# A comparison of the accuracy of the finite-difference solution to boundary value problems for the Helmholtz equation obtained by direct and iterative methods

Aplikace matematiky (1982)

- Volume: 27, Issue: 5, page 375-390
- ISSN: 0862-7940

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topČerv, Václav, and Segeth, Karel. "A comparison of the accuracy of the finite-difference solution to boundary value problems for the Helmholtz equation obtained by direct and iterative methods." Aplikace matematiky 27.5 (1982): 375-390. <http://eudml.org/doc/15258>.

@article{Červ1982,

abstract = {The development of iterative methods for solving linear algebraic equations has brought the question of when the employment of these methods is more advantageous than the use of the direct ones. In the paper, a comparison of the direct and iterative methods is attempted. The methods are applied to solving a certain class of boundary-value problems for elliptic partial differential equations which are used for the numerical modeling of electromagnetic fields in geophysics. The numerical experiments performed are studied from the point of view of the time and storage requirements and the achieved accuracy of the solution.},

author = {Červ, Václav, Segeth, Karel},

journal = {Aplikace matematiky},

keywords = {comparison; electromagnetic fields in geophysics; numerical experiments; accuracy; Helmholtz equation; comparison; electromagnetic fields in geophysics; numerical experiments; accuracy; Helmholtz equation},

language = {eng},

number = {5},

pages = {375-390},

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

title = {A comparison of the accuracy of the finite-difference solution to boundary value problems for the Helmholtz equation obtained by direct and iterative methods},

url = {http://eudml.org/doc/15258},

volume = {27},

year = {1982},

}

TY - JOUR

AU - Červ, Václav

AU - Segeth, Karel

TI - A comparison of the accuracy of the finite-difference solution to boundary value problems for the Helmholtz equation obtained by direct and iterative methods

JO - Aplikace matematiky

PY - 1982

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

VL - 27

IS - 5

SP - 375

EP - 390

AB - The development of iterative methods for solving linear algebraic equations has brought the question of when the employment of these methods is more advantageous than the use of the direct ones. In the paper, a comparison of the direct and iterative methods is attempted. The methods are applied to solving a certain class of boundary-value problems for elliptic partial differential equations which are used for the numerical modeling of electromagnetic fields in geophysics. The numerical experiments performed are studied from the point of view of the time and storage requirements and the achieved accuracy of the solution.

LA - eng

KW - comparison; electromagnetic fields in geophysics; numerical experiments; accuracy; Helmholtz equation; comparison; electromagnetic fields in geophysics; numerical experiments; accuracy; Helmholtz equation

UR - http://eudml.org/doc/15258

ER -

## References

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