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HOC-Krylov 1.0: A package of Krylov subspace solvers based on high-order compact schemes for efficient solution of Poisson’s equation

Iman Farahbakhsh & Benyamin Barani Nia

Software Impacts2026https://doi.org/10.1016/j.simpa.2026.100820article
AJG 1
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What the paper says

The HOC-Krylov Solver is a Fortran-based computational tool designed to efficiently solve Poisson’s equation using high-order compact (HOC) finite difference schemes integrated with Krylov subspace iterative methods. This combination enhances both the accuracy and convergence speed of solutions in two-dimensional domains. The solver is particularly suited for applications in computational fluid dynamics and electrostatics, where precise and rapid solutions are essential. • Integrates high-order compact finite difference schemes with multiple Krylov solvers to deliver highly accurate and efficient solutions of large Poisson systems. • Supports flexible sparse matrix storage (CSR, MSR, ELLPACK-ITPACK, DIA) with optimized MVM routines, enabling systematic performance evaluation across solver–storage– preconditioner combinations. • Modular Fortran architecture enables easy extension, facilitating research in CFD, electrostatics, and vorticity–streamfunction formulations while providing benchmarking and post-processing capabilities.

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https://doi.org/https://doi.org/10.1016/j.simpa.2026.100820

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@article{iman2026,
  title        = {{HOC-Krylov 1.0: A package of Krylov subspace solvers based on high-order compact schemes for efficient solution of Poisson’s equation}},
  author       = {Iman Farahbakhsh & Benyamin Barani Nia},
  journal      = {Software Impacts},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1016/j.simpa.2026.100820},
}

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F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
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R · text relevance †0.50 × 0.4 = 0.20

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