A dual domain decomposition algorithm for the analysis of non-conforming isogeometric Kirchhoff–Love shells

T Hirschler, R Bouclier, D Dureisseix, A Duval… - Computer Methods in …, 2019 - Elsevier
Abstract Originally, Isogeometric Analysis is aimed at using geometric models for the
structural analysis. The actual realization of this objective to complex real-world structures …

[BOOK][B] IGA: Non-conforming Coupling and Shape Optimization of Complex Multipatch Structures, Volume 1

R Bouclier, T Hirschler - 2022 - books.google.com
Isogeometric analysis (IGA) consists of using the same higher-order and smooth spline
functions for the representation of geometry in Computer Aided Design as for the …

Large-Scale Simulation of Structural Dynamics Computing on GPU Clusters

Y Shi, N Nie, J Wang, K Lin, C Zhou, S Li… - Proceedings of the …, 2023 - dl.acm.org
Structural dynamics simulation plays an important role in research on reactor design and
complex engineering. The Hybrid Total Finite Element Tearing and Interconnecting (HTFETI) …

A FETI B-differentiable equation method for elastic frictional contact problem with nonconforming mesh

Z Yin, Z Hu, H Gao, G Lin - Computational Mechanics, 2024 - Springer
In this study, a novel approach is proposed by integrating the finite element tearing and
interconnecting (FETI) method into the B-differentiable equations (BDEs) method for the …

Use of direct solvers in TFETI massively parallel implementation

V Hapla, D Horák, M Merta - … , PARA 2012, Helsinki, Finland, June 10-13 …, 2013 - Springer
The FETI methods blend iterative and direct solvers. The dual problem is solved iteratively
using eg CG method; in each iteration, the auxiliary problems related to the application of an …

Implementation of MAKOC cyclic plasticity model with memory

R Halama, A Markopoulos, R Jančo… - Advances in Engineering …, 2017 - Elsevier
This paper deals with the description of implementation of the advanced cyclic plasticity
model called MAKOC, which is based on the AbdelKarim–Ohno kinematic hardening rule …

A TFETI domain decomposition solver for elastoplastic problems

M Čermák, T Kozubek, S Sysala, J Valdman - Applied Mathematics and …, 2014 - Elsevier
We propose an algorithm for the efficient parallel implementation of elastoplastic problems
with hardening based on the so-called TFETI (Total Finite Element Tearing and …

Hybrid localized spectral decomposition for multiscale problems

AL Madureira, M Sarkis - SIAM Journal on Numerical Analysis, 2021 - SIAM
We consider a finite element method for elliptic equations with heterogeneous and possibly
high-contrast coefficients based on primal hybrid formulation. We assume minimal regularity …

Solving contact mechanics problems with PERMON

V Hapla, D Horak, L Pospisil, M Cermak… - … Computing in Science …, 2016 - Springer
PERMON makes use of theoretical results in quadratic programming algorithms and domain
decomposition methods. It is built on top of the PETSc framework for numerical …

Efficient implementation of total FETI solver for graphic processing units using Schur complement

L Říha, T Brzobohatý, A Markopoulos… - … Computing in Science …, 2016 - Springer
This paper presents a new approach developed for acceleration of FETI solvers by Graphic
Processing Units (GPU) using the Schur complement (SC) technique. By using the SCs FETI …