Geodesic
An element-by-element version of variable-step multilevel preconditioning methods
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 3, pp. 209-226

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In this paper, an element-by-element implementation of the recently proposed variable-step multilevel preconditioning method for solving second-order elliptic boundary value problems is considered. A special technique based on the internal properties of the preconditioning are used for analysis of the rate of convergence. Performance results on standard test problems are presented and discussed. 
@article{SJVM_2003_6_3_a0,
     author = {Owe Axelsson and M. Larin},
     title = {An element-by-element version of variable-step multilevel preconditioning methods},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {209--226},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a0/}
}
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Owe Axelsson; M. Larin. An element-by-element version of variable-step multilevel preconditioning methods. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 3, pp. 209-226. http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a0/