André Massing successfully defended his PhD

In this work, we look at a mathematical method known as Nitsche's method which allows to couple different equations and domains in a flexible way. We investigate how this method can be applied efficiently to challenging 3D problems. Moreover, we strive to extend Nitsche's method to fluid dynamic problems.

Using data structure and algorithms from the field of computational geometry, we were able to implement a flexible and efficient  computational framework to solve various problems by the Nitsche method.  As an important part of this thesis, we proposed several new Nitsche-based formulation of a fluid dynamic problem (Stokes problem) and proved optimal convergence properties.

The thesis is written within the field of computational mathematics. The work has been conducted at Simula Research Laboratory.

Prior to the defense, André Massing presented his trial lecture Discontinuous Galerkin Methods for Solving Elliptic PDEs.

The adjudication committee

• Professor Paul Houston, School of Mathematical Sciences, University of Nottingham
• Professor Mohammad Asadzadeh, Department of Mathematical Sciences, Chalmers University of Technology
• Professor Xing Cai, Simula Research Laboratory / Department of Informatics, University of Oslo

Chair of the disputation

• Professor Fritz Albregsten, Departments of Informatics, University of  Oslo

Supervisors

• Dr. Anders Logg, Simula Research Laboratory / Department of Informatics, University of Oslo
• Professor Mats G. Larson, Department of Mathematics and Statistics, University of Umeå
• Dr. Marie E. Rognes, Simula Research Laboratory / Department of Informatics, University of Oslo

Read more:
Announcement of the PhD defense at the University of Oslo's web pages (in Norwegian).