NDLI: A Sparse ℋ-Matrix Arithmetic. : Part II: Application to Multi-Dimensional Problems

Content Provider	Springer Nature Link
Author	Hackbusch, W. Khoromskij, B. N.
Copyright Year	2000
Abstract	The preceding Part I of this paper has introduced a class of matrices (ℋ-matrices) which are data-sparse and allow an approximate matrix arithmetic of almost linear complexity. The matrices discussed in Part I are able to approximate discrete integral operators in the case of one spatial dimension.In the present Part II, the construction of ℋ-matrices is explained for FEM and BEM applications in two and three spatial dimensions. The orders of complexity of the various matrix operations are exactly the same as in Part I. In particular, it is shown that the applicability of ℋ-matrices does not require a regular mesh. We discuss quasi-uniform unstructured meshes and the case of composed surfaces as well.
Starting Page	21
Ending Page	47
Page Count	27
File Format	PDF
ISSN	0010485X
Journal	Computing
Volume Number	64
Issue Number	1
e-ISSN	14365057
Language	English
Publisher	Springer-Verlag
Publisher Date	2000-02-22
Publisher Place	Wien
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Computational Theory and Mathematics Computational Mathematics Numerical Analysis Computer Science Applications Software

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A Sparse ℋ-Matrix Arithmetic. : Part II: Application to Multi-Dimensional Problems