Error analysis of the nonlinear multigrid method of the second kind

Wolfgang Hackbusch

Aplikace matematiky (1981)

  • Volume: 26, Issue: 1, page 18-29
  • ISSN: 0862-7940

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Hackbusch, Wolfgang. "Error analysis of the nonlinear multigrid method of the second kind." Aplikace matematiky 26.1 (1981): 18-29. <http://eudml.org/doc/15177>.

@article{Hackbusch1981,
author = {Hackbusch, Wolfgang},
journal = {Aplikace matematiky},
keywords = {multigrid method of the second kind; coarse grid smoothing iterations; convergence rate; numerical tests; multigrid method of the second kind; coarse grid smoothing iterations; convergence rate; numerical tests},
language = {eng},
number = {1},
pages = {18-29},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Error analysis of the nonlinear multigrid method of the second kind},
url = {http://eudml.org/doc/15177},
volume = {26},
year = {1981},
}

TY - JOUR
AU - Hackbusch, Wolfgang
TI - Error analysis of the nonlinear multigrid method of the second kind
JO - Aplikace matematiky
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 1
SP - 18
EP - 29
LA - eng
KW - multigrid method of the second kind; coarse grid smoothing iterations; convergence rate; numerical tests; multigrid method of the second kind; coarse grid smoothing iterations; convergence rate; numerical tests
UR - http://eudml.org/doc/15177
ER -

References

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  1. G. P. Astrachancev, An iteiative method of solving elliptic net problems, Ž. vyčisl. Mat. mat. Fiz. 11 (1971), 439-448 (Russian). (1971) 
  2. N. S. Bachvalov, On the convergence of a relaxation method with natural constraints on the elliptic operator, Ž. vyčisl. Mat. mat. Fiz. 6 (1966), 861 - 885 (Russian). (1966) 
  3. A. Brandt, 10.1090/S0025-5718-1977-0431719-X, Mathematics of Computation 31 (1977), 333-390. (1977) Zbl0373.65054MR0431719DOI10.1090/S0025-5718-1977-0431719-X
  4. R. P. Fedorenko, The speed of convergence of one iterative process, Ž. vyčisl. Mat. mat. Fiz. 4 (1964), 559-564 (Russian). (1964) Zbl0148.39501MR0182163
  5. W. Hackbusch, On the convergence of multi-grid iterations, Beiträge zur Numerischen Mathematik 9, to appear 1981. (1981) Zbl0465.65054
  6. W. Hackbusch, Die schoelle Auflösung der Fredholmschen Integralgleichung zweiter Art, in Beiträge zur Numerischen Mathematik 9, to appear 1981. (1981) 
  7. W. Hackbusch, 10.1137/0317018, SIAM Journal on Control and Optimization 17 (1979), 231 - 244. (1979) Zbl0402.49025MR0525024DOI10.1137/0317018
  8. W. Hackbusch, On the fast solving of elliptic control problems, To appear in JOTA. 
  9. W. Hackbusch, 10.1007/BF01397652, Numerische Mathematik 32 (1979), 83-95. (1979) MR0525639DOI10.1007/BF01397652
  10. W. Hackbusch, Numerical solution of nonlinear equations by the multi-grid iteration of the second kind, In: Numerical Methods for Non-linear Problems, Vol. 1 (C. Taylor, E. Hinton, O. R. J. Owen, eds.). Swansea: Pineridge Press 1980. (1980) MR0820282

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