PCBJACOBI#

Use block Jacobi preconditioning, each block is (approximately) solved with its own KSP object.

Options Database Keys#

-pc_use_amat - use Amat to apply block of operator in inner Krylov method
-pc_bjacobi_blocks - use n total blocks

Notes#

See PCJACOBI for diagonal Jacobi, PCVPBJACOBI for variable point block, and PCPBJACOBI for fixed size point block

Each processor can have one or more blocks, or a single block can be shared by several processes. Defaults to one block per processor.

To set options on the solvers for each block append -sub_ to all the KSP and PC options database keys. For example, -sub_pc_type ilu -sub_pc_factor_levels 1 -sub_ksp_type preonly

To set the options on the solvers separate for each block call PCBJacobiGetSubKSP() and set the options directly on the resulting KSP object (you can access its PC KSPGetPC())

For GPU-based vectors (VECCUDA, VECViennaCL) it is recommended to use exactly one block per MPI process for best performance. Different block partitioning may lead to additional data transfers between host and GPU that lead to degraded performance.

When multiple processes share a single block, each block encompasses exactly all the unknowns owned its set of processes.