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Journal ArticleDOI

A distributed memory parallel element-by-element scheme based on Jacobi-conditioned conjugate gradient for 3D finite element analysis

Yaoru Liu, +2 more
- 01 Apr 2007 - 
- Vol. 43, Iss: 6, pp 494-503
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TLDR
An algorithm based on the element-by-element (EBE) scheme of the FEM and Jacobi pre-conditioning conjugate gradient method is introduced, including the EBE computation algorithm for boundary conditions and all kinds of loads.
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This article is published in Finite Elements in Analysis and Design.The article was published on 2007-04-01. It has received 36 citations till now. The article focuses on the topics: Finite element method & Direct stiffness method.

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Citations
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Fine-grained GPU implementation of assembly-free iterative solver for finite element problems

TL;DR: A fine-grained implementation of matrix-free Conjugate Gradient (CG) solver for Finite Element Analysis (FEA) using Graphics Processing Unit (GPU) architectures takes advantage of Massively Parallel Processing (MPP) architectures performing well-balanced parallel calculations at the Degree-of-Freedom (DoF) level of finite elements.
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Application of an elastoplastic spectral‐element method to 3D slope stability analysis

TL;DR: In this paper, a spectral-element method for 3D time-independent elastoplastic problems in geomechanics is implemented for slope stability analyses ranging from small to large scales.
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Alya : Computational Solid Mechanics for Supercomputers

TL;DR: A solid mechanics simulation strategy for parallel supercomputers based on a hybrid approach is presented and a non-local parallel overset meshes method (Chimera-like) is implemented and the conservation of the scalability is demonstrated.
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Efficient matrix-free GPU implementation of Fixed Grid Finite Element Analysis

TL;DR: The numerical experiments show that the proposed matrix-free GPU instance of FGFEA can achieve significant speedup over classical sparse-matrix CPU implementation using similar iterative solver.
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Reconstruction of different scales of pore-fractures network of coal reservoir and its permeability prediction with Monte Carlo method

TL;DR: In this paper, different scales of pore-fissures 2D network models were reconstructed by Monte Carlo method and 2D seepage models were obtained through assignment zero method and using Matlab software.
References
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Book

Matrix computations

Gene H. Golub
Book

Using MPI: Portable Parallel Programming with the Message-Passing Interface

TL;DR: Using MPI as mentioned in this paper provides a thoroughly updated guide to the MPI (Message-Passing Interface) standard library for writing programs for parallel computers, including a comparison of MPI with sockets.
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Multilevelk-way Partitioning Scheme for Irregular Graphs

TL;DR: This paper presents and study a class of graph partitioning algorithms that reduces the size of the graph by collapsing vertices and edges, they find ak-way partitioning of the smaller graph, and then they uncoarsen and refine it to construct ak- way partitioning for the original graph.
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A critical comparison of nonlocal and gradient-enhanced softening continua

TL;DR: In this paper, the effect of adding nonlocal or gradient terms to the constitutive modeling may enhance the ability of the models to describe such situations, and the relation between these enhancements are examined in a continuum damage setting.
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