KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners

Contemporary applications in computational science and engineering often require the solution of linear systems which may be different sizes, shapes, structures. The goal this paper is to explain how two libraries, PETSc HPDDM, have been interfaced order offer end-users robust overlapping Schwarz preconditioners advanced Krylov methods featuring recycling ability deal with multiple right-hand sides. flexibility implementation showcased explained minimalist, easy-to-run, reproducible examples, ease integration these algorithms into more frameworks. examples provided cover from eigenanalysis, elasticity, combustion, electromagnetism.