A new era in scientific computing: Domain decomposition methods in hybrid CPU–GPU architectures

M Papadrakakis, G Stavroulakis… - Computer Methods in …, 2011 - Elsevier
Recent advances in graphics processing units (GPUs) technology open a new era in high
performance computing. Applications of GPUs to scientific computations are attracting a lot …

An implicit asynchronous variational integrator for flexible multibody dynamics

S Gu, J Chen, Q Tian - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
To accurately capture the dynamic responses of flexible multibody systems with complex
geometric shapes or with contact and collision problems, extremely fine meshes have to be …

Scalable TFETI algorithm for the solution of multibody contact problems of elasticity

Z Dostál, T Kozubek, V Vondrák… - International Journal …, 2010 - Wiley Online Library
Abstract A Total FETI (TFETI)‐based domain decomposition algorithm with preconditioning
by a natural coarse grid of the rigid body motions is adapted to the solution of multibody …

A multilevel FETI‐DP method and its performance for problems with billions of degrees of freedom

J Toivanen, P Avery, C Farhat - International Journal for …, 2018 - Wiley Online Library
A multilevel generalization of the dual‐primal finite element tearing and interconnecting
(FETI‐DP) domain decomposition method is proposed for very large‐scale discrete …

A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction

Z Dostál, T Kozubek, A Markopoulos… - Computer methods in …, 2012 - Elsevier
A Total FETI (TFETI) based domain decomposition algorithm with preconditioning by a
natural coarse grid defined by the rigid body motions of subdomains is adapted to the …

A practical factorization of a Schur complement for PDE-constrained distributed optimal control

Y Choi, C Farhat, W Murray, M Saunders - Journal of Scientific Computing, 2015 - Springer
A distributed optimal control problem with the constraint of a linear elliptic partial differential
equation is considered. A necessary optimality condition for this problem forms a saddle …

A dual‐primal finite element tearing and interconnecting method for nonlinear variational inequalities utilizing linear local problems

CO Lee, J Park - … Journal for Numerical Methods in Engineering, 2021 - Wiley Online Library
We propose a novel dual‐primal finite element tearing and interconnecting method for
nonlinear variational inequalities. The proposed method is based on a particular Fenchel …

[HTML][HTML] A scalable TFETI algorithm for two-dimensional multibody contact problems with friction

Z Dostál, T Kozubek, P Horyl, T Brzobohatý… - Journal of computational …, 2010 - Elsevier
A Total FETI (TFETI) based domain decomposition algorithm with preconditioning by a
natural coarse grid of rigid body motions is adapted to the solution of two-dimensional …

Scalable TFETI with optional preconditioning by conjugate projector for transient frictionless contact problems of elasticity

Z Dostál, T Kozubek, T Brzobohatý… - Computer methods in …, 2012 - Elsevier
The FETI based domain decomposition method is adapted to implement the time step of the
Newmark scheme for the solution of dynamic contact problems without friction. If the ratio of …

Multiscale modal analysis of fully-loaded spent nuclear fuel canisters

O Ezvan, X Zeng, R Ghanem, B Gencturk - Computer Methods in Applied …, 2020 - Elsevier
In this paper, an efficient numerical procedure is proposed, which is adapted to the modal
analysis of a fully-loaded spent nuclear fuel canister exhibiting distinct structural levels …