Martin Werner Licht
[I have completed my PhD at the University of Oslo.
I am now a Visiting Assistant Professor at the University of California, San Diego.
Please visit my personal website here.]
I am broadly interested in
Analysis and Computational Mathematics.
I focus on compatible and structure-preserving numerical methods for partial differential equations, and work on a dissertation on finite element differential forms. Those methods contribute to a more solid theoretical understanding of numerical methods, which I consider as the key element for future progress in computational PDE. I am convinced that this interplay of numerical, functional and global analysis is promotive for each of these fields.
Discrete harmonic vector fields on a torus, computed with a lowest-order Nedéléc method. Once with tangential boundary condition (left), then with normal boundary conditions (right).
Publications, Preprints, & other work:
Smoothed Projections and Mixed Boundary Conditions. To Appear in Math. Comp.[Arxiv link]
Smoothed Projections over Weakly Lipschitz Domains. To Appear in Math. Comp.[Arxiv link]
Poincaré-Friedrichs inequalities for Complexes of Distributional Differential Forms. with Snorre Christiansen. Submitted
Smoothed Analysis of the Simplex Method. Diplom thesis in computer science, Bonn, 2013. [pdf]
Diskrete distributionelle Differentialformen und ihre Anwendungen. Diplom thesis in mathematics, Bonn, 2012.
Domain Distribution for parallel Modeling of Root Water Uptake. Proceedings 2010, JSC Guest Student Programme on Scientific Computing, 2010. link to proceedings
I will be glad to provide copies of submitted preprints on request.
Department of Mathematics
University of Oslo
P.O. Box 1053 Blindern
NO-0316 Oslo, Norway
mart[REMOVETHIS]inwl :at: math.uio.no
Last update: Nov 9th, 2016 My website