BDDCML

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 38 articles , 2 standard articles )

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  1. Peng, Jie; Shu, Shi; Wang, Junxian; Zhong, Liuqiang: Adaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems (2021)
  2. Brown, Jed; He, Yunhui; Maclachlan, Scott: Local Fourier analysis of balancing domain decomposition by constraints algorithms (2019)
  3. Dohrmann, Clark R.; Pierson, Kendall H.; Widlund, Olof B.: Vertex-based preconditioners for the coarse problems of BDDC (2019)
  4. Eikeland, Erik; Marcinkowski, Leszek; Rahman, Talal: Overlapping Schwarz methods with adaptive coarse spaces for multiscale problems in 3D (2019)
  5. Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Weber, Janine: Preconditioning the coarse problem of BDDC methods -- three-level, algebraic multigrid, and vertex-based preconditioners (2019)
  6. Sousedík, Bedřich: On adaptive BDDC for the flow in heterogeneous porous media. (2019)
  7. Marcinkowski, Leszek; Rahman, Talal: Additive average Schwarz with adaptive coarse spaces: scalable algorithms for multiscale problems (2018)
  8. Tu, Xuemin; Wang, Bin: A BDDC algorithm for the Stokes problem with weak Galerkin discretizations (2018)
  9. Hanek, Martin; Šístek, Jakub; Burda, Pavel: The effect of irregular interfaces on the BDDC method for the Navier-Stokes equations (2017)
  10. Klawonn, Axel; Lanser, Martin; Niehoff, Balthasar; Radtke, Patrick; Rheinbach, Oliver: Newton-Krylov-FETI-DP with adaptive coarse spaces (2017)
  11. Loghin, Daniel: Constraint interface preconditioning for the incompressible Stokes equations (2017)
  12. Spillane, Nicole: Algebraic adaptive multipreconditioning applied to restricted additive Schwarz (2017)
  13. Zampini, Stefano; Tu, Xuemin: Multilevel balancing domain decomposition by constraints deluxe algorithms with adaptive coarse spaces for flow in porous media (2017)
  14. Badia, Santiago; Martín, Alberto F.; Principe, Javier: Multilevel balancing domain decomposition at extreme scales (2016)
  15. Hapla, Vaclav; Horak, David; Pospisil, Lukas; Cermak, Martin; Vasatova, Alena; Sojka, Radim: Solving contact mechanics problems with PERMON (2016)
  16. Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver: Adaptive coarse spaces for FETI-DP in three dimensions (2016)
  17. Spillane, Nicole: An adaptive multipreconditioned conjugate gradient algorithm (2016)
  18. Subber, Waad; Matouš, Karel: Asynchronous space-time algorithm based on a domain decomposition method for structural dynamics problems on non-matching meshes (2016)
  19. Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef: An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices (2016)
  20. Zampini, Stefano: PCBDDC: a class of robust dual-primal methods in PETSc (2016)

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