AI Chat AI Image Generator AI Video Text to Speech

Parallel Direct Domain Decomposition Methods (D3M) for Finite Elements

02/11/2020

∙

by Javad Moshfegh, et al.

∙

∙

A parallel direct solution approach based on domain decomposition method (DDM) and directed acyclic graph (DAG) scheduling is outlined. Computations are represented as a sequence of small tasks that operate on domains of DDM or dense matrix blocks of a reduced matrix. These tasks can be statically scheduled for parallel execution using their DAG dependencies and weights that depend on estimates of computation and communication costs. Performance comparison with MUMPS 5.1.2 on electrically large problems suggest up to 20 better parallel efficiency, 30 while maintaining the same accuracy.

Javad Moshfegh
3 publications
Dimitrios G. Makris
1 publication
Marinos N. Vouvakis
3 publications

research

∙ 02/11/2020

Direct Domain Decomposition Method (D3M) for Finite Element Electromagnetic Computations

An exact arithmetic, memory efficient direct solution method for finite ...

0 Javad Moshfegh, et al. ∙

research

∙ 10/14/2020

Wukong: A Scalable and Locality-Enhanced Framework for Serverless Parallel Computing

Serverless computing is increasingly being used for parallel computing, ...

0 Benjamin Carver, et al. ∙

research

∙ 02/11/2020

Direct Solution of FEM Models: Are Sparse Direct Solvers the Best Strategy?

A brief summary of direct solution approaches for finite element methods...

0 Javad Moshfegh, et al. ∙

research

∙ 05/14/2018

A 3D Parallel Algorithm for QR Decomposition

Interprocessor communication often dominates the runtime of large matrix...

0 Grey Ballard, et al. ∙

research

∙ 09/04/2018

Robust and parallel scalable iterative solutions for large-scale finite cell analyses

The finite cell method is a highly flexible discretization technique for...

0 John N. Jomo, et al. ∙

research

∙ 09/11/2023

Parallel Selected Inversion for Space-Time Gaussian Markov Random Fields

Performing a Bayesian inference on large spatio-temporal models requires...

0 Abylay Zhumekenov, et al. ∙

research

∙ 07/11/2019

State-of-The-Art Sparse Direct Solvers

In this chapter we will give an insight into modern sparse elimination m...

0 Matthias Bollhöfer, et al. ∙