SBP-SAT

Matrix-free Methods for Summation-by-Parts Finite Difference Operators on GPUs

We present a custom geometric multigrid preconditioned conjugate gradient method that applies summation-by-parts(SBP)-preserving interpolations and a custom matrix-free GPU kernel that achieves up to 5x speedup compared to solvers from PETSc and AmgX

Matrix-free SBP-SAT finite difference methods and the multigrid preconditioner on GPUs