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
Email: m.p.j.jensen(at)durham.ac.uk
GnuPG:   public

Mathematical Interests

My main interests are fully nonlinear equations, discontinuous Galerkin finite element methods, hyperbolic systems, porous media flow, FEM stabilisation, a posteriori error control, hp-adaptivity.

Teaching

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

PhD Students

John Chapman
Tore Bjoernaraa

Current and Recent Activities

NA Summer School 2010

Publications, Proceedings, Thesis, Edited Books

[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, SINUM, 2009, 47(5):3720-3743.
[9]   
M. Jensen, R. Müller: Stable Crank-Nicolson Discretisation for Incompressible Miscible Displacement Problems of Low Regularity, Enumath 2009 proceeding, also arXiv preprint 0910.1516.
[10]   
A. Cangiani, E. H. Georgoulis and M. Jensen: Discontinuous Galerkin methods for convection-diffusion problems modelling mass transfer through semipermeable membranes, Proceedings of the Congress on Numerical Methods in Engineering, Coimbra, 2011.
[11]   
M. Jensen, I. Smears: On the Convergence of Finite Element Methods for Hamilton-Jacobi-Bellman Equations, submitted journal article, also arXiv preprint 1111.5423.
[12]   
A. Cangiani, J. Chapman, E. Georgoulis, M. Jensen: Implementation of the Continuous-Discontinuous Galerkin Finite Element Method, Enumath 2011 proceeding, also arXiv preprint 1201.2878.
[13]   
J. Chapman, M. Jensen: Towards A Posteriori Error Estimators for Realistic Problems in Incompressible Miscible Displacement, Enumath 2011 proceeding.
[14]   
M. Jensen, I. Smears: Finite Element Methods with Artificial Diffusion for Hamilton-Jacobi-Bellman Equations, Enumath 2011 proceeding, also arXiv preprint 1201.3581.
[15]   
J. Blowey, M. Jensen (Editors): Frontiers in Numerical Analysis - Durham 2010, LNCS 85, Springer, see also Google Book Search.
[16]   
M. Jensen, Axel Målqvist: Finite Element Convergence for the Joule Heating Problem with Mixed Boundary Conditions, submitted journal article, also arXiv preprint 1203.6306.

People

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