Computational engineering analysis with the new-generation space–time methods

K Takizawa - Computational Mechanics, 2014 - Springer
This is an overview of the new directions we have taken the space–time (ST) methods in
bringing solution and analysis to different classes of computationally challenging …

Space–time fluid–structure interaction modeling of patient‐specific cerebral aneurysms

TE Tezduyar, K Takizawa, T Brummer… - … Journal for Numerical …, 2011 - Wiley Online Library
We provide an extensive overview of the core and special techniques developed earlier by
the Team for Advanced Flow Simulation and Modeling (T★ AFSM) for space–time fluid …

Fluid–structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation

MC Hsu, D Kamensky, Y Bazilevs, MS Sacks… - Computational …, 2014 - Springer
We propose a framework that combines variational immersed-boundary and arbitrary
Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a …

High accuracy mantle convection simulation through modern numerical methods

M Kronbichler, T Heister… - Geophysical Journal …, 2012 - academic.oup.com
Numerical simulation of the processes in the Earth's mantle is a key piece in understanding
its dynamics, composition, history and interaction with the lithosphere and the Earth's core …

The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches

J Kiendl, Y Bazilevs, MC Hsu, R Wüchner… - Computer Methods in …, 2010 - Elsevier
In this paper we present an isogeometric formulation for rotation-free thin shell analysis of
structures comprised of multiple patches. The structural patches are C1-or higher-order …

Finite element methods for time-dependent convection–diffusion–reaction equations with small diffusion

V John, E Schmeyer - Computer methods in applied mechanics and …, 2008 - Elsevier
Numerical studies of stabilized finite element methods for solving scalar time-dependent
convection–diffusion–reaction equations with small diffusion are presented in this paper …

Improving stability of stabilized and multiscale formulations in flow simulations at small time steps

MC Hsu, Y Bazilevs, VM Calo, TE Tezduyar… - Computer Methods in …, 2010 - Elsevier
The objective of this paper is to show that use of the element-vector-based definition of
stabilization parameters, introduced in [TE Tezduyar, Computation of moving boundaries …

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

F Negri, A Manzoni, D Amsallem - Journal of Computational Physics, 2015 - Elsevier
In this work, we apply a Matrix version of the so-called Discrete Empirical Interpolation
(MDEIM) for the efficient reduction of nonaffine parametrized systems arising from the …

Space–time and ALE-VMS techniques for patient-specific cardiovascular fluid–structure interaction modeling

K Takizawa, Y Bazilevs, TE Tezduyar - Archives of Computational Methods …, 2012 - Springer
This is an extensive overview of the core and special space–time and Arbitrary Lagrangian–
Eulerian (ALE) techniques developed by the authors' research teams for patient-specific …

Turbocharger flow computations with the space–time isogeometric analysis (ST-IGA)

K Takizawa, TE Tezduyar, Y Otoguro, T Terahara… - Computers & …, 2017 - Elsevier
We focus on turbocharger computational flow analysis with a method that possesses higher
accuracy in spatial and temporal representations. In the method we have developed for this …