Hybrid Absorbing Boundary Condition with Submeshes
An annotated notebook describing the HABC formulation and its Firedrake submesh implementation.
Open notebookComputational Mathematics & Scientific Computing Researcher
Specialising in numerical methods, adjoint-based optimisation, and scientific computing to solve inverse problems and high-fidelity simulations across geophysics and fluid dynamics.
- Adjoint optimisation
- Finite element modelling
- Wave propagation
- Open-source software
About Me
I am a fellow postdoctoral researcher at University of São Paulo. I hold a PhD in Science from the University of São Paulo, Brazil.
My work involves developing and applying differentiation algorithms with Pyadjoint and Firedrake across the field of continuum mechanics to simulate a wide range of physical phenomena. My expertise lies in computational mathematics applied to computational fluid dynamics, inverse problems, and optimisation.
I am proficient in Python programming and have contributed to several open-source software projects including PETSc4py, Firedrake, FEniCS Project, and Pyadjoint. My research focuses on developing numerical methods for wave propagation, full waveform inversion, and fluid dynamics problems, leveraging high-order finite element methods and automatic differentiation for gradient-based optimisation.
Let’s connect
- Email: daia.dolci@gmail.com
- Imperial: profiles.imperial.ac.uk/d.dolci
- LinkedIn: linkedin.com/in/id-dolci
- GitHub: github.com/ig-dolci
Current focus
- Automatic differentiation
- Geophysics
- High-order numerics
“Nothing in life is to be feared, it is only to be understood.”
— Marie Skłodowska CurieResearch Interests
Full Waveform Inversion
Developing efficient algorithms for seismic imaging and parameter estimation
Adjoint Methods
Implementing gradient-based optimisation using automatic differentiation
Finite Element Analysis
High-order methods for acoustic and elastic wave propagation
Computational Fluid Dynamics
Navier-Stokes simulations and flow optimisation
Teaching
Publications
Journal Papers
An adjoint-based methodology for sensitivity analysis of time-periodic flows with reduced time integration
International Journal for Numerical Methods in Engineering, 2025
Read Morecheckpoint_schedules: schedules for incremental checkpointing of adjoint simulations
The Journal of Open Source Software, 2024
Read MoreEffectiveness and computational efficiency of absorbing boundary conditions for full-waveform inversion
Geoscientific Model Development Discussions, 2022
Read MoreSensitivity of the least stable modes to passive control for a flow around an elastically mounted circular cylinder
Physical Review Fluids, 2022
Read MoreAdjoint sensitivity analysis of steady laminar flows with respect to nongeometrical parameters
International Journal for Numerical Methods in Engineering, 2021
Read MoreBifurcation analysis of the primary instability in the flow around a flexibly mounted circular cylinder
Journal of Fluid Mechanics, 2019
Read MoreConference Papers
FWI Performance Improvement with the Use of Wavelet Transforms
Digital Subsurface Conference in Latin America, 2021
Read MoreAn Approach for Optimizing the Performance of an FWI Application on HPC Clusters
Digital Subsurface Conference in Latin America, 2021
Read MoreNumerical predictions of viscoelastic flows with an algebraic extra-stress model
WCCM-ECCM-ECFD 2014
Read MoreProjects
🚧 Under Construction 🚧
This section is currently being developed. Check back soon!
Notebooks
Interactive Jupyter notebooks demonstrating computational methods and numerical techniques.
Full-Waveform Inversion Tutorial
A Firedrake tutorial covering full-waveform inversion, gradient computation, and parallel simulation workflows.
Open tutorial