I did my PhD at University College London, under the supervision of Lauri Oksanen and Erik Burman. I worked on unique continuation problems and stabilised finite element methods, with a general interest in numerical analysis for PDEs and inverse problems.

Recent and upcoming events

• Giving a talk at the online Conference on System Modelling and Optimization IFIP TC7 on 2 September 2021.
• Giving a talk in the online seminar Control in Times of Crisis on 21 January 2021.
• Giving a talk in the Inverse Problems in Shape and Geometry session at ICIAM Valencia in July 2019.
• Co-organising with Lauri Oksanen a minysimposium on Computational Methods for Inverse Problems at AIP Grenoble in July 2019.

Publications

• A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime,

  E. Burman, M. Nechita, and L. Oksanen,

  Numer. Math. (to appear), 2022.

• A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime,

  E. Burman, M. Nechita, and L. Oksanen,

  Numer. Math., 144:451-477, 2020.

• Numerical benchmark study for flow in highly heterogeneous aquifers,

  C.D. Alecsa et al.,

  Adv. Water. Resour., 138:103558, 2020.

• Unique continuation for the Helmholtz equation using stabilized finite element methods,

  E. Burman, M. Nechita, and L. Oksanen,

  J. Math. Pures Appl., 129:1-22, 2019.

  FEniCS implementation (GitHub).

• Invariant sets and attractors for Hanusse-type chemical systems with diffusions,

  G. Moroşanu and M. Nechita,

  Comput. Math. Appl., 73(8):1815-1823, 2017.

Teaching

• 2019-2020: first year pure and applied tutorials, problem class for Newtonian Mechanics, and Python sessions for Mathematical Methods 2.
• 2018-2019: first year applied tutorials, problem class for Newtonian Mechanics, and Python sessions for Mathematical Methods 2.
• 2017-2018: first year tutorials, problem classes for MATH6501 and MATH1302, and Python sessions for MATH1402.
• 2016-2017: first year tutorials, and Python sessions for MATH1402 (Mathematical Methods 2).