MatSol: MATLAB efficient solvers for problems in engineering. The algorithms implemented in MatSol library are based on our long-term research focused on the development of scalable algorithms for multibody contact and contact shape optimization problems, 2D or 3D, with or without friction. Isotropic and anisotropic, Tresca and Coulomb friction models are supported. Matsol library serves as a referential implementation of those algorithms. Variants of FETI and BETI known for their parallel and numerical scalability are used for domain decomposition. The resulting class of QP problems are solved using our special QP algorithms. The unique feature of them is their capability to solve these QP problems with a bounded spectrum in O(1) iterations. Theory yields the error bounds that are independent of conditioning of constraints and the results are valid even for linearly dependent equality constraints. ...

References in zbMATH (referenced in 24 articles )

Showing results 1 to 20 of 24.
Sorted by year (citations)

1 2 next

  1. Kučera, Radek; Motyčková, K.; Markopoulos, A.; Haslinger, J.: On the inexact symmetrized globally convergent semi-smooth Newton method for 3D contact problems with Tresca friction: the R-linear convergence rate (2020)
  2. Foltyn, Ladislav; Vlach, Oldřich: Implementation of full linearization in semismooth Newton method for 2D contact problem. (2017)
  3. Cermak, M.; Haslinger, J.; Kozubek, T.; Sysala, S.: Discretization and numerical realization of contact problems for elastic-perfectly plastic bodies. II: Numerical realization, limit analysis (2015)
  4. Dostál, Z.; Kozubek, T.; Vlach, O.; Brzobohatý, T.: Reorthogonalization-based stiffness preconditioning in FETI algorithms with applications to variational inequalities. (2015)
  5. Kučera, Radek; Motyčková, Kristina; Markopoulos, Alexandros: The R-linear convergence rate of an algorithm arising from the semi-smooth Newton method applied to 2D contact problems with friction (2015)
  6. Beremlijski, Petr; Haslinger, Jaroslav; Outrata, Jiří; Pathó, Róbert: Numerical solution of 2D contact shape optimization problems involving a solution-dependent coefficient of friction (2014)
  7. Bouchala, Jiří; Dostál, Zdeněk; Kozubek, Tomáš; Pospíšil, Lukáš; Vodstrčil, Petr: On the solution of convex QPQC problems with elliptic and other separable constraints with strong curvature (2014)
  8. Čermák, M.; Kozubek, T.; Sysala, S.; Valdman, J.: A TFETI domain decomposition solver for elastoplastic problems (2014)
  9. Dostál, Zdeněk; Brzobohatý, Tomáš; Horák, David; Kozubek, Tomáš; Vodstrčil, Petr: On R-linear convergence of semi-monotonic inexact augmented Lagrangians for bound and equality constrained quadratic programming problems with application (2014)
  10. Kučera, R.; Kozubek, T.; Markopoulos, A.: On large-scale generalized inverses in solving two-by-two block linear systems (2013)
  11. Kučera, R.; Machalová, J.; Netuka, H.; Ženčák, P.: An interior-point algorithm for the minimization arising from 3D contact problems with friction (2013)
  12. Pospíšil, Lukáš: An optimal algorithm with Barzilai-Borwein steplength and superrelaxation for QPQC problem. (2013)
  13. Dostál, Zdeněk; Kozubek, Tomáš: An optimal algorithm and superrelaxation for minimization of a quadratic function subject to separable convex constraints with applications (2012)
  14. Dostál, Zdeněk; Kozubek, Tomáš; Brzobohatý, Tomáš; Markopoulos, Alexandros; Vlach, Oldřich: Scalable TFETI with optional preconditioning by conjugate projector for transient frictionless contact problems of elasticity (2012)
  15. Dostál, Z.; Kozubek, T.; Markopoulos, A.; Brzobohatý, T.; Vondrák, V.; Horyl, P.: A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction (2012)
  16. Sadowská, Marie; Dostál, Zdeněk; Kozubek, Tomáš; Markopoulos, Alexandros; Bouchala, Jiří: Engineering multibody contact problems solved by scalable TBETI (2012)
  17. Brzobohatý, T.; Dostál, Z.; Kozubek, T.; Kovář, P.; Markopoulos, A.: Cholesky decomposition with fixing nodes to stable computation of a generalized inverse of the stiffness matrix of a floating structure (2011)
  18. Dostál, Zdeněk; Kozubek, Tomáš; Markopoulos, Alexandros; Menšík, Martin: Cholesky decomposition of a positive semidefinite matrix with known kernel (2011)
  19. Haslinger, Jaroslav; Kučera, Radek; Ligurský, Tomáš: Qualitative analysis of 3D elastostatic contact problems with orthotropic Coulomb friction and solution-dependent coefficients of friction (2011)
  20. Sadowská, M.; Dostál, Z.; Kozubek, T.; Markopoulos, A.; Bouchala, J.: Scalable total BETI based solver for 3D multibody frictionless contact problems in mechanical engineering (2011)

1 2 next