David Knezevic

I am a D.Phil student in Numerical Analysis at the Oxford University Computing Lab, and my research area is the theory and implementation of computational methods for the solution of partial differential equations (PDEs). More specifically, my current area of interest is the simulation of polymeric fluids. My supervisor is Professor Endre Suli. I can be contacted at david.knezevic@balliol.ox.ac.uk.

About me...

Here is a picture of me and my fiancée (taken on Mt Snowdon in Wales). I am originally from Perth, Western Australia. In my undergradute degree I focused on electrical/electronic engineering, computer science and mathematics, and I graduated from the University of Western Australia in November 2004 with first class honours in the double degree of Electrical Engineering and Computer and Mathematical Sciences (BCM/BE). My undergraduate honours thesis, titled "Blind source separation for signal processing applications" is here.

I have also spent a year at the University of Texas at Austin and worked in the CFDLab, a computing laboratory directed by Professor Graham Carey which focuses on applications of finite element modeling. One project I was involved in heavily during my time in Texas, and which I have an ongoing interest in, is LibMesh, an open source C++ finite element library developed at the CFDLab.

I started my D.Phil. at Oxford University in October 2005, and I am a member of Balliol College.

Publications and Technical Reports

Knezevic, D. J. and Süli, E., Oxford University Computing Laboratory, "Spectral Galerkin approximation of Fokker-Planck equations with unbounded drift", submitted to M2AN, January 2008 (see Numerical Analysis Group technical report 07/16).
Carey, G. F. and Knezevic, D. J., "Non-uniqueness and Hysteresis Effects for Superconducting Vortex Patterns computed with local Adaptive Mesh Refinement", submitted to NMPDE, January 2008.
Peterson, J. W., Carey, G. F., Knezevic, D. J., Murray, B. T. Adaptive finite element methodology for tumour angiogenesis modelling. Internat. J. Numer. Methods Engrg. 69 (2007), no. 6, 1212--1238.
Knezevic, D. J. and Süli, E., "Finite element methods for deterministic simultion of polymeric fluids". Hungarian Journal of Applied Mathematics (Alkalmazott Matematikai Lapok), (Accepted for publication).
Oxford University Computing Laboratory, Numerical Analysis Group report 06/19: Finite element methods for deterministic simulation of polymeric fluids, David J. Knezevic.