The implementation is based on the Adaptive-Multilevel BDDC method, while reflecting some recent advancements in the field. Codes are written in Fortran 95 with MPI library. A library is provided, which is supposed to be called from users’ applications. The library provides a simple interface callable from Fortran and C. Some remarkable features of the solver include implementation of the adaptively generated weighted averages on faces on each level, robust face-based selection of corners, arbitrary number of levels of the multilevel method, or continuity of arithmetic averages among subdomains on all faces and edges.

References in zbMATH (referenced in 18 articles , 2 standard articles )

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  1. Badia, Santiago; Martín, Alberto F.; Principe, Javier: Multilevel balancing domain decomposition at extreme scales (2016)
  2. Hapla, Vaclav; Horak, David; Pospisil, Lukas; Cermak, Martin; Vasatova, Alena; Sojka, Radim: Solving contact mechanics problems with PERMON (2016)
  3. Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver: Adaptive coarse spaces for FETI-DP in three dimensions (2016)
  4. Spillane, Nicole: An adaptive multipreconditioned conjugate gradient algorithm (2016)
  5. Subber, Waad; Matouš, Karel: Asynchronous space-time algorithm based on a domain decomposition method for structural dynamics problems on non-matching meshes (2016)
  6. Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef: An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices (2016)
  7. Zampini, Stefano: PCBDDC: a class of robust dual-primal methods in PETSc (2016)
  8. Heinlein, A.; Hetmaniuk, U.; Klawonn, A.; Rheinbach, O.: The approximate component mode synthesis special finite element method in two dimensions: parallel implementation and numerical results (2015)
  9. Šístek, Jakub; Březina, Jan; Sousedík, Bedřich: BDDC for mixed-hybrid formulation of flow in porous media with combined mesh dimensions. (2015)
  10. Witkowski, T.; Ling, S.; Praetorius, S.; Voigt, A.: Software concepts and numerical algorithms for a scalable adaptive parallel finite element method (2015)
  11. Badia, Santiago; Martín, Alberto F.; Principe, Javier: Implementation and scalability analysis of balancing domain decomposition methods (2013)
  12. de Araújo, F.C.; D’Azevedo, E.F.; Gray, L.J.; Degenhardt, R.: A SBS-BD based solver for domain decomposition in BE methods (2013)
  13. Šístek, J.; Mandel, J.; Sousedík, B.; Burda, P.: Parallel implementation of multilevel BDDC (2013)
  14. Sousedík, Bedřich: Nested BDDC for a saddle-point problem (2013)
  15. Sousedík, Bedřich; Šístek, Jakub; Mandel, Jan: Adaptive-multilevel BDDC and its parallel implementation (2013)
  16. Kim, Hyea Hyun; Lee, Chang-Ock: A two-level nonoverlapping Schwarz algorithm for the Stokes problem: numerical study (2012)
  17. Šístek, Jakub; Sousedík, Bedřich; Burda, Pavel; Mandel, Jan; Novotný, Jaroslav: Application of the parallel BDDC preconditioner to the Stokes flow (2011)
  18. Šístek, Jakub; Novotný, Jaroslav; Mandel, Jan; Čertíková, Marta; Burda, Pavel: BDDC by a frontal solver and the stress computation in a hip joint replacement (2010)