PhD Position in Structure-Preserving Finite Element Methods
Develop exact-solution numerical methods for time-dependent PDEs in fluids and electromagnetics with high-performance computing.
Best for:Best for applicants with a strong background in numerical analysis, PDEs, and computational mathematics who enjoy bridging theory and practical implementation in HPC environments.
Overview
This PhD position at Delft University of Technology (TU Delft) focuses on advancing structure-preserving finite element methods (FEM) for time-dependent partial differential equations (PDEs). The project aims to design solvers that preserve key physical properties—such as energy, mass, and momentum—exactly rather than approximating them. The work spans theoretical development, algorithmic implementation, and high-performance computing (HPC) optimization for large-scale systems. The successful candidate will collaborate within the internationally recognized Numerical Analysis group, contributing to both fundamental research and applied engineering challenges in fluid dynamics and electromagnetics. Teaching duties (≤15% effort) and conference presentations are integral to the role, conducted in English.
What you'll do
- Develop and analyze structure-preserving numerical methods for time-dependent PDEs, ensuring exact preservation of physical properties like energy, mass, and momentum.
- Implement algorithms in scientific programming languages (e.g., Python, C++, Julia) and test them in parallel computing environments.
- Collaborate with interdisciplinary teams to apply methods to real-world problems in fluid dynamics and electromagnetics.
- Present research findings at national and international conferences and seminars.
- Participate in teaching activities (≤15% effort), including supervising students and delivering lectures in English.
- Contribute to scientific publications and prepare a PhD thesis under supervision.
Requirements
Degree required: Master’s degree (MSc) in Applied Mathematics, Computational Science, Physics, Aerospace Engineering, or a closely related field.
Degree offered: PhD
Language: English proficiency at a level sufficient for academic research, teaching, and publication (details available via TU Delft Graduate School).
Instruction: English
- Solid theoretical foundation in numerical analysis, PDEs, and numerical linear algebra.
- Proficiency in at least one scientific programming language (e.g., Python, C++, Julia, MATLAB).
- Experience with parallel computing environments and HPC systems.
- Ability to balance theoretical research with practical algorithmic implementation.
- Strong communication skills for interdisciplinary collaboration and public presentation.
- No nationality restrictions, but TU Delft may require relocation support for international applicants.
- No age or prior experience caps beyond the MSc degree requirement.
Funding & terms
How to apply
Deadline: 2026-12-20
Submit a single PDF file via the TU Delft application portal containing a cover letter (max 1 page), CV, transcripts, and a copy of your MSc thesis (or writing sample). The cover letter should detail your motivation, relevant background, and specific examples of experience. Applications sent by email or post will not be considered.
- Cover letter (max 1 page)
- Comprehensive Curriculum Vitae
- Transcripts and Master’s degree/diploma
- Copy of Master’s thesis or comparable writing sample
Contact
Artur Palha· Supervisor
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