Numerical solution of saddle point problems

M Benzi, GH Golub, J Liesen - Acta numerica, 2005 - cambridge.org
Large linear systems of saddle point type arise in a wide variety of applications throughout
computational science and engineering. Due to their indefiniteness and often poor spectral …

Modelling of fluid–structure interactions with the space–time finite elements: solution techniques

TE Tezduyar, S Sathe - International Journal for Numerical …, 2007 - Wiley Online Library
The space–time fluid–structure interaction (FSI) techniques developed by the Team for
Advanced Flow Simulation and Modeling (T★ AFSM) have been applied to a wide range of …

Arterial fluid mechanics modeling with the stabilized space–time fluid–structure interaction technique

TE Tezduyar, S Sathe, M Schwaab… - … Journal for Numerical …, 2008 - Wiley Online Library
We present an overview of how the arterial fluid mechanics problems can be modeled with
the stabilized space–time fluid–structure interaction (SSTFSI) technique developed by the …

Solution techniques for the fully discretized equations in computation of fluid–structure interactions with the space–time formulations

TE Tezduyar, S Sathe, K Stein - Computer Methods in Applied Mechanics …, 2006 - Elsevier
We provide an overview of the solution techniques we have developed for the fully
discretized equations encountered at every time step in computation of fluid–structure …

Fluid–structure interaction modeling of complex parachute designs with the space–time finite element techniques

S Sathe, R Benney, R Charles, E Doucette, J Miletti… - Computers & …, 2007 - Elsevier
In recent years we introduced a number of enhancements to the space–time techniques we
developed for computer modeling of Fluid–Structure Interaction (FSI) problems. These …

A robust preconditioner for fluid–structure interaction problems

T Washio, T Hisada, H Watanabe… - Computer Methods in …, 2005 - Elsevier
Two preconditioners are presented for equation systems of strongly coupled fluid–structure
interaction computations where the structure is modeled by shell elements. These …

Modeling of fluid-structure interactions with the space-time techniques

TE Tezduyar, S Sathe, K Stein, L Aureli - Fluid-Structure Interaction …, 2006 - Springer
We provide an overview of the space-time finite element techniques developed by the Team
for Advanced Flow Simulation and Modeling (T★ AFSM) for modeling of fluid–structure …

Parallel finite element computations in fluid mechanics

TE Tezduyar, A Sameh - Computer methods in applied mechanics and …, 2006 - Elsevier
We provide an overview of the role of parallel finite element computations in fluid
mechanics. We emphasize the class of flow problems involving moving boundaries and …

Preconditioned nullspace method for the two-dimensional Oseen problem

SL Borne - SIAM journal on scientific computing, 2009 - SIAM
The Oseen problem, which arises in the simulation of the time-dependent Navier–Stokes
equations for incompressible fluid flow, leads to indefinite, nonsymmetric and possibly ill …

Parallel minimum norm solution of sparse block diagonal column overlapped underdetermined systems

FS Torun, M Manguoglu, C Aykanat - ACM Transactions on …, 2017 - dl.acm.org
Underdetermined systems of equations in which the minimum norm solution needs to be
computed arise in many applications, such as geophysics, signal processing, and …