# Reducing the bandwidth in solving linear algebraic systems arising in the finite element method

Aplikace matematiky (1980)

- Volume: 25, Issue: 4, page 286-304
- ISSN: 0862-7940

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topSegethová, Jitka. "Reducing the bandwidth in solving linear algebraic systems arising in the finite element method." Aplikace matematiky 25.4 (1980): 286-304. <http://eudml.org/doc/15152>.

@article{Segethová1980,

abstract = {The matrix of the system of linear algebraic equations, arising in the application of the finite element method to one-dimensional problems, is a bandmatrix. In approximations of high order, the band is very wide but the elements situated far from the diagonal of the matrix are negligibly small as compared with the diagonal elements.
The aim of the paper is to show on a model problem that in practice it is possible to work with a matrix of the system the bandwidth of which is reduced. A simple numerical example illustates the discussion.},

author = {Segethová, Jitka},

journal = {Aplikace matematiky},

keywords = {reducing the bandwidth; finite element method; numerical example; reducing the bandwidth; finite element method; numerical example},

language = {eng},

number = {4},

pages = {286-304},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Reducing the bandwidth in solving linear algebraic systems arising in the finite element method},

url = {http://eudml.org/doc/15152},

volume = {25},

year = {1980},

}

TY - JOUR

AU - Segethová, Jitka

TI - Reducing the bandwidth in solving linear algebraic systems arising in the finite element method

JO - Aplikace matematiky

PY - 1980

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 25

IS - 4

SP - 286

EP - 304

AB - The matrix of the system of linear algebraic equations, arising in the application of the finite element method to one-dimensional problems, is a bandmatrix. In approximations of high order, the band is very wide but the elements situated far from the diagonal of the matrix are negligibly small as compared with the diagonal elements.
The aim of the paper is to show on a model problem that in practice it is possible to work with a matrix of the system the bandwidth of which is reduced. A simple numerical example illustates the discussion.

LA - eng

KW - reducing the bandwidth; finite element method; numerical example; reducing the bandwidth; finite element method; numerical example

UR - http://eudml.org/doc/15152

ER -

## References

top- I. Babuška, Approximation by hill functions, Comment. Math. Univ. Carolinae 11 (1970), 787-811. (1970) MR0292309
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- I. S. Gradštein I. M. Ryžik, Tables of integrals, sums, series, and products, (Russian). 5th edition. Nauka, Moskva 1971. (1971)
- K. Segeth, Universal approximation by hill functions, Czechoslovak Math. J. 22 (1972), 612-640. (1972) Zbl0247.41011MR0310502
- J. Segethová, 10.1137/0709018, SIAM J. Numer. Anal. 9 (1972), 199-204. (1972) MR0305552DOI10.1137/0709018
- J. H. Wilkinson, 10.1145/321075.321076, J. Assoc. Comput. Mach. 8 (1961), 281-330. (1961) Zbl0109.09005MR0176602DOI10.1145/321075.321076
- J. H. Wilkinson, Rounding errors in algebraic processes, HMSO, London 1963. (1963) Zbl1041.65502MR0161456

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