Properties🔗

• symmetric and asymmetric matrices
• run-time selectable preconditioner
• good parallel scaling

Usage🔗

solver          PBiCGStab;
preconditioner  <conditioner>;
relTol          <relative tolerance>;
tolerance       <absolute tolerance>;

Details🔗

Operation🔗

Computation cost🔗

Start-up

• 1 matrix-vector multiply
• 1 parallel reduction

Per iteration

• 2 matrix-vector multiplies
• 6 parallel reductions
• and preconditioner - applied 2x

Further information🔗

Source code:

• $FOAM_SRC/OpenFOAM/matrices/lduMatrix/solvers/PBiCGStab

API:

• Foam::PBiCGStab

References:

• Van der Vorst [81]
• Barrett et al. [5]