[PDF][PDF] MULTISCALE FINITE ELEMENT METHOD FOR PDE CONSTRAINED OPTIMIZATION IN HIGH GRADIENT PROBLEMS

OC AKEREMALE - 2023 - eprints.utm.my
ABSTRACT A multiscale finite element method (MsFEM) was introduced for high gradient
Partial Differential Equation (PDE) constrained optimization problem. Starting with the …

Preparing depth imaging applications for Exascale challenges and impacts

A Farjallah - 2014 - theses.hal.science
As we are expecting Exascale systems for the 2018-2020 time frame, performance analysis
and characterization of applications for new processor architectures and large scale systems …

Parallel Communication-Avoiding Algorithm for Triangular Matrix Inversion on Homogeneous and Heterogeneous Platforms

R Mahfoudhi, Z Mahjoub, W Nasri - International Journal of Parallel …, 2015 - Springer
We address in this paper the parallelization of a recursive algorithm for large scale triangular
matrix inversion based on the 'Divide and Conquer'(D&C) paradigm. A set of different …

Calcul Haute Performance: Caractérisation d'architectures et optimisation d'applications pour les futures générations de supercalculateurs

J Pourroy - 2021 - theses.hal.science
Les systèmes d'information et les infrastructures de Calcul Haute Performance (HPC)
participent activement à l'amélioration des connaissances scientifiques et à l'évolution de …

Improving the solvability of ill-conditioned systems of linear equations by reducing their condition numbers of their matrices.

AS Mahama - 2015 - ir.knust.edu.gh
This thesis is concerned with the solution of a canonical example of ill-conditioned system
called Hilbert Systems of Linear Equations (HSLE's) via the solution of an equivalent …

Multilevel communication optimal LU and QR factorizations for hierarchical platforms

L Grigori, M Jacquelin, A Khabou - arXiv preprint arXiv:1303.5837, 2013 - arxiv.org
This study focuses on the performance of two classical dense linear algebra algorithms, the
LU and the QR factorizations, on multilevel hierarchical platforms. We first introduce a new …