Title | ||
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Path-following interior point method: Theory and applications for the Stokes flow with a stick-slip boundary condition |
Abstract | ||
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•The improved path-following interior point method is proposed for minimization of quadratic functions subject to box and equality constraints.•Numerical experiments include large-scale problems arising from the TFETI domain decom- position method applied for solving the Stokes flow with the stick-slip boundary condition.•The TFETI decomposition leads to the problems with the singular Hessian that is symmetric, positive definite only on the null space of the equality constraint matrix.•The inner linear systems are solved by the projected conjugate gradient method preconditioned by oblique projectors. |
Year | DOI | Venue |
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2019 | 10.1016/j.advengsoft.2018.06.010 | Advances in Engineering Software |
Keywords | Field | DocType |
Path-following interior point method,Projected conjugate gradient method,Preconditioning,Domain decomposition,Stokes flow,Stick-slip boundary condition | Conjugate gradient method,Boundary value problem,Mathematical optimization,Linear system,Computer science,Mathematical analysis,Positive-definite matrix,Hessian matrix,Interior point method,Stokes flow,Domain decomposition methods | Journal |
Volume | ISSN | Citations |
129 | 0965-9978 | 0 |
PageRank | References | Authors |
0.34 | 4 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Tomás Brzobohatý | 1 | 9 | 3.16 |
Marta Jarošová | 2 | 5 | 2.21 |
R. Kučera | 3 | 60 | 8.78 |
Vaclav Satek | 4 | 4 | 3.82 |