Short CV

• 2025– now Stipendiary Lecturer @ Oriel College, Oxford
• 2022– now DPhil student @ University Of Oxford
• 2020–2022 MSc Applied Mathematics @ KAUST
• 2016–2020 BSc Mathematics @ University Of Pavia

I’m a member of the European Mathematical Society (EMS) and of the Society of Industrial and Applied Mathematics (SIAM).

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Publications

1. A nodal ghost method based on variational formulation and regular square grid for elliptic problems on arbitrary domains in two space dimensions
   Clarissa Astuto, Daniele Boffi, Giovanni Russo, UZ [CMAME, arXiv], 2025.
2. Time-harmonic waves in Korteweg and nematic-Korteweg fluids Patrick E Farrell, UZ [PRE, arXiv], 2025.
3. ngsPETSc: A coupling between NETGEN/NGSolve and PETSc
   Jack Betteridge, Patrick E. Farrell, Matthias Hochsteger, Christopher Lackner, Joachim Schöberl, Stefano Zampini, UZ [JOSS, GitHub], 2024.

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Proceedings

1. The Lightning Virtual Element Method for Self-adjoint Eigenvalue Problems
   Manuel Trezzi, UZ GIMC SIMAI Young 2024, 2025
2. The High-Order Lightning Virtual Element Method
   Manuel Trezzi, UZ GIMC SIMAI Young 2024, 2025

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Preprints

1. Analysis and numerical analysis of the Helmholtz-Korteweg equation Patrick E. Farrell, Tim van Beeck, UZ arXiv, 2025.

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Talks

I have adopted the ISO 3166-1 alpha-2 convention for country designation.

2025

• Mathematical Methods for Wave Problems, University of Leicester 10/06 Leicester, UK slides.
• Bath Royal Literary and Scientific Institution, Internal Seminar 06/06 Bath, UK slides.
• European Finite Element Fair 24/05 Trieste, IT slides.

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Teaching

I have been involved in teaching the following courses and minicourses:

• Spectral Theory and Spectral Practice, Edinburgh, UK, 2025 more info.