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 30 articles , 2 standard articles )

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  1. Marcinkowski, Leszek; Rahman, Talal: Additive average Schwarz with adaptive coarse spaces: scalable algorithms for multiscale problems (2018)
  2. Hanek, Martin; Šístek, Jakub; Burda, Pavel: The effect of irregular interfaces on the BDDC method for the Navier-Stokes equations (2017)
  3. Klawonn, Axel; Lanser, Martin; Niehoff, Balthasar; Radtke, Patrick; Rheinbach, Oliver: Newton-Krylov-FETI-DP with adaptive coarse spaces (2017)
  4. Loghin, Daniel: Constraint interface preconditioning for the incompressible Stokes equations (2017)
  5. Spillane, Nicole: Algebraic adaptive multipreconditioning applied to restricted additive Schwarz (2017)
  6. Zampini, Stefano; Tu, Xuemin: Multilevel balancing domain decomposition by constraints deluxe algorithms with adaptive coarse spaces for flow in porous media (2017)
  7. Badia, Santiago; Martín, Alberto F.; Principe, Javier: Multilevel balancing domain decomposition at extreme scales (2016)
  8. Hapla, Vaclav; Horak, David; Pospisil, Lukas; Cermak, Martin; Vasatova, Alena; Sojka, Radim: Solving contact mechanics problems with PERMON (2016)
  9. Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver: Adaptive coarse spaces for FETI-DP in three dimensions (2016)
  10. Spillane, Nicole: An adaptive multipreconditioned conjugate gradient algorithm (2016)
  11. Subber, Waad; Matouš, Karel: Asynchronous space-time algorithm based on a domain decomposition method for structural dynamics problems on non-matching meshes (2016)
  12. Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef: An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices (2016)
  13. Zampini, Stefano: PCBDDC: a class of robust dual-primal methods in PETSc (2016)
  14. Čertíková, Marta; Šístek, Jakub; Burda, Pavel: Different approaches to interface weights in the BDDC method in 3D. (2015)
  15. Gosselet, Pierre; Rixen, Daniel; Roux, François-Xavier; Spillane, Nicole: Simultaneous FETI and block FETI: robust domain decomposition with multiple search directions (2015)
  16. 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)
  17. Šístek, Jakub; Březina, Jan; Sousedík, Bedřich: BDDC for mixed-hybrid formulation of flow in porous media with combined mesh dimensions. (2015)
  18. Tu, Xuemin; Li, Jing: A FETI-DP type domain decomposition algorithm for three-dimensional incompressible Stokes equations (2015)
  19. Witkowski, T.; Ling, S.; Praetorius, S.; Voigt, A.: Software concepts and numerical algorithms for a scalable adaptive parallel finite element method (2015)
  20. Kim, Hyea Hyun; Chung, Eric T.; Lee, Chak Shing: FETI-DP preconditioners for a staggered discontinuous Galerkin formulation of the two-dimensional Stokes problem (2014)

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