Mathematics
Published articles:
20- M. Abbaszadeh, M. Parvizi, A. Khodadadian, T. Wick, M. Dehghan, A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model, 179, 197-211, 2025, Computers & Mathematics With Applications, DOI: 10.1016/j.camwa.2024.12.011
19- M. Abbaszadeh, A. Khodadadian, M. Parvizi, M. Dehghan, Dunhui Xiao, A reduced-order least squares-support vector regression and isogeometric collocation method to simulate Cahn-Hilliard-Navier-Stokes equation, Journal of Computational Physics, 523, 113650, 2025, DOI: 10.1016/j.jcp.2024.113650
18- S. Mirsian, W. Hilber, E. Khodadadian, M. Parvizi, A. Khodadadian, S. M. Khoshfetrat, C. Heitzinger, B. Jakoby, Graphene-based FETs for advanced biocatalytic profiling: Investigating heme peroxidase activity with machine learning insights, 192, 199, 2025, Microchimica Acta, DOI: 10.1007/s00604-025-06955-y
17- M. Abbaszadeh, A. Khodadadian, M. Parvizi and M. Dehghan, Investigation of combustion model via the local collocation technique based on moving Taylor polynomial (MTP) approximation/domain decomposition method with error analysis, Engineering Analysis with Boundary Elements, 159, 288-301, 2024, DOI: 10.1016/j.enganabound.2023.11.010
16- S. Shashaani, M. Teshnehlab, A. Khodadadian, M. Parvizi, T. Wick and N. Noii, Using layer-wise training for road semantic segmentation in autonomous cars, IEEE Access, 11, 46320-46329, 2023, DOI: 10.1109/ACCESS.2023.3255988
15- M. Faustmann, J. M. Melenk and M. Parvizi, Caccioppoli-type estimates and \(\mathcal H\)-Matrix approximations to inverses for FEM-BEM couplings, Numerische Mathematik, 150, 849-892, 2022, DOI: 10.1007/s00211-021-01261-0
14- A. Khodadadian, M. Parvizi, M. Teshnehlab and C. Heitzinger, Rational design of field-effect sensors using partial differential equations, Bayesian inversion, and artificial neural networks, Sensors, 22(13), 4785, 2022, DOI: 10.3390/s22134785
13- M. Faustmann, J. M. Melenk and M. Parvizi, \(\mathcal H\)-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations, Advances in Computational Mathematics, 48, 59, 2022, DOI: 10.1007/s10444-022-09965-z
12- M. Faustmann, J. M. Melenk and M. Parvizi, On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion, ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), 55(2), 595-625, 2021, DOI: 10.1051/m2an/2020079
11- M. Parvizi A. Khodadadian and M. R. Eslahchi, A mixed finite element method for solving coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term, Mathematical Methods in the Applied Sciences, 44(17), 12500-12521, 2021, DOI: 10.1002/mma.7556
10- A. Khodadadian, M. Parvizi and C. Heitzinger, An adaptive multilevel Monte Carlo algorithm for the stochastic drift-diffusion-Poisson system, Computer Methods in Applied Mechanics and Engineering, 368, 113163, 2020, DOI: 10.1016/j.cma.2020.113163
9- A. Khodadadian, N. Noii, M. Parvizi, M. Abbaszadeh, T. Wick and C. Heitzinger, A Bayesian estimation method for variational phase-field fracture problems, Computational Mechanics, 66(4), 827-849, 2020, DOI: 10.1007/s00466-020-01876-4
8- M. Parvizi, A. Khodadadian and M. Eslahchi, Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation, Journal of Computational and Applied Mathematics, 379, 112818, 2020, DOI: 10.1016/j.cam.2020.112818
7- M. Abbaszadeh, A. Khodadadian, M. Parvizi, M. Dehghan and C. Heitzinger, A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations, Engineering Analysis with Boundary Elements, 98, 253-264, 2019, DOI: 10.1007/s00466-019-01688-1
6- A. Khodadadian, M. Abbaszadeh, M. Parvizi, M. Dehghan and C. Heitzinger, A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation, Computational Mechanics, 64(4), 937-949, 2019, DOI: 10.1007/s00466-019-01688-1
5- M. Parvizi and M. Eslahchi, A numerical method based on extended Raviart-Thomas (ER-T) mixed finite element method for solving damped Boussinesq equation, Mathematical Methods in the Applied Sciences, 40(16), 5906-5924, 2017, DOI: 10.1002/mma.4442
4- M. Parvizi and M. Eslahchi The convergence and stability analysis of the Jacobi collocation method for solving nonlinear fractional differential equations with integral boundary conditions, Mathematical Methods in the Applied Sciences, 39(8), 2038-2056, 2016, DOI: 10.1002/mma.3619
3- M. Parvizi, M. Eslahchi and M. Dehghan, Numerical solution of fractional advection-diffusion equation with a nonlinear source term, Numerical Algorithm, 68, 601-629, 2015, DOI: 10.1007/s11075-014-9863-7
2- M. Eslahchi, M. Dehghan and M. Parvizi, Application of the collocation method for solving nonlinear fractional integro-differential equations, Journal of Computational and Applied Mathematics, 257, 105-12, 2014, DOI: 10.1016/j.cam.2013.07.044
1- M. Eslahchi and M. Parvizi, Application of collocation method in finding roots, Iranian Journal of Mathematical Sciences and Informatics, 8, 91-104, 2013, URL: https://www.sid.ir/paper/310352/en
Submitted articles:
2- M. Parvizi, A. Khodadadian and T. Wick, Analysis of a fully discretized FDM-FEM scheme for solving thermo-elastic-damage coupled nonlinear PDE systems, submitted for publication, 2024, ArXiv: 2302.01994
1- E. Khodadadian, S. Mirsian, S. Shashaani, M. Parvizi, A. Khodadadian, P. Knees, W. Hilber, and C. Heitzinger, A Bayesian inversion supervised learning framework for the enzyme activity in graphene field-effect transistors, submitted for publication, 2024
Proceedings and talks:
10- M. Parvizi, A. Khodadadian, S. Beuchler and T. Wick, Hierarchical LU preconditioning for the time-harmonic Maxwell equations, Domain Decomposition 27, Prague, Czech, January 21-25, 2022, DOI: 10.1007/978-3-031-50769-4_47
9- M. Parvizi, J. M. Melenk and M. Faustmann, \(\mathcal H\)-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations, Domain Decomposition 27, Prague, Czech, July 2022.
8- A. Khodadadian, N. Noii, M. Parvizi and Thomas Wick, A global/local approach for parameter estimation in phase-field fracture problems, ECCOMAS2022, Oslo, Norway, June 2022.
7- M. Parvizi, \(\mathcal H\)-Matrix approximations to inverses for FEM-BEM couplings, GAMM-FA Treffen, Hannover, Germany, June 2022.
6- M. Parvizi, \(\mathcal H\)-Matrix approximations to inverses for FEM-BEM couplings in Maxwell equations, Leibniz meets Humboldt Conference in Optics and Photonics, Hannover, Germany, June 2022. I got travel and accommodation awards for this conference.
5- M. Parvizi, \(\mathcal H\)-Matrix approximations to inverses for FEM-BEM couplings, Chemnitz Finite Element Symposium, Chemniz, Germany, September 2021.
4- A. Khodadadian, N. Noii, M. Parvizi M. Abbaszadeh, T. Wick and C. Heitzinger, Bayesian inversion for variational phase-field fracture problems, Chemnitz Finite Element Symposium, Munich, Germany, March, 2020.
3- M. Faustmann, J. M.Melenk, M. Parvizi and D. Praetorius, Optimal adaptivity and preconditioning for the fractional Laplacian, 90st GAMM Annual Meeting, Vienna, Austria, February 18-22, 2019.
2- A. Khodadadian, M. Parvizi and C. Heitzinger, Optimal multi-level Monte Carlo and adaptive grid refinement for the stochastic drift-diffusion-Poisson system, SIAM Conference on Uncertainty Quantification (UQ 2018), Garden Grove, CA, USA, April 16-19, 2018.
1- M. Faustmann, J. M.Melenk, M. Parvizi and D. Praetorius, Optimal adaptivity and preconditioning for the fractional Laplacian, Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2019), Conception, Chile, January 21-25, 2019.
1) Alexander von Humboldt Foundation (PI) April 2022 - March 2024
Grant: €100,000
2) UKRI-Analysis for Innovators Round 13 Mini Projects: Stage 2 (Co-PI) Nov 2024 - Feb 2025
Grant: £49,797
3) Royal Society Short Industry Fellowship 2024 (PI) Dec 2024 - May 2025
Project: Mathematical modeling of a new device for tumor measurement
Grant: £22,000
Winter term 2024-25
Winter term 2023-24
Summer term 2022-23
Winter term 2021-22
Summer term 2020
Winter term 2015-16
Institute of Analysis and Scientific Computing
Vienna University of Technology
hosted by Prof. Jens Markus Melenk
MATLAB
Python
FEniCS
Netgen/NGSolve
Firedrake
English (fluent speaker)
Persian (native speaker)
German (elementary speaker)
Alexander von Humboldt Fellowship
Alexander von Humboldt Fellowship, awarded by the Alexander von Humboldt Foundation for two years (2022-2024).
The Best Paper Awards 2021
Faculty of Mathematics and Geoinformation, TU Wien, Austria
M. Faustmann, J. M. Melenk and M. Parvizi, On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion. ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), 55(2), 595-625, 2021.