GA‐based multi‐objective optimization for retrofit design on a multi‐core PC cluster

K Park, BK Oh, HS Park, SW Choi - Computer‐Aided Civil and …, 2015 - Wiley Online Library
This article presents a distributed nondominated sorting genetic algorithm II (NSGA‐II) for
optimal seismic retrofit design using buckling restrained braces (BRBs) on a cluster of multi …

Block iterative methods and recycling for improved scalability of linear solvers

P Jolivet, PH Tournier - SC'16: Proceedings of the International …, 2016 - ieeexplore.ieee.org
Contemporary large-scale Partial Differential Equation (PDE) simulations usually require the
solution of large and sparse linear systems. Moreover, it is often needed to solve these …

Batched sparse and mixed-precision linear algebra interface for efficient use of GPU hardware accelerators in scientific applications

P Luszczek, A Abdelfattah, H Anzt, A Suzuki… - Future Generation …, 2024 - Elsevier
Abstract Batched Sparse Linear Algebra has become an emergent processing mode on
modern hardware accelerators based on Graphics Processing Units (GPUs) developed over …

New implementations for the Simultaneous‐FETI method

R Molina, FX Roux - International Journal for Numerical …, 2019 - Wiley Online Library
In this work, we present alternative implementations for the Simultaneous‐FETI (S‐FETI)
method. Developed in recent years, this method has shown to be very robust for highly …

On the use of graph centralities to compute generalized inverse of singular finite element operators: Applications to the analysis of floating substructures

C Bovet - International Journal for Numerical Methods in …, 2023 - Wiley Online Library
This article introduces a robust and affordable method to compute nullspace and
generalized inverse of finite element operators involved in dual domain decomposition …

Treatment of singular matrices in the Hybrid total FETI method

A Markopoulos, L Říha, T Brzobohatý… - … Methods in Science and …, 2017 - Springer
The goal is to show how to treat singular matrices via kernel detection so that any robust
direct sparse solver for non-singular matrices may be used. This technique applied in the …

A Hybrid Factorization Algorithm for Sparse Matrix with Mixed Precision Arithmetic

A Suzuki - arXiv preprint arXiv:2208.01907, 2022 - arxiv.org
A new hybrid algorithm for LDU-factorization for large sparse matrix combining iterative
solver, which can keep the same accuracy as the classical factorization, is proposed. The …

[PDF][PDF] A Hybrid Factorzation Solver with Mixed Precision Arithmetic for Sparse Matrices

A Suzuki - 2023 - sc23.supercomputing.org
The computation by lower precision arithmetic or mixed precision arithmetic is one of most
hot topics for the latest or the next generation computing system in HPC environment. It is …

Using espreso as linear solver library for third party fem tools for solving large scale problems

O Meca, L Říha, A Markopoulos, T Brzobohatý… - … Computing in Science …, 2018 - Springer
ESPRESO is a FEM package that includes a Hybrid Total FETI (HTFETI) linear solver
targeted at solving large scale engineering problems. The scalability of the solver was tested …

Hybridization of FETI Methods

R Molina-Sepulveda - 2017 - theses.hal.science
In this work new domain decomposition methods and new implementations for existing
methods are developed. A new method based on previous domain decomposition methods …