2 papers
math.OC2018
A scalable matrix-free spectral element approach for unsteady PDE constrained optimization using PETSc/TAO
Oana Marin, Emil Constantinescu, Barry Smith
We provide a new approach for the efficient matrix-free application of the transpose of the Jacobian for the spectral element method for the adjoint based solution of partial diffe…
cs.MS2016
Extreme-scale Multigrid Components within PETSc
Dave A. May, Patrick Sanan, Karl Rupp +2
Elliptic partial differential equations (PDEs) frequently arise in continuum descriptions of physical processes relevant to science and engineering. Multilevel preconditioners repr…