Preconditioned bi-conjugate gradient (PBiCGStab)

Table of Contents

• Properties
• Usage
• Details
  • Operation
  • Computation cost
• Further information

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
• + preconditioner - applied 2x

Further information

Source code:

• Foam::PBiCGStab

References:

• Van der Vorst [88]
• Barrett et al. [4]

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