hillyuan / monolis

Monolithc non-overlapping / overlapping domain decomposition based linear equation solver

Monolis

• Monolithic domain decomposition based linear solver
• version 0.0.0

Manual

https://morita.gitlab.io/monolis/

Direct solver

• LU factorization (LU)

Iterative solver

• Conjugate Gradient Method (CG)
• Biconjugate Gradient Stabilized Method (BiCGSTAB)
• Biconjugate Gradient Stabilized Method without preconditioning (BiCGSTAB-noprec)
• Grop's Conjugate Gradient Method (GropCG)
• Pipelined Conjugate Gradient Method (PipeCG)
• Pipelined Conjugate Residual Method (PipeCR)
• Pipelined Biconjugate Gradient Stabilized Method (PipeBiCGSTAB)
• Pipelined Biconjugate Gradient Stabilized Method without preconditioning (PipeBiCGSTAB-noprec)
• Communication-avoiding Biconjugate Gradient Stabilized Method without preconditioning (CABiCGSTAB-noprec)
• Successive Over Relaxation (SOR)
• Iterative Refinement (IR)

Preconditioning

• Diagonal scaling
• Incomplete LU
• Jacobi
• Successive Over Relaxation

Matrix storage format

• CSR format
  • n*n blocking

Interface

• Original

Miscellanies

• MPI parallelization
• OpenMP parallelization
• Reordering with METIS version 5

Compile flags

./install_lib.sh
make FLAGS=MPI,OPENMP,METIS,MUMPS

• MPI: Enable MPI parallelization
• OPENMP: Enable OpenMP parallelization
• METIS: Enable METIS
• MUMPS: Enable MUMPS
• DEBUG: Enable DEBUG

License

• MIT

Acknowledgements

• I am grateful to Mr. Yu IHARA for great assistance with the implementation of the fill-in determinaion in direct method.
• I would like to thank FrontISTR commons and FrontISTR for useful supports.