Organisers: Ferran Brosa Planella and Thomasina Ball
The Applied Maths Seminars are held on Fridays 12:00-13.00. This year the seminar will be hybrid (at least for Term 1): you can choose to attend in person in room B3.02 or on MS Teams. The team for the seminar is the same as last year, but if you are not a member, you can send a membership request via MS Teams or email the organisers.
Seminar Etiquette: Here is a set of basic rules for the seminar.
- Please keep your microphone muted throughout the talk. If you want to ask a question, please raise your hand and the seminar organiser will (a) ask you to unmute if you are attending remotely or (b) get the speaker's attention and invite you to ask your question if you are in the room.
- If you are in the room with us, the room microphones capture anything you say very easily, and this is worth keeping in mind ☺️.
- You can choose to keep your camera on or not. Colleagues in the room will be able to see the online audience.
- Please let us know if you would like to meet and/or have lunch with any of the speakers who are coming to visit us so that I can make sure you have a place in the room.
|1||07 Oct||NO SEMINAR|
|2||14 Oct||Philip Herbert (Heriot-Watt)||F2F||
Shape optimisation with Lipschitz functions (abstract)
|3||21 Oct||Francis Aznaran (Oxford)||F2F|
|4||28 Oct||Maciej Buze (Birmingham)||F2F|
|6||11 Nov||Fabian Spill (Birmingham)||F2F|
|8||25 Nov||Eric Neiva (Collège de France & CNRS)||F2F||Unfitted finite element methods: decoupling the mesh from the geometry (abstract)
|9||02 Dec||Catherine Kamal (Cambridge)||F2F|
In this talk, we discuss a novel method in PDE constrained shape optimisation. We begin by introducing the concept of PDE constrained shape optimisation. While it is known that many shape optimisation problems have a solution, their approximation in a meaningful way is non-trival. To find a minimiser, it is typical to use first order methods. The novel method we propose is to deform the shape with fields which are a direction of steepest descent in the topology of . We present an analysis of this in a discrete setting along with the existence of directions of steepest descent. Several numerical experiments will be considered which compare a classical Hilbertian approach to this novel approach.
Week 3. Francis Aznaran (Oxford) - TBC
Week 4. Maciej Buze (Birmingham) - TBC
Week 5. TBC
Week 6. Fabian Spill (Birmingham) - TBC
Week 7. TBC
Week 8. Eric Neiva (Collége de France & CNRS) - Unfitted finite element methods: decoupling the mesh from the geometry
The finite element method (FEM) approximates a PDE from a variational formulation of the problem. Its standard formulation requires a mesh fitting to the boundary of the geometry of interest. Yet, for many problems of practical interest, the geometry is so intricate that mesh generation requires frequent and time-consuming manual intervention. Boundary-fitted meshing can be avoided with unfitted or immersed FEMs. The main idea is to embed the geometry in a simple mesh (e.g., a Cartesian grid) and define the discretisation in the cells intersecting the geometry. In this talk, we will describe a novel unfitted FEM that circumvents the classical issue of immersed FEM: ill-conditioning due small cell-to-geometry intersections We will discuss its application to early embryo development in animals.
Week 9. Katherine Kamal (Cambridge) - TBC
Week 10. TBC
Where possible, visitors should obtain an EDUROAM account from their own university to enable internet access whilst at Warwick.
You can register for any of the symposia or workshops online. To see which registrations are currently open and to submit a registration, please click here.
Mathematics Research Centre
University of Warwick
Coventry CV4 7AL - UK