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Dr. Max Jensen
Lecturer in Computational Mathematics
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
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