Work

Finite element matrices in congruent subdomains and their effective use for large-scale computations

Year: 2005

Type: article

Abstract: The structure of finite element matrices in congruent subdomains is studied. When a domain has a form of symmetries and/or periodicities, it is decomposed into a union of congruent subdomains, each of which is an image of a reference subdomain by an affine transformation with an orthogonal matrix whose components consist of -1, 0, and 1. Stiffness matrices in subdomains are expressed by one in the reference subdomain with renumbering indices and changing signs corresponding to the orthogonal matrices. The memory requirements for a finite element solver are reduced by the domain decomposition, which is useful in large-scale computations. Reducing rates of memory requirements to store matrices are reported with examples of domains. Both applicability and limitations of the algorithm are discussed with an application to the Earth's mantle convection problem. Copyright © 2005 John Wiley & Sons, Ltd.

Source: International Journal for Numerical Methods in Engineering

DOI: 10.1002/nme.1248

Authors: Atsushi Suzuki, Masahisa Tabata

Institution: Kyushu University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funders: Ministry of Education, Culture, Sports, Science and Technology, Japan Society for the Promotion of Science

Awards: 部分構造反復法による3次元ストークス問題ソルバーの開発と実装, Construction of Numerical Analysis for High-performance Large-Scale Computation