256 citations · 550 across the 15 of their papers we have counts for
4 papers · 1 filter
High-level python abstractions for optimal checkpointing in inversion problems
Navjot Kukreja, Jan Hückelheim, Michael Lange +4
Inversion and PDE-constrained optimization problems often rely on solving the adjoint problem to calculate the gradient of the objec- tive function. This requires storing large amo…
A framework for automated PDE-constrained optimisation
S. W. Funke, P. E. Farrell
A generic framework for the solution of PDE-constrained optimisation problems based on the FEniCS system is presented. Its main features are an intuitive mathematical interface, a…
A framework for the automation of generalised stability theory
Patrick E. Farrell, Colin J. Cotter, Simon W. Funke
The traditional approach to investigating the stability of a physical system is to linearise the equations about a steady base solution, and to examine the eigenvalues of the linea…
Automated derivation of the adjoint of high-level transient finite element programs
Patrick E. Farrell, David A. Ham, Simon F. Funke +1
In this paper we demonstrate a new technique for deriving discrete adjoint and tangent linear models of finite element models. The technique is significantly more efficient and aut…