Imperial College London

Dr Lawrence Mitchell

Faculty of EngineeringDepartment of Computing

Honorary Research Fellow



+44 (0)20 7594 8399lawrence.mitchell Website




William Penney LaboratorySouth Kensington Campus





I am an Assistant Professor at Durham University in the Department of Computer Science. I was previously a PDRA at Imperial working with David Ham and Paul KellyMy research is in high performance computing and computational mathematics. Much of my recent focus has been in the development of compilers and software abstractions for the development of numerical models implemented using the finite element method. This research is concretely realised in the open source Firedrake project. I am particularly interested in preconditioning techniques for challenging problems in computational and atmospheric fluid dynamics.




Kärnä T, Kramer SC, Mitchell L, et al., 2018, Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations, Geoscientific Model Development, Vol:11, ISSN:1991-959X, Pages:4359-4382

Homolya M, Mitchell L, Luporini F, et al., TSFC: a structure-preserving form compiler, Siam Journal on Scientific Computing, ISSN:1064-8275

Kirby RC, Mitchell L, 2018, Solver composition across the PDE/linear algebra barrier, Siam Journal on Scientific Computing, Vol:40, Pages:C76-C98

Yamazaki H, Shipton J, Cullen MJP, et al., 2017, Vertical slice modelling of nonlinear Eady waves using a compatible finite element method, Journal of Computational Physics, Vol:343, ISSN:1090-2716, Pages:130-149

Mitchell L, Ham DA, McRae ATT, et al., 2017, Firedrake: automating the finite element method by composing abstractions, Acm Transactions on Mathematical Software, Vol:43, ISSN:1557-7295

More Publications