TY - JOUR AU - Kruse, Carola AU - Darrigrand, Vincent AU - Tardieu, Nicolas AU - Arioli, Mario AU - RĂ¼de, Ulrich PY - 2020 DA - 2020/11/17 TI - Application of an iterative Golub-Kahan algorithm to structural mechanics problems with multi-point constraints JO - Advanced Modeling and Simulation in Engineering Sciences SP - 45 VL - 7 IS - 1 AB - Kinematic relationships between degrees of freedom, also named multi-point constraints, are frequently used in structural mechanics. In this paper, the Craig variant of the Golub-Kahan bidiagonalization algorithm is used as an iterative method to solve the arising linear system with a saddle point structure. The condition number of the preconditioned operator is shown to be close to unity and independent of the mesh size. This property is proved theoretically and illustrated on a sequence of test problems of increasing complexity, including concrete structures enforced with pretension cables and the coupled finite element model of a reactor containment building. The Golub-Kahan algorithm converges in only a small number of steps for all considered test problems and discretization sizes. Furthermore, it is robust in practical cases that are otherwise considered to be difficult for iterative solvers. SN - 2213-7467 UR - https://doi.org/10.1186/s40323-020-00181-2 DO - 10.1186/s40323-020-00181-2 ID - Kruse2020 ER -