Disputation: Jørgen S. Dokken
Doctoral candidate Jørgen S. Dokken at the Department of informatics, Faculty of Mathematics and Natural Sciences, is defending the thesis Shape Optimization for Finite Element Methods for the degree of Philosophiae Doctor.
The PhD defence and trial lecture are fully digital and streamed using Zoom. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.
Ex auditorio questions: the chair of the defence will invite the audience to ask ex auditorio questions either written or oral. This can be requested by clicking 'Participants -> Raise hand'.
June 22, 10.00 AM, Zoom
"High-performance computing and finite element methods"
Main research findings
In manufacturing a common objective is to find the optimal shape of the manufactured product. For instance, in aircraft manufacturing it is desired to minimize the air resistance around an airplane.
To find the optimal shape, a combination of computer simulations and experiments are required.
The computer simulations consists of two main steps. The first step is to create a discrete approximation of the object. This can be a time consuming and complex task, requiring manual work.
In this thesis I present and analyze an alternative finite element discretization scheme aiming to simplify this procedure. The key idea of this discretization scheme is to split the discretization into multiple overlapping geometries, which are then coupled in the physical description of the problem.
The second step is to approximate the physical quantities of interest and decide how to change the object to obtain the desired design. This step is particularly difficult in the setting of time dependent problems. To this end, I present an automated framework for computation of shape sensitivities in the finite element framework FEniCS. The framework is capable of computing discretely consistent shape sensitivities for non-linear time dependent partial differential equations.
Contact information to Department: Pernille Adine Nordby