Interconnected Hierarchical Structures for Fast Direct Elliptic Solution

We propose an interconnected hierarchical rank structure and use it to design a fast direct elliptic solver that can significantly reduce the amount of low-rank compression operations used in usual structured direct solvers. Interconnected structures within two hierarchical layers are exploited: the...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 91; no. 1; p. 15
Main Authors:	Liu, Xiao, Xia, Jianlin, V. de Hoop, Maarten, Ou, Xiaofeng
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2022 Springer Nature B.V
Subjects:	Algorithms Approximation Computational Mathematics and Numerical Analysis Design Factorization Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Solvers Theoretical Interconnected hierarchical structure Elliptic equation Basis reuse Fast sparse direct solver Neighbor tree Schur complement update
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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