Journal of Computational Physics
Iterative methods for solving linear systems
Iterative methods for solving linear systems
A Supernodal Approach to Sparse Partial Pivoting
SIAM Journal on Matrix Analysis and Applications
BoomerAMG: a parallel algebraic multigrid solver and preconditioner
Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss
A Preconditioner for Linear Systems Arising From Interior Point Optimization Methods
SIAM Journal on Scientific Computing
Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow
Journal of Computational Physics
A Newton method using exact jacobians for solving fluid-structure coupling
Computers and Structures
Hi-index | 31.45 |
We present a block preconditioner for the efficient solution of the linear systems that arise when employing Newton's method to solve monolithically-coupled large-displacement fluid-structure interaction problems in which the update of the moving fluid mesh is performed by the equations of large-displacement elasticity. Following a theoretical analysis of the preconditioner, we propose an efficient implementation that yields a solver with near-optimal computational cost, in the sense that the time for the solution of the linear systems scales approximately linearly with the number of unknowns. We evaluate the performance of the preconditioner in selected two- and three-dimensional test problems.