Automated Adjoints of Coupled PDE-ODE Systems

  title={Automated Adjoints of Coupled PDE-ODE Systems},
  author={P. Farrell and Johan E. Hake and S. Funke and M. Rognes},
  journal={SIAM J. Sci. Comput.},
  • P. Farrell, Johan E. Hake, +1 author M. Rognes
  • Published 2019
  • Mathematics, Computer Science
  • SIAM J. Sci. Comput.
  • Mathematical models that couple partial differential equations (PDEs) and spatially distributed ordinary differential equations (ODEs) arise in biology, medicine, chemistry and many other fields. In this paper we discuss an extension to the FEniCS finite element software for expressing and efficiently solving such coupled systems. Given an ODE described using an augmentation of the Unified Form Language (UFL) and a discretisation described by an arbitrary Butcher tableau, efficient code is… CONTINUE READING
    Automated Adjoints of Coupled PDE-ODE Systems


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