Fast multigrid solver

Petr Vaněk

Applications of Mathematics (1995)

  • Volume: 40, Issue: 1, page 1-20
  • ISSN: 0862-7940

Abstract

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In this paper a black-box solver based on combining the unknowns aggregation with smoothing is suggested. Convergence is improved by overcorrection. Numerical experiments demonstrate the efficiency.

How to cite

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Vaněk, Petr. "Fast multigrid solver." Applications of Mathematics 40.1 (1995): 1-20. <http://eudml.org/doc/32899>.

@article{Vaněk1995,
abstract = {In this paper a black-box solver based on combining the unknowns aggregation with smoothing is suggested. Convergence is improved by overcorrection. Numerical experiments demonstrate the efficiency.},
author = {Vaněk, Petr},
journal = {Applications of Mathematics},
keywords = {algebraic multigrid method; smoothing; unknowns aggregation; black-box solver; multigrid algorithm; aggregation of unknowns; smoothing; performance; overcorrection; convergence; two-level algorithm; numerical experiments},
language = {eng},
number = {1},
pages = {1-20},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Fast multigrid solver},
url = {http://eudml.org/doc/32899},
volume = {40},
year = {1995},
}

TY - JOUR
AU - Vaněk, Petr
TI - Fast multigrid solver
JO - Applications of Mathematics
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 1
SP - 1
EP - 20
AB - In this paper a black-box solver based on combining the unknowns aggregation with smoothing is suggested. Convergence is improved by overcorrection. Numerical experiments demonstrate the efficiency.
LA - eng
KW - algebraic multigrid method; smoothing; unknowns aggregation; black-box solver; multigrid algorithm; aggregation of unknowns; smoothing; performance; overcorrection; convergence; two-level algorithm; numerical experiments
UR - http://eudml.org/doc/32899
ER -

References

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  1. Iterative Methods for Numerical Solving of the Boundary Value Problems of Elasticity, Thesis, Ostrava, 1989. (Czech) (1989) 
  2. Modification of the Two-level Algorithm with Overcorrection, Appl. Math. 37 (1992), no. 1. (1992) MR1152154
  3. The Acceleration of Two-level Algorithm by Aggregation in Smoothing Process, Appl. Math. 37 (1992), no. 5. (1992) MR1175929
  4. Acceleration of a Two-level Algorithm by Smoothing Transfer Operators, Appl. Math. 37 (1992), no. 4.. (1992) MR1180605
  5. Multi-Grid Methods and Applications, Springer-Verlag, 1985. (1985) Zbl0595.65106
  6. Adaptive Iterative Solvers in Finite Elements, (to appear). (to appear) 
  7. Finite Element Solution of Boundary Value Problems, Academic Press, 1984. (1984) MR0758437
  8. Multi-Grid Methods, SIAM (1987). (1987) 
  9. private communication, Nynice, 1993. (1993) 
  10. 10.1002/cnm.1640090307, Communications in Numerical Methods in Engineering 9 (1993). (1993) Zbl0796.65126MR1208381DOI10.1002/cnm.1640090307

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