Dr. Max Jensen

Lecturer in Computational Mathematics

Photo

Contact

Department of Mathematical Sciences
University of Durham
Science Laboratories
South Road
Durham DH1 3LE
UNITED KINGDOM

Phone: +44 (0)191 33 43124
Fax: +44 (0)191 33 43051
Email: m.p.j.jensen(at)durham.ac.uk

Mathematical Interests

My main interests are discontinuous Galerkin finite element methods, Friedrichs systems, miscible displacement, FEM stabilisation and graph spaces, a posteriori error control, hp-adaptivity.

Teaching

Numerical Analysis 2
Mathematical Finance 3/4
Approximation Theory 3/4

PhD Students

John Chapman

Publications, Proceedings, Thesis

[1]   
P. Houston, M. Jensen and E. Süli: hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization. Journal of Scientific Computing, 2001, 17 (1-4):3-25.
[2]   
M. Jensen: Discontinuous Galerkin Methods for Friedrichs Systems with Irregular Solutions. D.Phil Thesis, University of Oxford, 2005. Download.
[3]   
C. Carstensen, M. Jensen: Averaging Techniques for Reliable and Efficient A Posteriori Finite Element Error Control: Analysis and Applications. Contemporary Mathematics, 2006, 383:15-34.
[4]   
M. Jensen: On the Discontinuous Galerkin Method for Friedrichs Systems in Graph Spaces. Lecture Notes in Computer Science, 2006, 3743:94-101.
[5]   
M. Jensen: Remarks on Duality in Graph Spaces of First-Order Linear Operators, PAMM, 2006, 6(1):31--34.
[6]   
A. Cangiani, E. Georgoulis, M. Jensen: Continuous and Discontinuous Finite Element Methods for Convection-Diffusion Problems: A Comparison, BAIL 2006 proceeding.
[7]   
C. Carstensen, T. Gudi, M. Jensen: A Unifying Theory of A Posteriori Control for Discontinuous Galerkin FEM, Numerische Mathematik, 2009, 112(3):363-379.
[8]   
S Bartels, M. Jensen, R. Müller: Discontinuous Galerkin Finite Element Convergence for Incompressible Miscible Displacement Problems of Low Regularity, accepted SINUM, preprint.
[9]   
M. Jensen, R. Müller: Stable Crank-Nicolson Discretisation for Incompressible Miscible Displacement Problems of Low Regularity, Enumath 2009.

Short CV

1997-1999   Prediploma, U Hamburg
1999-2000   Erasmus exchange, U Oxford
2000-2005   DPhil, U Oxford (with E. Süli)
2004-2006   Research assistant, HU Berlin (with C. Carstensen)
2006-   Lecturer in Computational Mathematics, U Durham

People

Sören Bartels, Andrea Cangiani, Carsten Carstensen, Emmanuil Georgoulis, Paul Houston, Endre Süli