Article

Jensen, Max, Majee, Ananta K, Prohl, Andreas and Schellnegger, Christian (2019) Dynamic programming for finite ensembles of nanomagnetic particles. Journal of Scientific Computing. ISSN 0885-7474

Jensen, Max (2017) L²(H¹γ) finite element convergence for degenerate isotropic Hamilton–Jacobi–Bellman equations. IMA Journal of Numerical Analysis, 37 (3). pp. 1300-1316. ISSN 0272-4979

Feng, Xiaobing and Jensen, Max (2017) Convergent semi-Lagrangian methods for the Monge-Ampère equation on unstructured grids. SIAM Journal on Numerical Analysis, 55 (2). pp. 691-712. ISSN 0036-1429

Cangiani, Andrea, Georgoulis, Emmanuil H and Jensen, Max (2016) Discontinuous Galerkin methods for fast reactive mass transfer through semi-permeable membranes. Applied Numerical Mathematics, 104. pp. 3-14. ISSN 0168-9274

Cangiani, Andrea, Chapman, John, Georgoulis, Emmanuil and Jensen, Max (2014) On local super-penalization of interior penalty discontinuous Galerkin methods. International Journal of Numerical Analysis & Modeling, 11 (3). pp. 478-495. ISSN 1705-5105

Cangiani, Andrea, Chapman, John, Georgoulis, Emmanuil and Jensen, Max (2013) On the stability of continuous–discontinuous Galerkin methods for advection–diffusion–reaction problems. Journal of Scientific Computing, 57 (2). pp. 313-330. ISSN 0885-7474

Cangiani, Andrea, Georgoulis, Emmanuil H and Jensen, Max (2013) Discontinuous Galerkin methods for mass transfer through semipermeable membranes. SIAM Journal on Numerical Analysis, 51 (5). pp. 2911-2934. ISSN 1095-7170

Jensen, Max and Målqvist, Axel (2013) Finite element convergence for the Joule heating problem with mixed boundary conditions. BIT Numerical Mathematics, 53 (2). pp. 475-496. ISSN 0006-3835

Jensen, Max and Smears, Iain (2013) On the convergence of finite element methods for Hamilton-Jacobi-Bellman equations. SIAM Journal on Numerical Analysis (SINUM), 51 (1). pp. 137-162. ISSN 0036-1429

Bartels, Sören, Jensen, Max and Müller, Rüdiger (2009) Discontinuous Galerkin finite element convergence for incompressible miscible displacement problems of low regularity. SIAM Journal on Numerical Analysis (SINUM), 47 (5). pp. 3720-3743. ISSN 0036-1429

Carstensen, Carsten, Gudi, Thirupathi and Jensen, Max (2009) A unifying theory of a posteriori error control for discontinuous Galerkin FEM. Numerische Mathematik, 112 (3). pp. 363-379. ISSN 0029-599X

Jensen, Max (2006) Remarks on duality in graph spaces of first-order linear operators. PAMM - Proceedings in Applied Mathematics and Mechanics, 6 (1). pp. 31-34. ISSN 1617-7061

Houston, Paul, Jensen, Max and Süli, Endre (2002) hp-Discontinuous Galerkin finite element methods with least-squares stabilization. Journal of Scientific Computing, 17 (1-4). pp. 3-25. ISSN 0885-7474

Book Section

Jensen, Max (2018) Numerical solution of the simple Monge–Ampère equation with nonconvex dirichlet data on non-convex domains. In: Dante, Kalise, Kunisch, Karl and Zhiping, Rao (eds.) Hamilton-Jacobi-Bellman Equations: Numerical Methods and Applications in Optimal Control. Radon Series on Computational and Applied Mathematics . De Gruyter, Berlin,, pp. 129-142. ISBN 9783110543599 (Accepted)

Jensen, Max and Smears, Iain (2018) On the notion of boundary conditions in comparison principles for viscosity solutions. In: Kalise, Dante, Kunisch, Karl and Rao, Zhiping (eds.) Hamilton-Jacobi-Bellman Equations: Numerical Methods and Applications in Optimal Control. Radon Series on Computational and Applied Mathematics . De Gruyter, Berlin, pp. 143-154. ISBN 9783110543599 (Accepted)

Jensen, Max and Smears, Iain (2013) Finite element methods with artificial diffusion for Hamilton-Jacobi-Bellman equations. In: Cangiani, Andrea, Davidchack, Ruslan L, Georgoulis, Emmanuli, Gorban, Alexander N, Levesley, Jeremy and Tretyakpv, Michael V (eds.) Numerical mathematics and advanced applications 2011: proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011. Springer-Verlag, Berlin, pp. 267-274. ISBN 9783642331336

Cangiani, Andrea, Chapman, John, Georgoulis, Emmanuil and Jensen, Max (2013) Implementation of the continuous-discontinuous Galerkin finite element method. In: Cangiani, Andrea, Davidchack, Ruslan, Georgoulis, Emmanuil, Gorban, Alexander, Levesley, Jeremy and Tretyakov, Michael (eds.) Numerical mathematics and advanced applications 2011: proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011. Springer, Berlin, pp. 315-322. ISBN 9783642331336

Chapman, John and Jensen, Max (2013) Towards a posteriori error estimators for realistic problems in incompressible miscible displacement. In: Cangiani, Andrea, Davidchack, Ruslan L, Georgoulis, Emmanuli, Gorban, Alexander N, Levesley, Jeremy and Tretyakov, Michael V (eds.) Numerical mathematics and advanced applications 2011: proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011. Springer, Berlin, pp. 323-331. ISBN 9783642331336

Jensen, Max and Müller, Rüdiger (2010) Stable Crank–Nicolson discretisation for incompressible miscible displacement problems of low regularity. In: Kreiss, Gunilla, Lötstedt, Per, Målqvist, Axel and Neytcheva, Maya (eds.) Numerical mathematics and advanced applications 2009: proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009. Springer, Heidelberg, pp. 469-477. ISBN 9783642117947

Carstensen, Carsten and Jensen, Max (2006) Averaging techniques for reliable and efficient a posteriori finite element error control: analysis and applications. In: Shi, Z-C, Chen, Z and Tang, T (eds.) Recent advances in adaptive computation:proceedings of the international conference on recent advances in adaptive computation, May 24-28, 2004, Zhejiang University, Hangzhou, China. Contemporary mathematics (383). American Mathematical Society, Providence, RI, pp. 15-34. ISBN 9780821836620

Jensen, Max (2006) On the discontinuous Galerkin method for Friedrichs systems in graph spaces. In: Lirkov, Ivan, Margenov, Svetozar and Wasniewski, Jerzy (eds.) Large-scale scientific computing: 5th international conference, LSSC 2005, Sozopol, Bulgaria, June 6-10, 2005 : revised papers. Lecture notes in computer science (3743). Springer, Berlin, pp. 94-101. ISBN 9783540319948

Conference or Workshop Item

Cangiani, Andrea, Georgoulis, Emmanuil and Jensen, Max (2011) Discontinuous Galerkin methods for convection-diffusion problems modelling mass-transfer through semipermeable membranes. In: Congresso de Metodos Numericos em Engenharia 2011, 14-17 June 2011, Coimbra, Portugal.

Cangiani, Andrea, Georgoulis, Emmanuil and Jensen, Max (2006) Continuous and discontinuous finite element methods for convection-diffusion problems. In: BAIL: International Conference on Boundary and Interior Layers, 24th - 28th July, 2006, Göttingen.

Edited Book

Blowey, James and Jensen, Max (2012) Frontiers in numerical analysis - Durham 2010. Lecture notes in computational science and engineering, 85 . Springer-Verlag, Heidelberg. ISBN 9783642239137

Thesis

Jensen, Max (2005) Discontinuous Galerkin methods for Friedrichs systems with irregular solutions. Doctoral thesis (DPhil), University of Oxford.