The computation and communication complexity of a parallel banded system solver
ACM Transactions on Mathematical Software (TOMS)
Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
On Stable Parallel Linear System Solvers
Journal of the ACM (JACM)
Practical Parallel Band Triangular System Solvers
ACM Transactions on Mathematical Software (TOMS)
On the Nonnormality of Subiteration for a Fluid-Structure-Interaction Problem
SIAM Journal on Scientific Computing
A parallel hybrid banded system solver: the SPIKE algorithm
Parallel Computing - Parallel matrix algorithms and applications (PMAA'04)
On some parallel banded system solvers
Parallel Computing
A domain-decomposing parallel sparse linear system solver
Journal of Computational and Applied Mathematics
Stabilized space---time computation of wind-turbine rotor aerodynamics
Computational Mechanics
Multiscale space---time fluid---structure interaction techniques
Computational Mechanics
Space---time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters
Computational Mechanics
Parallel BDD-based monolithic approach for acoustic fluid-structure interaction
Computational Mechanics
Patient-specific computer modeling of blood flow in cerebral arteries with aneurysm and stent
Computational Mechanics
Space---time VMS computation of wind-turbine rotor and tower aerodynamics
Computational Mechanics
On numerical modeling of animal swimming and flight
Computational Mechanics
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Iterative solution of large sparse nonsymmetric linear equation systems is one of the numerical challenges in arterial fluid---structure interaction computations. This is because the fluid mechanics parts of the fluid + structure block of the equation system that needs to be solved at every nonlinear iteration of each time step corresponds to incompressible flow, the computational domains include slender parts, and accurate wall shear stress calculations require boundary layer mesh refinement near the arterial walls. We propose a hybrid parallel sparse algorithm, domain-decomposing parallel solver (DDPS), to address this challenge. As the test case, we use a fluid mechanics equation system generated by starting with an arterial shape and flow field coming from an FSI computation and performing two time steps of fluid mechanics computation with a prescribed arterial shape change, also coming from the FSI computation. We show how the DDPS algorithm performs in solving the equation system and demonstrate the scalability of the algorithm.