Information and Assignments

This course on Cut Finite Element Methods (FSF3571 HT25, Selected Topics in Numerical Analysis II, 4.5 hp) is offered at the Institute Mittag-Leffler during the semester program on Interfaces and Unfitted Discretization Methods.
For more information, see:
🔗 https://www.mittag-leffler.se/activities/interfaces-and-unfitted-discretization-methods/

The course corresponds to 3 weeks of full-time studies.

Lecture Schedule

Lecture 1: Introduction and CutFEM for Basic Model Problems, Lecture1.pdf
🕐 Wednesday, November 5, 11:00–12:00
📍 Location: KuskVillan

Lecture 2: Analysis of CutFEM (Second-Order Symmetric Problems), Lecture2.pdf
🕐 Friday, November 7, 11:00–12:00
📍 Location: KuskVillan

Lecture 3: Integration on Cut Elements, Lecture3.pdf
🕐 Wednesday, November 12, 11:00–12:00
📍 Location: KuskVillan

Lecture 4: Weak and Strong Stabilization (Bulk Problems), Lecture4.pdf
🕐 Wednesday, November 19, 11:00–12:00
📍 Location: KuskVillan

Lecture 5: Weak Stabilization (Surface Problems), Lecture5.pdf
🕐 Wednesday, November 26, 11:00–12:00
📍 Location: KuskVillan

Lecture 6: Lagrange Multiplier Methods
🕐 Friday, November 28, 11:00–12:00
📍 Location: KuskVillan

Lecture 7: CutFEM in Time-Dependent Domains
🕐 Tuesday, December 2, 14:30–15:30
📍 Location: KuskVillan

All lectures can also be followed via Zoom:
🔗 https://kva-se.zoom.us/j/9217561890

You are welcome to come 30 minutes before each lecture to ask questions.

Course Literature and Resources

We will follow:

Burman, E., Hansbo, P., Larson, M. G., Zahedi, S. (2025).
Cut Finite Element Methods. Acta Numerica, 34, 1–121.

Read online: https://www.cambridge.org/core/journals/acta-numerica/article/cut-finite-element-methods/97D22C4D003C93666739D1BCF7AEBAF7

Grades and Requirements

To pass the course, participants must:

Attend all six lectures.
Attend at least one research talk on unfitted finite element methods during the semester program at the Institute Mittag-Leffler.
Note: Many of these talks are recorded and available on the program’s webpage, see
🔗 https://www.mittag-leffler.se/activities/interfaces-and-unfitted-discretization-methods/#recordings
Select, read, and present a research paper of their choice on CutFEM.

The date of the final lecture, where the presentations will take place, will be decided in consultation with the participants. One presentation session is scheduled for December 8th at 11:00, and there will be an additional session in January.

Communication and Groups

All announcements and updates will be posted on this course page.

Contact Information

Sara Zahedi, sara.zahedi@math.kth.se

For course registration, please contact Sofia Harrison Edgren at phdadm@math.kth.se